Strässer, Robin; Worthmann, Karl; Mezić, Igor; Berberich, Julian; Schaller, Manuel; Allgöwer, Frank:
An overview of Koopman-based control: From error bounds to closed-loop guarantees
#!ilm_mods_00078605!#
In: Annual reviews in control: a journal of IFAC, the International Federation of Automatic Control, vol. 61 (2026), art. 101035
DOI: https://doi.org/10.1016/j.arcontrol.2025.101035
Göttlich, Simone; Oppeneiger, Benedikt; Schaller, Manuel; Worthmann, Karl:
Spatial exponential decay of perturbations in optimal control of general evolution equations
#!ilm_mods_00079537!#
In: Control, optimisation and calculus of variations: COCV, vol. 32 (2026), art. 11
DOI: https://doi.org/10.1051/cocv/2025100
Schmitz, Philipp; Worthmann, Karl; Faulwasser, Timm; Rapisarda, Paolo:
Data-driven continuous-time optimal control: a unified framework using orthogonal functions
#!ilm_mods_00079930!#
In: Mathematics of control, signals, and systems: MCSS, (2026), p. in press
DOI: https://doi.org/10.1007/s00498-026-00444-0
Keiner, Dörthe; Mühlenhoff, Julian; Henia, Mohamed; Rabel, Fabian; Reith, Wolfgang [et al.]:
Curved trajectories in stereotactic neurosurgery: is it feasible?
#!ilm_mods_00078958!#
In: Neurosurgical review, vol. 49 (2026), no. 1, art. 79
DOI: https://doi.org/10.1007/s10143-025-03976-2
Strässer, Robin; Schaller, Manuel; Worthmann, Karl; Berberich, Julian; Allgöwer, Frank:
SafEDMD: a Koopman-based data-driven controller design framework for nonlinear dynamical systems
#!ilm_mods_00078960!#
In: Automatica: a journal of IFAC, the International Federation of Automatic Control, vol. 185 (2026), art. 112732
DOI: https://doi.org/10.1016/j.automatica.2025.112732
Kirchhoff, Jonas; Maschke, Bernhard:
On a generalisation of metriplectic systems
#!ilm_mods_00078950!#
In: Geometric science of information: 7th International Conference, GSI 2025, Saint-Malo, France, October 29–31, 2025 ; proceedings, Part II (ISBN 978-3-032-03920-0), (2026), pp. 242–250
DOI: https://doi.org/10.1007/978-3-032-03921-7_25
Ju, Xuqian; Sun, Qing; Dennstädt, Dario; Worthmann, Karl; Du, Dajun; Fei, Minrui:
Model predictive control for nonlinear switched systems based on Koopman theory
#!ilm_mods_00079204!#
In: Systems & control letters, vol. 209 (2026), art. 106340
DOI: https://doi.org/10.1016/j.sysconle.2025.106340
Pradovera, Davide; Gosea, Ion Victor; Heiland, Jan:
Barycentric rational approximation for learning the index of a dynamical system from limited data
#!ilm_mods_00079594!#
In: Journal on scientific computing, vol. 107 (2026), no. 1, art. 11
DOI: https://doi.org/10.1007/s10915-026-03215-w
Kirchhoff, Jonas:
Geometry and behaviour of port-controlled systems for thermodynamics
#!ilm_mods_00079754!#
Ilmenau, 2026
DOI: https://doi.org/10.22032/dbt.69027
Philipp, Friedrich M.; Schaller, Manuel; Boshoff, Septimus; Peitz, Sebastian; Nüske, Feliks; Worthmann, Karl:
Variance representations and convergence rates for data-driven approximations of Koopman operators
#!ilm_mods_00079873!#
In: Physica: D: Nonlinear phenomena, vol. 492 (2026), art. 135
DOI: https://doi.org/10.1016/j.physd.2026.135223
Othmane, Amine; Schmitz, Philipp; Worthmann, Karl; Flaßkamp, Kathrin:
A data-based image representation for continuous-time LTI systems
#!ilm_mods_00080127!#
In: IEEE control systems letters, (2026), p. in press
DOI: https://doi.org/10.1109/LCSYS.2026.3689687
Bold, Lea; Schimperna, Irene; Worthmann, Karl; Köhler, Johannes:
Exponential stability of data-driven nonlinear MPC based on input/output models
#!ilm_mods_00080323!#
In: IEEE control systems letters, vol. 10 (2026), pp. 511–516
DOI: https://doi.org/10.1109/LCSYS.2026.3699392
Heeg, Johannes; Worthmann, Karl:
Limitations of LTI Koopman modeling for nonlinear control systems
#!ilm_mods_00080602!#
In: IEEE control systems letters, vol. 10 (2026), pp. 1279–1284
DOI: https://doi.org/10.1109/LCSYS.2026.3706464
Strässer, Robin; Schaller, Manuel; Worthmann, Karl; Berberich, Julian; Allgöwer, Frank:
Koopman-based feedback design with stability guarantees
#!ilm_mods_00017525!#
In: IEEE transactions on automatic control, vol. 70 (2025), no. 1, pp. 355–370
DOI: https://doi.org/10.1109/TAC.2024.3425770
Bold, Lea; Grüne, Lars; Schaller, Manuel; Worthmann, Karl:
Data-driven MPC with stability guarantees using extended dynamic mode decomposition
#!ilm_mods_00017708!#
In: IEEE transactions on automatic control, vol. 70 (2025), no. 1, pp. 534–541
DOI: https://doi.org/10.1109/TAC.2024.3431169
Ilchmann, Achim; Kirchhoff, Jonas; Schaller, Manuel:
Port-Hamiltonian descriptor systems are relative generically controllable and stabilizable
#!ilm_mods_00016553!#
In: Mathematics of control, signals, and systems: MCSS, vol. 37 (2025), no. 1, pp. 23–59
DOI: https://doi.org/10.1007/s00498-024-00392-7
Philipp, Friedrich M.; Schaller, Manuel; Worthmann, Karl; Peitz, Sebastian; Nüske, Feliks:
Invariance of Gaussian RKHSs under Koopman operators of stochastic differential equations with constant matrix coefficients
#!ilm_mods_00030614!#
In: Proceedings in applied mathematics and mechanics: PAMM, vol. 25 (2025), no. 1, art. e202400127
[94. Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) (Magdeburg, 18.-22.03.2024)]
DOI: https://doi.org/10.1002/pamm.202400127
Lanza, Lukas; Dennstädt, Dario; Berger, Thomas; Worthmann, Karl:
Safe continual learning in model predictive control with prescribed bounds on the tracking error
#!ilm_mods_00053749!#
In: International journal of robust and nonlinear control: IFAC affiliated journal, vol. 35 (2025), no. 13, pp. 5569–5582
DOI: https://doi.org/10.1002/rnc.8001
Guo, Yang; Schaller, Manuel; Worthmann, Karl; Streif, Stefan:
Modularized data-driven approximation of the Koopman operator and generator
#!ilm_mods_00053751!#
In: Physica: D: Nonlinear phenomena, vol. 476 (2025), art. 134651
DOI: https://doi.org/10.1016/j.physd.2025.134651
Guo, Lei; Heiland, Jan; Nüske, Feliks:
Koopman-based control for stochastic systems: application to enhanced sampling
#!ilm_mods_00053992!#
In: IFAC-PapersOnLine, vol. 59 (2025), no. 1, pp. 283–288
[11. Vienna International Conference on Mathematical Modelling (MATHMOD) (Vienna, 19.-21.02.2025)]
DOI: https://doi.org/10.1016/j.ifacol.2025.03.049
Philipp, Friedrich M.; Reis, Timo; Schaller, Manuel:
Infinite-dimensional port-Hamiltonian systems: a system node approach
#!ilm_mods_00051145!#
In: Mathematics of control, signals, and systems: MCSS, vol. 37 (2025), no. 3, pp. 573–620
DOI: https://doi.org/10.1007/s00498-025-00412-0
Göttlich, Simone; Schaller, Manuel; Worthmann, Karl:
Perturbations in PDE-constrained optimal control decay exponentially in space
#!ilm_mods_00053054!#
In: Control, optimisation and calculus of variations: COCV, vol. 31 (2025), art. 27
DOI: https://doi.org/10.1051/cocv/2025014
Harder, Hans; Nüske, Feliks; Philipp, Friedrich M.; Schaller, Manuel; Worthmann, Karl; Peitz, Sebastian:
Group-convolutional extended dynamic mode decomposition
#!ilm_mods_00058889!#
In: Physica: D: Nonlinear phenomena, vol. 480 (2025), art. 134725
DOI: https://doi.org/10.1016/j.physd.2025.134725
Köhne, Frederik; Philipp, Friedrich M.; Schaller, Manuel; Schiela, Anton; Worthmann, Karl:
L∞-error bounds for approximations of the Koopman operator by kernel extended dynamic mode decomposition
#!ilm_mods_00042754!#
In: SIAM journal on applied dynamical systems, vol. 24 (2025), no. 1, pp. 501–529
DOI: https://doi.org/10.1137/24M1650120
Lanza, Lukas; Faulwasser, Timm; Worthmann, Karl:
Distributed optimization for energy grids: a tutorial on ADMM and ALADIN
#!ilm_mods_00043048!#
In: System level control and optimisation of microgrids. - Stevenage : The Institution of Engineering and Technology, 2025, pp. 121–145
DOI: https://doi.org/10.1049/pbpo149e_ch5
Peitz, Sebastian; Harder, Hans; Nüske, Feliks; Philipp, Friedrich M.; Schaller, Manuel; Worthmann, Karl:
Equivariance and partial observations in Koopman operator theory for partial differential equations
#!ilm_mods_00043074!#
In: Journal of computational dynamics, vol. 12 (2025), no. 2, pp. 305–324
DOI: https://doi.org/10.3934/jcd.2024035
Göbel, Jens; Dennstadt, Dario; Lanza, Lukas; Worthmann, Karl; Berger, Thomas; Damm, Tobias:
On model predictive funnel control with equilibrium endpoint constraints
#!ilm_mods_00063343!#
In: IEEE control systems letters, vol. 9 (2025), pp. 1622–1627
DOI: https://doi.org/10.1109/LCSYS.2025.3580028
Philipp, Friedrich M.; Schaller, Manuel; Worthmann, Karl; Peitz, Sebastian; Nüske, Feliks:
Error analysis of kernel EDMD for prediction and control in the Koopman framework
#!ilm_mods_00063376!#
In: Journal of nonlinear science, vol. 35 (2025), no. 5, art. 92
DOI: https://doi.org/10.1007/s00332-025-10182-3
Goreac, Dan; Kirchhoff, Jonas; Maschke, Bernhard:
Generating functions for irreversible Hamiltonian systems
#!ilm_mods_00063465!#
In: Journal of geometry and physics: JGP, vol. 216 (2025), art. 105578
DOI: https://doi.org/10.1016/j.geomphys.2025.105578
Strässer, Robin; Berberich, Julian; Schaller, Manuel; Worthmann, Karl; Allgöwer, Frank:
Koopman-based control of nonlinear systems with closed-loop guarantees
#!ilm_mods_00063429!#
In: Automatisierungstechnik: AT, vol. 73 (2025), no. 6, pp. 413–428
DOI: https://doi.org/10.1515/auto-2024-0162
Bold, Lea; Lanza, Lukas; Worthmann, Karl:
Two-component controller design to safeguard data-driven predictive control: a tutorial exemplified with DeePC and Koopman MPC
#!ilm_mods_00064638!#
In: Automatisierungstechnik: AT, vol. 73 (2025), no. 6, pp. 383–397
DOI: https://doi.org/10.1515/auto-2024-0166
Strässer, Robin; Schaller, Manuel; Berberich, Julian; Worthmann, Karl; Allgöwer, Frank:
Kernel-based error bounds of bilinear Koopman surrogate models for nonlinear data-driven control
#!ilm_mods_00064636!#
In: IEEE control systems letters, vol. 9 (2025), pp. 1892–1897
DOI: https://doi.org/10.1109/LCSYS.2025.3582630
Esterhuizen, Willem; Flaßkamp, Kathrin; Hoffmann, Matthias; Worthmann, Karl:
Globally convergent homotopies for discrete-time optimal control
#!ilm_mods_00074274!#
In: SIAM journal on control and optimization, vol. 63 (2025), no. 4, pp. 2686–2711
DOI: https://doi.org/10.1137/23M1579224
Zhang, Jingjing; Heiland, Jan; Wang, Yu-Long:
Frequency-dependent switching control from the perspective of gain scheduling
#!ilm_mods_00075023!#
In: 2025 37th Chinese Control and Decision Conference (CCDC): 16-19 May 2025, Xiamen, China (ISBN 979-8-3315-1057-2), (2025), pp. 5912–5919
[37th Chinese Control and Decision Conference, CCDC 2025]
DOI: https://doi.org/10.1109/CCDC65474.2025.11090505
Lanza, Lukas; Köhler, Johannes; Dennstädt, Dario; Berger, Thomas; Worthmann, Karl:
A model-free approach to control barrier functions using funnel control
#!ilm_mods_00061249!#
In: IEEE control systems letters, vol. 9 (2025), pp. 1183–1188
DOI: https://doi.org/10.1109/LCSYS.2025.3581519
Molodchyk, Oleksii; Schmitz, Philipp; Engelmann, Alexander; Worthmann, Karl; Faulwasser, Timm:
Towards data-driven multi-stage OPF
#!ilm_mods_00078308!#
In: 2025 IEEE Kiel PowerTech: Kiel, Germany, 29 June 2025 - 03 July 2025 (ISBN 979-8-3315-4397-6), (2025)
DOI: https://doi.org/10.1109/PowerTech59965.2025.11180719
Heiland, Jan; Gosea, Ion Victor; Römer, Ulrich; Pradovera, Davide; Sreekumar, Harikrishnan; Langer, Sabine:
Adaptive rational interpolation and higher-order SVD for low-rank tensor approximation in structural dynamics simulations
#!ilm_mods_00078339!#
In: 2025 European Control Conference (ECC): 24-27 June 2025 (ISBN 978-3-907144-12-1), (2025), pp. 3213–3218
DOI: https://doi.org/10.23919/ECC65951.2025.11186909
Öztürk, Emrah; Kaspar, Kevin; Faulwasser, Timm; Worthmann, Karl; Kepplinger, Peter; Rheinberger, Klaus:
A python toolbox for flexibility aggregation and disaggregation: PyFlexAD
#!ilm_mods_00078641!#
In: Sustainable energy, grids and networks, vol. 44 (2025), art. 102033
DOI: https://doi.org/10.1016/j.segan.2025.102033
Oppeneiger, Benedikt; Schaller, Manuel; Worthmann, Karl:
Spatial decay of perturbations in transport equations with optimal boundary control
#!ilm_mods_00078679!#
In: IFAC-PapersOnLine, vol. 59 (2025), no. 8, pp. 66–71
[5. IFAC Workshop on Control of Systems Governed by Partial Differential Equations (CPDE) (Beijing, 18.-20.06.2025)]
DOI: https://doi.org/10.1016/j.ifacol.2025.08.068
Schimperna, Irene; Bold, Lea; Worthmann, Karl:
Offset-free nonlinear MPC with Koopman-based surrogate models
#!ilm_mods_00078729!#
In: IFAC-PapersOnLine, vol. 59 (2025), no. 19, pp. 466–471
[13. IFAC Symposium on Nonlinear Control Systems (NOLCOS) (Reykjavik, 23.-25.07.2025)]
DOI: https://doi.org/10.1016/j.ifacol.2025.11.078
Lanza, Lukas; Braun, Philipp:
Lyapunov based dynamic controller designs for reach-and-avoid problems
#!ilm_mods_00078728!#
In: IFAC-PapersOnLine, vol. 59 (2025), no. 19, pp. 597–602
[13. IFAC Symposium on Nonlinear Control Systems (NOLCOS) (Reykjavik, 23.-25.07.2025)]
DOI: https://doi.org/10.1016/j.ifacol.2025.11.100
Bold, Lea; Schaller, Manuel; Schimperna, Irene; Worthmann, Karl:
Kernel EDMD for data-driven nonlinear Koopman MPC with stability guarantees
#!ilm_mods_00078730!#
In: IFAC-PapersOnLine, vol. 59 (2025), no. 19, pp. 478–483
[13. IFAC Symposium on Nonlinear Control Systems (NOLCOS) (Reykjavik, 23.-25.07.2025)]
DOI: https://doi.org/10.1016/j.ifacol.2025.11.080
Kirchhoff, Jonas; Maschke, Bernhard:
Port-Hamiltonian representation of metriplectic systems and their interconnection
#!ilm_mods_00078731!#
In: IFAC-PapersOnLine, vol. 59 (2025), no. 19, pp. 526–531
[13. IFAC Symposium on Nonlinear Control Systems (NOLCOS) (Reykjavik, 23.-25.07.2025)]
DOI: https://doi.org/10.1016/j.ifacol.2025.11.088
Beckmann, Carolina; Schmitz, Philipp; Gensior, Albrecht:
A Fourier-series modeling approach and loss minimization for a Dual Active Bridge
#!ilm_mods_00078893!#
In: IECON 2025 – 51st Annual Conference of the IEEE Industrial Electronics Society: Madrid, Spain, 14-17 October 2025 (ISBN 979-8-3315-9681-1), (2025)
DOI: https://doi.org/10.1109/IECON58223.2025.11221168
Bold, Lea; Philipp, Friedrich M.; Schaller, Manuel; Worthmann, Karl:
Kernel-based Koopman approximants for control: flexible sampling, error analysis, and stability
#!ilm_mods_00078931!#
In: SIAM journal on control and optimization, vol. 63 (2025), no. 6, pp. 4044–4071
DOI: https://doi.org/10.1137/24M1715945
Zhang, Jingjing; Heiland, Jan; Wang, Yu-Long:
Adaptive H∞ control for disturbance rejection of partially-modeled-disturbance systems
#!ilm_mods_00065789!#
In: Journal of systems science and complexity, vol. 38 (2025), no. 6, pp. 2352–2369
DOI: https://doi.org/10.1007/s11424-025-5017-3
Rahimipour Behbahani, Milad; Gadotti, Filipe Ricardo; Schmitz, Philipp; Schlegel, Steffen; Westermann, Dirk:
Subtransient fault in a DC distribution network with considering upstream grid
#!ilm_mods_00066673!#
In: 2025 AEIT HVDC International Conference (AEIT HVDC): May 29-30, 2025, Genoa, Italy (ISBN 979-8-3315-1408-2), (2025)
DOI: https://doi.org/10.1109/AEITHVDC66044.2025.11079525
Rosenfelder, Mario; Bold, Lea; Eschmann, Hannes; Eberhard, Peter; Worthmann, Karl; Ebel, Henrik:
Data-driven predictive control of nonholonomic robots based on a bilinear Koopman realization: data does not replace geometry
#!ilm_mods_00071720!#
In: Robotics and autonomous systems: international journal, vol. 194 (2025), art. 105156
DOI: https://doi.org/10.1016/j.robot.2025.105156
Christensen, Ole; Hasannasab, Marzieh; Philipp, Friedrich M.; Stoeva, Diana:
The mystery of Carleson frames
#!ilm_mods_00013861!#
In: Applied and computational harmonic analysis, vol. 72 (2024), art. 101659
DOI: https://doi.org/10.1016/j.acha.2024.101659
Eingartner, Anna; Naumann, Steffi; Schmitz, Philipp; Worthmann, Karl:
Adjustable robust energy operation planning under uncertain renewable energy production
#!ilm_mods_00014274!#
In: Energies: open-access journal of related scientific research, technology development and studies in policy and management, vol. 17 (2024), no. 8, art. 1917
DOI: https://doi.org/10.3390/en17081917
Kirchhoff, Jonas:
Generic observability for port-Hamiltonian descriptor systems
#!ilm_mods_00015902!#
In: Mathematics of control, signals, and systems: MCSS, vol. 36 (2024), no. 4, pp. 831–873
DOI: https://doi.org/10.1007/s00498-024-00388-3
Berger, Thomas; Dennstädt, Dario:
Funnel MPC for nonlinear systems with arbitrary relative degree
#!ilm_mods_00015898!#
In: Automatica: a journal of IFAC, the International Federation of Automatic Control, vol. 167 (2024), art. 111759
DOI: https://doi.org/10.1016/j.automatica.2024.111759
Faulwasser, Timm; Flaßkamp, Kathrin; Röbenack, Klaus; Worthmann, Karl:
Optimal control - analysis, algorithms and applications
#!ilm_mods_00010956!#
In: Automatisierungstechnik: AT, vol. 72 (2024), no. 2, pp. 77–79
DOI: https://doi.org/10.1515/auto-2023-0235
Öztürk, Emrah; Faulwasser, Timm; Worthmann, Karl; Preißinger, Markus; Rheinberger, Klaus:
Alleviating the curse of dimensionality in Minkowski sum approximations of storage flexibility
#!ilm_mods_00017169!#
In: IEEE transactions on smart grid, vol. 15 (2024), no. 6, pp. 5733–5743
DOI: https://doi.org/10.1109/TSG.2024.3420156
Lanza, Lukas:
Exact output tracking in prescribed finite time via funnel control
#!ilm_mods_00019136!#
In: Automatica: a journal of IFAC, the International Federation of Automatic Control, vol. 170 (2024), art. 111873
DOI: https://doi.org/10.1016/j.automatica.2024.111873
Berger, Thomas; Dennstädt, Dario; Lanza, Lukas; Worthmann, Karl:
Robust funnel model predictive control for output tracking with prescribed performance
#!ilm_mods_00019153!#
In: SIAM journal on control and optimization, vol. 62 (2024), no. 4, pp. 2071–2097
DOI: https://doi.org/10.1137/23M1551195
Philipp, Friedrich M.:
On differential-algebraic equations with bounded spectrum in banach spaces
#!ilm_mods_00020353!#
In: Systems theory and PDEs: open problems, recent results, and new directions (ISBN 978-3-031-64990-5), (2024), pp. 167–187
DOI: https://doi.org/10.1007/978-3-031-64991-2_7
Gernandt, Hannes; Philipp, Friedrich M.; Preuster, Till; Schaller, Manuel:
On the equivalence of geometric and descriptor representations of linear port-Hamiltonian systems
#!ilm_mods_00020354!#
In: Systems theory and PDEs: open problems, recent results, and new directions (ISBN 978-3-031-64990-5), (2024), pp. 149–165
DOI: https://doi.org/10.1007/978-3-031-64991-2_6
Kleyman, Viktoria; Eggert, Sophie; Schmidt, Christian; Schaller, Manuel; Worthmann, Karl; Brinkmann, Ralf; Müller, Matthias A.:
Model predictive temperature control for retinal laser treatments
#!ilm_mods_00020365!#
In: Translational vision science & technology: TVST, vol. 13 (2024), no. 9, art. 28
DOI: https://doi.org/10.1167/tvst.13.9.28
Kirchhoff, Jonas; Maschke, Bernhard:
Remarks on the geometric structure of port-Hamiltonian systems
#!ilm_mods_00020764!#
In: IFAC-PapersOnLine, vol. 58 (2024), no. 6, pp. 274–279
[8. IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control (LHMNC) (Besancon, 10.-12.06.2024)]
DOI: https://doi.org/10.1016/j.ifacol.2024.08.293
Oppeneiger, Benedikt; Lanza, Lukas; Schell, Maximilian; Dennstädt, Dario; Schaller, Manuel; Zamzow, Bert; Berger, Thomas; Worthmann, Karl:
Model predictive control of a magnetic levitation system with prescribed output tracking performance
#!ilm_mods_00018019!#
In: Control engineering practice: a journal of IFAC, the International Federation of Automatic Control, vol. 151 (2024), art. 106018
DOI: https://doi.org/10.1016/j.conengprac.2024.106018
Dennstädt, Dario; Lanza, Lukas; Worthmann, Karl:
On model predictive control with sampled-data input for output tracking with prescribed performance
#!ilm_mods_00018275!#
In: 2024 European Control Conference (ECC): 25-28 June 2024 (ISBN 979-8-3315-4092-0), (2024), pp. 2978–2984
DOI: https://doi.org/10.23919/ECC64448.2024.10590848
Lanza, Lukas; Dennstädt, Dario; Worthmann, Karl; Schmitz, Philipp; Şen, Gökçen Devlet; Trenn, Stephan; Schaller, Manuel:
Sampled-data funnel control and its use for safe continual learning
#!ilm_mods_00018459!#
In: Systems & control letters, vol. 192 (2024), art. 105892
DOI: https://doi.org/10.1016/j.sysconle.2024.105892
Esterhuizen, Willem; Sauerteig, Philipp; Streif, Stefan; Worthmann, Karl:
MPC without terminal ingredients tailored to the SEIR compartmental epidemic model
#!ilm_mods_00020132!#
In: Systems & control letters, vol. 193 (2024), art. 105908
DOI: https://doi.org/10.1016/j.sysconle.2024.105908
Philipp, Friedrich M.; Schaller, Manuel; Worthmann, Karl; Peitz, Sebastian; Nüske, Feliks:
Error bounds for kernel-based approximations of the Koopman operator
#!ilm_mods_00013515!#
In: Applied and computational harmonic analysis, vol. 71 (2024), art. 101657
DOI: https://doi.org/10.1016/j.acha.2024.101657
Schaller, Manuel; Zeller, Amelie; Böhm, Michael; Sawodny, Oliver; Tarín, Cristina; Worthmann, Karl:
Energy-optimal control of adaptive structures
#!ilm_mods_00010949!#
In: Automatisierungstechnik: AT, vol. 72 (2024), no. 2, pp. 107–119
DOI: https://doi.org/10.1515/auto-2023-0090
Philipp, Friedrich:
Frames in theory and application
#!ilm_mods_00030720!#
Ilmenau, 2024
Gottschalk, Simon; Lanza, Lukas; Worthmann, Karl; Lux-Gottschalk, Kerstin:
Reinforcement learning for docking maneuvers with prescribed performance
#!ilm_mods_00025935!#
In: IFAC-PapersOnLine, vol. 58 (2024), no. 17, pp. 196–201
[26. International Symposium on Mathematical Theory of Networks and Systems (MTNS) (Cambridge, 19.-23.08.2024)]
DOI: https://doi.org/10.1016/j.ifacol.2024.10.163
Philipp, Friedrich M.; Schaller, Manuel; Worthmann, Karl; Faulwasser, Timm; Maschke, Bernhard:
Optimal control of port-Hamiltonian systems: energy, entropy, and exergy
#!ilm_mods_00020957!#
In: Systems & control letters, vol. 194 (2024), art. 105942
DOI: https://doi.org/10.1016/j.sysconle.2024.105942
Lanza, Lukas:
On derivative-free sample-and-hold control with prescribed performance
#!ilm_mods_00021085!#
In: IFAC-PapersOnLine, vol. 58 (2024), no. 17, pp. 121–126
[26. International Symposium on Mathematical Theory of Networks and Systems (MTNS) (Cambridge, 19.-23.08.2024)]
DOI: https://doi.org/10.1016/j.ifacol.2024.10.124
Schmitz, Philipp; Faulwasser, Timm; Rapisarda, Paolo; Worthmann, Karl:
A continuous-time fundamental lemma and its application in data-driven optimal control
#!ilm_mods_00021140!#
In: Systems & control letters, vol. 194 (2024), art. 105950
DOI: https://doi.org/10.1016/j.sysconle.2024.105950
Philipp, Friedrich M.:
Representing the dissipation of infinite-dimensional linear port-Hamiltonian systems
#!ilm_mods_00020766!#
In: IFAC-PapersOnLine, vol. 58 (2024), no. 6, pp. 304–308
[8. IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control (LHMNC) (Besancon, 10.-12.06.2024)]
DOI: https://doi.org/10.1016/j.ifacol.2024.08.298
Worthmann, Karl; Strässer, Robin; Schaller, Manuel; Berberich, Julian; Allgöwer, Frank:
Data-driven MPC with terminal conditions in the Koopman framework
#!ilm_mods_00042070!#
In: 2024 IEEE 63rd Conference on Decision and Control (CDC): 16-19 Dec. 2024, Milano, Italy (ISBN 979-8-3503-1633-9), (2024), pp. 146–151
DOI: https://doi.org/10.1109/CDC56724.2024.10886773
Kirchhoff, Jonas:
A behavioural approach to port-controlled systems
#!ilm_mods_00043031!#
In: IFAC-PapersOnLine, vol. 58 (2024), no. 21, pp. 244–249
[4. IFAC Conference on Modelling, Identification and Control of Nonlinear Systems (MICNON) (Lyon, 04.-06.09.2024)]
DOI: https://doi.org/10.1016/j.ifacol.2024.10.220
Schmitz, Philipp; Schaller, Manuel; Voigt, Matthias; Worthmann, Karl:
Fast and memory-efficient optimization for large-scale data-driven predictive control
#!ilm_mods_00043030!#
In: IFAC-PapersOnLine, vol. 58 (2024), no. 21, pp. 220–225
[4. IFAC Conference on Modelling, Identification and Control of Nonlinear Systems (MICNON) (Lyon, 04.-06.09.2024)]
DOI: https://doi.org/10.1016/j.ifacol.2024.10.216
Bold, Lea; Rosenfelder, Mario; Eschmann, Hannes; Ebel, Henrik; Worthmann, Karl:
On Koopman-based surrogate models for non-holonomic robots
#!ilm_mods_00043029!#
In: IFAC-PapersOnLine, vol. 58 (2024), no. 21, pp. 55–60
[4. IFAC Conference on Modelling, Identification and Control of Nonlinear Systems (MICNON) (Lyon, 04.-06.09.2024)]
DOI: https://doi.org/10.1016/j.ifacol.2024.10.142
Öztürk, Emrah; Kaspar, Kevin; Faulwasser, Timm; Worthmann, Karl; Kepplinger, Peter; Rheinberger, Klaus:
Towards efficient aggregation of storage flexibilities in power grids
#!ilm_mods_00080569!#
In: NEIS 2024: Conference on Sustainable Energy Supply and Energy Storage Systems, Hamburg, 16-17 September 2024 (ISBN 978-3-8007-6464-8), (2024), pp. 151–155
DOI: https://doi.org/10.30420/566464020
Ilchmann, Achim; Kirchhoff, Jonas:
Relative genericity of controllablity and stabilizability for differential-algebraic systems
#!ilm_mods_00001444!#
In: Mathematics of control, signals, and systems: MCSS, vol. 35 (2023), no. 1, pp. 45–76
DOI: https://doi.org/10.1007/s00498-022-00332-3
Nüske, Feliks; Peitz, Sebastian; Philipp, Friedrich; Schaller, Manuel; Worthmann, Karl:
Finite-Data Error Bounds for Koopman-Based Prediction and Control
#!ilm_mods_00001467!#
In: Journal of nonlinear science, vol. 33 (2023), no. 1, art. 14
DOI: https://doi.org/10.1007/s00332-022-09862-1
Viehweg, Johannes; Worthmann, Karl; Mäder, Patrick:
Parameterizing echo state networks for multi-step time series prediction
#!ilm_mods_00001728!#
In: Neurocomputing: an international journal, vol. 522 (2023), pp. 214–228
DOI: https://doi.org/10.1016/j.neucom.2022.11.044
Caragea, Andrei; Lee, Dae Gwan; Philipp, Friedrich; Voigtlaender, Felix:
A Balian–Low type theorem for Gabor Riesz sequences of arbitrary density
#!ilm_mods_00002142!#
In: Mathematische Zeitschrift, vol. 303 (2023), no. 2, art. 48
DOI: https://doi.org/10.1007/s00209-022-03182-6
Faulwasser, Timm; Ou, Ruchuan; Pan, Guanru; Schmitz, Philipp; Worthmann, Karl:
Behavioral theory for stochastic systems? A data-driven journey from Willems to Wiener and back again
#!ilm_mods_00003749!#
In: Annual reviews in control: a journal of IFAC, the International Federation of Automatic Control, vol. 55 (2023), pp. 92–117
DOI: https://doi.org/10.1016/j.arcontrol.2023.03.005
Schmitz, Philipp; Lanza, Lukas; Worthmann, Karl:
Safe data-driven reference tracking with prescribed performance
#!ilm_mods_00009342!#
In: 2023 27th International Conference on System Theory, Control and Computing (ICSTCC): October 11-13, 2023, Timisoara, Romania : proceedings (ISBN 979-8-3503-3799-0), (2023), pp. 454–460
DOI: https://doi.org/10.1109/ICSTCC59206.2023.10308521
Berger, Thomas; Lanza, Lukas:
Funnel control of linear systems with arbitrary relative degree under output measurement losses
#!ilm_mods_00010239!#
In: IMA journal of mathematical control and information, vol. 40 (2023), no. 4, pp. 691–713
DOI: https://doi.org/10.1093/imamci/dnad029
Sen, Gökcen Devlet; Schaller, Manuel; Worthmann, Karl:
Stage-cost design for optimal and model predictive control of linear port-Hamiltonian systems: energy efficiency and robustness
#!ilm_mods_00008701!#
In: Proceedings in applied mathematics and mechanics: PAMM, vol. 23 (2023), no. 4, art. e202300296
[93. Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) (Dresden, 30.05.-02.06.2023)]
DOI: https://doi.org/10.1002/pamm.202300296
Philipp, Friedrich:
Relatively bounded perturbations of J-non-negative operators
#!ilm_mods_00001801!#
In: Complex analysis and operator theory, vol. 17 (2023), no. 1, art. 14
DOI: https://doi.org/10.1007/s11785-022-01263-2
Kleyman, Viktoria; Schaller, Manuel; Mordmuller, Mario; Wilson, Mitsuru; Brinkmann, Ralf; Worthmann, Karl; Müller, Matthias A.:
State and Parameter Estimation for Retinal Laser Treatment
#!ilm_mods_00002265!#
In: IEEE transactions on control systems technology: a publication of the IEEE Control Systems Society, vol. 31 (2023), no. 3, pp. 1366–1378
DOI: https://doi.org/10.1109/TCST.2022.3228442
Grüne, Lars; Worthmann, Karl:
Homogeneity for control systems in discrete time
#!ilm_mods_00005531!#
In: IFAC-PapersOnLine, vol. 56 (2023), no. 1, pp. 385–390
[12. IFAC Symposium on Nonlinear Control Systems (NOLCOS 2022) (Canberra, 04.-06.01.2023)]
DOI: https://doi.org/10.1016/j.ifacol.2023.02.065
Schaller, Manuel; Worthmann, Karl; Philipp, Friedrich; Peitz, Sebastian; Nüske, Feliks:
Towards reliable data-based optimal and predictive control using extended DMD
#!ilm_mods_00005537!#
In: IFAC-PapersOnLine, vol. 56 (2023), no. 1, pp. 169–174
[12. IFAC Symposium on Nonlinear Control Systems (NOLCOS 2022) (Canberra, 04.-06.01.2023)]
DOI: https://doi.org/10.1016/j.ifacol.2023.02.029
Sauerteig, Philipp:
Optimisation-based control in electrical grids and epidemiology
#!ilm_mods_00006130!#
[Berlin] : epubli, 2023. - ISBN 978-3-7575-7548-9
Hoffmann, Matthias K.; Esterhuizen, Willem; Worthmann, Karl; Flaßkamp, Kathrin:
Path planning for concentric tube robots: a toolchain with application to stereotactic neurosurgery
#!ilm_mods_00009261!#
In: IFAC-PapersOnLine, vol. 56 (2023), no. 2, pp. 2871–2876
[22. IFAC World Congress (Yokohama, 09.-14.07.2023)]
DOI: https://doi.org/10.1016/j.ifacol.2023.10.1403
Kirchhoff, Jonas; Maschke, Bernhard:
On the generating functions of irreversible port-Hamiltonian systems
#!ilm_mods_00009257!#
In: IFAC-PapersOnLine, vol. 56 (2023), no. 2, pp. 10447–10452
[22. IFAC World Congress (Yokohama, 09.-14.07.2023)]
DOI: https://doi.org/10.1016/j.ifacol.2023.10.1061
Maschke, Bernhard; Kirchhoff, Jonas:
Port maps of Irreversible Port Hamiltonian Systems
#!ilm_mods_00009258!#
In: IFAC-PapersOnLine, vol. 56 (2023), no. 2, pp. 6796–6800
[22. IFAC World Congress (Yokohama, 09.-14.07.2023)]
DOI: https://doi.org/10.1016/j.ifacol.2023.10.388
Goor, Pieter van; Mahony, Robert; Schaller, Manuel; Worthmann, Karl:
Reprojection methods for Koopman-based modelling and prediction
#!ilm_mods_00010433!#
In: CDC 2023 Singapore: 13-15 Dec. 2023 (ISBN 979-8-3503-0125-0), (2023), pp. 315–321
DOI: https://doi.org/10.1109/CDC49753.2023.10383796
Braun, Philipp; Grüne, Lars; Kellett, Christopher M.; Worthmann, Karl:
Model predictive control and distributed optimization in smart grid applications
#!ilm_mods_00021917!#
In: Handbook of smart energy systems. - Cham : Springer, 2023, pp. 1239–1263
DOI: https://doi.org/10.1007/978-3-030-97940-9_163
Aschenbruck, Tim; Dickert, Jörg; Esterhuizen, Willem; Filipecki, Bartosz; Grundel, Sara [et al.]:
Hierarchical power systems: optimal operation using grid flexibilities
#!ilm_mods_00006059!#
Cham : Springer, 2023. - ISBN 978-3-031-25698-1
(SpringerBriefs in Energy)
DOI: https://doi.org/10.1007/978-3-031-25699-8
Sauerteig, Philipp; Hoffmann, Matthias K.; Mühlenhoff, Julian; Miccoli, Giovanni; Keiner, Dörthe [et al.]:
Optimal path planning for stereotactic neurosurgery based on an elastostatic cannula model
#!ilm_mods_00001312!#
In: IFAC-PapersOnLine, vol. 55 (2022), no. 20, pp. 600–605
[10. Vienna International Conference on Mathematical Modelling (MATHMOD) (Vienna, 27.-29.07.2022)]
DOI: https://doi.org/10.1016/j.ifacol.2022.09.161
Kirchhoff, Jonas:
Linear port-Hamiltonian systems are generically controllable
#!ilm_mods_00001452!#
In: IEEE transactions on automatic control, vol. 67 (2022), no. 6, pp. 3220–3222
DOI: https://doi.org/10.1109/TAC.2021.3098176
Faulwasser, Timm; Flaßkamp, Kathrin; Ober-Blöbaum, Sina; Schaller, Manuel; Worthmann, Karl:
Manifold turnpikes, trims, and symmetries
#!ilm_mods_00001454!#
In: Mathematics of control, signals, and systems: MCSS, vol. 34 (2022), no. 4, pp. 759–788
DOI: https://doi.org/10.1007/s00498-022-00321-6
Grüne, Lars; Philipp, Friedrich; Schaller, Manuel:
Strict dissipativity for generalized linear-quadratic problems in infinite dimensions
#!ilm_mods_00001725!#
In: IFAC-PapersOnLine, vol. 55 (2022), no. 30, pp. 311–316
[25. International Symposium on Mathematical Theory of Networks and Systems (MTNS) (Bayreuth, 12.-16.09.2022)]
DOI: https://doi.org/10.1016/j.ifacol.2022.11.071
Schmitz, Philipp; Engelmann, Alexander; Faulwasser, Timm; Worthmann, Karl:
Data-driven MPC of descriptor systems: a case study for power networks
#!ilm_mods_00001726!#
In: IFAC-PapersOnLine, vol. 55 (2022), no. 30, pp. 359–364
[25. International Symposium on Mathematical Theory of Networks and Systems (MTNS) (Bayreuth, 12.-16.09.2022)]
DOI: https://doi.org/10.1016/j.ifacol.2022.11.079
Maschke, Bernhard; Philipp, Friedrich; Schaller, Manuel; Worthmann, Karl; Faulwasser, Timm:
Optimal control of thermodynamic port-Hamiltonian systems
#!ilm_mods_00001727!#
In: IFAC-PapersOnLine, vol. 55 (2022), no. 30, pp. 55–60
[25. International Symposium on Mathematical Theory of Networks and Systems (MTNS) (Bayreuth, 12.-16.09.2022)]
DOI: https://doi.org/10.1016/j.ifacol.2022.11.028
Schaller, Manuel; Wilson, Mitsuru; Kleyman, Viktoria; Mordmüller, Mario; Brinkmann, Ralf; Müller, Matthias A.; Worthmann, Karl:
Parameter estimation and model reduction for model predictive control in retinal laser treatment
#!ilm_mods_00000697!#
In: Control engineering practice: a journal of IFAC, the International Federation of Automatic Control, vol. 128 (2022), art. 105320
DOI: https://doi.org/10.1016/j.conengprac.2022.105320
Mühlenhoff, Julian; Körbner, Thorben; Miccoli, Giovanni; Keiner, Dörthe; Hoffmann, Matthias K. [et al.]:
A manually actuated continuum robot research platform for deployable shape-memory curved cannulae in stereotactic neurosurgery
#!ilm_mods_00001100!#
In: ACTUATOR 2022: 18th International Conference on New Actuator Systems : 29-30 June, 2022, Mannheim, Germany (ISBN 978-3-8007-5894-4), (2022), pp. 10–13
URL: https://ieeexplore.ieee.org/xpl/conhome/9899150/proceeding
Ilchmann, Achim; Witschel, Jonas; Worthmann, Karl:
Model predictive control for singular differential-algebraic equations
#!ilm_mods_00000122!#
In: International journal of control, vol. 95 (2022), no. 8, pp. 2141–2150
DOI: https://doi.org/10.1080/00207179.2021.1900604
Faulwasser, Timm; Maschke, Bernhard; Philipp, Friedrich; Schaller, Manuel; Worthmann, Karl:
Optimal control of port-Hamiltonian descriptor systems with minimal energy supply
#!ilm_mods_00000582!#
In: SIAM journal on control and optimization, vol. 60 (2022), no. 4, pp. 2132–2158
DOI: https://doi.org/10.1137/21M1427723
Grundel, Sara; Heyder, Stefan; Hotz, Thomas; Ritschel, Tobias K.S.; Sauerteig, Philipp; Worthmann, Karl:
How much testing and social distancing is required to control COVID-19?: some insight based on an age-differentiated compartmental model
#!ilm_mods_00000592!#
In: SIAM journal on control and optimization, vol. 60 (2022), no. 2, pp. S145–S169
DOI: https://doi.org/10.1137/20M1377783
Sauerteig, Philipp; Esterhuizen, Willem Daniel; Wilson, Mitsuru; Ritschel, Tobias K.S.; Worthmann, Karl; Streif, Stefan:
Model predictive control tailored to epidemic models
#!ilm_mods_00000544!#
In: 2022 European Control Conference (ECC): 12-15 July 2022 (ISBN 978-1-6654-9733-6), (2022), pp. 743–748
DOI: https://doi.org/10.23919/ECC55457.2022.9838589
Öztürk, Emrah; Rheinberger, Klaus; Faulwasser, Timm; Worthmann, Karl; Preißinger, Markus:
Aggregation of demand-side flexibilities: a comparative study of approximation algorithms
#!ilm_mods_00001031!#
In: Energies: open-access journal of related scientific research, technology development and studies in policy and management, vol. 15 (2022), no. 7, art. 2501
DOI: https://doi.org/10.3390/en15072501
Schaller, Manuel; Kleyman, Viktoria; Mordmüller, Mario; Schmidt, Christian; Wilson, Mitsuru; Brinkmann, Ralf; Müller, Matthias A.; Worthmann, Karl:
Model predictive control for retinal laser treatment at 1 kHz
#!ilm_mods_00001552!#
In: Automatisierungstechnik: AT, vol. 70 (2022), no. 11, pp. 992–1002
DOI: https://doi.org/10.1515/auto-2022-0030
Berger, Thomas; Dennstädt, Dario; Ilchmann, Achim; Worthmann, Karl:
Funnel model predictive control for nonlinear systems with relative degree one
#!ilm_mods_00001804!#
In: SIAM journal on control and optimization, vol. 60 (2022), no. 6, pp. 3358–3383
DOI: https://doi.org/10.1137/21M1431655
Babovsky, Hans; Bold, Lea:
Balanced states and closure relations: the fluid dynamic limit of kinetic models
#!ilm_mods_00002540!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M22/03 (2022)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2022200188
Schmitz, Philipp; Faulwasser, Timm; Worthmann, Karl:
Willems’ fundamental lemma for linear descriptor systems and its use for data-driven output-feedback MPC
#!ilm_mods_00003161!#
In: IEEE control systems letters, vol. 6 (2022), pp. 2443–2448
DOI: https://doi.org/10.1109/LCSYS.2022.3161054
Grüne, Lars; Schaller, Manuel; Schiela, Anton:
Efficient model predictive control for parabolic PDEs with goal oriented error estimation
#!ilm_mods_00003163!#
In: SIAM journal on scientific computing, vol. 44 (2022), no. 1, pp. A471–A500
DOI: https://doi.org/10.1137/20M1356324
Berger, Thomas; Dennstädt, Dario:
Funnel MPC with feasibility constraints for nonlinear systems with arbitrary relative degree
#!ilm_mods_00003337!#
In: IEEE control systems letters, vol. 6 (2022), pp. 2804–2809
DOI: https://doi.org/10.1109/LCSYS.2022.3178478
Worthmann, Karl; Hotz, Thomas:
Verbund: 05M2018 - KONSENS: Schlussbericht : Förderzeitraum: 01.01.2018-30.06.2021
#!ilm_mods_00009001!#
Ilmenau : Technische Universität Ilmenau, 2022
DOI: https://doi.org/10.2314/KXP:1870887948
Philipp, Friedrich; Reis, Timo; Schaller, Manuel:
Port-Hamiltonian system nodes
#!ilm_mods_00010035!#
In: Extended abstracts presented at the 25th International Symposium on Mathematical Theory of Networks and Systems MTNS 2022: held 12-16 September 2022 in Bayreuth, Germany, (2022), pp. 441–444
DOI: https://doi.org/10.15495/EPub_UBT_00006809
Dennstädt, Dario:
Towards Funnel MPC for nonlinear systems with relative degree two
#!ilm_mods_00010033!#
In: Extended abstracts presented at the 25th International Symposium on Mathematical Theory of Networks and Systems MTNS 2022: held 12-16 September 2022 in Bayreuth, Germany, (2022), pp. 656–659
DOI: https://doi.org/10.15495/EPub_UBT_00006809
Schaller, Manuel; Worthmann, Karl; Philipp, Friedrich; Peitz, Sebastian; Nüske, Feliks:
A note on efficient and reliable prediction-based control in the Koopman framework
#!ilm_mods_00010034!#
In: Extended abstracts presented at the 25th International Symposium on Mathematical Theory of Networks and Systems MTNS 2022: held 12-16 September 2022 in Bayreuth, Germany, (2022), pp. 584–587
DOI: https://doi.org/10.15495/EPub_UBT_00006809
Baumann, Michael; Grüne, Lars; Jacob, Birgit; Worthmann, Karl (eds.):
Extended abstracts presented at the 25th International Symposium on Mathematical Theory of Networks and Systems MTNS 2022: held 12-16 September 2022 in Bayreuth, Germany
#!ilm_mods_00010032!#
Bayreuth : Universität Bayreuth, 2022
[25. International Symposium on Mathematical Theory of Networks and Systems (Bayreuth, 12.-16.09.2022), 25. MTNS (Bayreuth, 12.-16.09.2022)]
DOI: https://doi.org/10.15495/EPub_UBT_00006809
Sauerteig, Philipp; Worthmann, Karl; Chudej, Kurt:
Towards model predictive control for maintaining a hard infection cap during an outbreak of dengue fever
#!ilm_mods_00055408!#
In: MATHMOD 2022 discussion contribution volume: discussion contributions of 10th Vienna Conference on Mathematical Modelling, Vienna, Austria, July 27–29, 2022, TU Wien (ISBN 978-3-901608-95-7), (2022), pp. 99–100
DOI: https://doi.org/10.11128/arep.17.a17221
Mordmüller, Mario; Kleyman, Viktoria; Schaller, Manuel; Wilson, Mitsuru; Worthmann, Karl; Müller, Matthias A.; Brinkmann, Ralf:
Towards model-based control techniques for retinal laser treatment using only one laser
#!ilm_mods_00000393!#
In: Opto-Acoustic Methods and Applications in Biophotonics V: 20-24 June 2021, online only, Germany (ISBN 978-1-5106-4712-1), (2021), art. 1192305
[Opto-Acoustic Methods and Applications in Biophotonics ; (Online) : 2021.06.20-24, European Conferences on Biomedical Optics (ECBO) ; (Online) : 2021.06.20-24]
DOI: https://doi.org/10.1117/12.2615851
Jiang, Yuning; Sauerteig, Philipp; Houska, Boris; Worthmann, Karl:
Distributed optimization using ALADIN for MPC in smart grids
#!ilm_mods_00002289!#
In: IEEE transactions on control systems technology: a publication of the IEEE Control Systems Society, vol. 29 (2021), no. 5, pp. 2142–2152
DOI: https://doi.org/10.1109/TCST.2020.3033010
Mordmüller, Mario; Kleyman, Viktoria; Schaller, Manuel; Wilson, Mitsuru; Theisen-Kunde, Dirk; Worthmann, Karl; Müller, Matthias A.; Brinkmann, Ralf:
Towards temperature controlled retinal laser treatment with a single laser at 10 kHz repetition rate
#!ilm_mods_00000233!#
In: Advanced optical technologies, vol. 10 (2021), no. 6, pp. 423–431
DOI: https://doi.org/10.1515/aot-2021-0041
Kleyman, Viktoria; Schaller, Manuel; Wilson, Mitsuru; Mordmüller, Mario; Brinkmann, Ralf; Worthmann, Karl; Müller, Matthias A.:
Towards model-based temperature-control for retinal laser therapies
#!ilm_mods_00008899!#
In: Zenodo: research shared, (2021)
[15. Interdisciplinary Symposium Automation in Medical Engineering (AUTOMED) (Online, 08.-09.06.2021)]
DOI: https://doi.org/10.5281/zenodo.4925803
Grüne, Lars; Muff, David; Schaller, Manuel:
Conditions for strict dissipativity of infinite-dimensional generalized linear-quadratic problems
#!ilm_mods_00008835!#
In: IFAC-PapersOnLine, vol. 54 (2021), no. 19, pp. 302–306
[7. IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control (LHMNC) (Berlin, 11.-13.10.2021)]
DOI: https://doi.org/10.1016/j.ifacol.2021.11.094
Kleyman, Viktoria; Schaller, Manuel; Wilson, Mitsuru; Mordmüller, Mario; Brinkmann, Ralf; Worthmann, Karl; Müller, Matthias A.:
State and parameter estimation for model-based retinal laser treatment
#!ilm_mods_00008834!#
In: IFAC-PapersOnLine, vol. 54 (2021), no. 6, pp. 244–250
[7. IFAC Conference on Nonlinear Model Predictive Control (NMPC) (Bratislava, 11.-14.07.2021)]
DOI: https://doi.org/10.1016/j.ifacol.2021.08.552
Philipp, Friedrich; Schaller, Manuel; Faulwasser, Timm; Maschke, Bernhard; Worthmann, Karl:
Minimizing the energy supply of infinite-dimensional linear port-Hamiltonian systems
#!ilm_mods_00008833!#
In: IFAC-PapersOnLine, vol. 54 (2021), no. 19, pp. 155–160
[7. IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control (LHMNC) (Berlin, 11.-13.10.2021)]
DOI: https://doi.org/10.1016/j.ifacol.2021.11.071
Faulwasser, Timm; Flaßkamp, Kathrin; Ober-Blöbaum, Sina; Worthmann, Karl:
A dissipativity characterization of velocity turnpikes in optimal control problems for mechanical systems
#!ilm_mods_00008836!#
In: IFAC-PapersOnLine, vol. 54 (2021), no. 9, pp. 624–629
[24. International Symposium on Mathematical Theory of Networks and Systems (MTNS) (Cambridge, 2020)]
DOI: https://doi.org/10.1016/j.ifacol.2021.06.125
Rußwurm, Franz; Esterhuizen, Willem Daniel; Worthmann, Karl; Streif, Stefan:
On MPC without terminal conditions for dynamic non-holonomic robots
#!ilm_mods_00008840!#
In: IFAC-PapersOnLine, vol. 54 (2021), no. 6, pp. 133–138
[7. IFAC Conference on Nonlinear Model Predictive Control (NMPC) (Bratislava, 11.-14.07.2021)]
DOI: https://doi.org/10.1016/j.ifacol.2021.08.535
Schaller, Manuel; Philipp, Friedrich; Faulwasser, Timm; Worthmann, Karl; Maschke, Bernhard:
Control of port-Hamiltonian systems with minimal energy supply
#!ilm_mods_00007175!#
In: European journal of control, vol. 62 (2021), pp. 33–40
DOI: https://doi.org/10.1016/j.ejcon.2021.06.017
Hackenberg, Annika; Worthmann, Karl; Pätz, Torben; Keiner, Dörthe; Oertel, Joachim; Flaßkamp, Kathrin:
Neurosurgery planning based on automated image recognition and optimal path design
#!ilm_mods_00001554!#
In: Automatisierungstechnik: AT, vol. 69 (2021), no. 8, pp. 708–721
DOI: https://doi.org/10.1515/auto-2021-0044
Faulwasser, Timm; Mehrez, Mohamed; Worthmann, Karl:
Predictive path following control without terminal constraints
#!ilm_mods_00003914!#
In: Recent advances in model predictive control: theory, algorithms, and applications. - Cham, Switzerland : Springer, 2021, pp. 1–26
DOI: https://doi.org/10.1007/978-3-030-63281-6_1
Aschenbruck, Tim; Baumann, Manuel; Esterhuizen, Willem Daniel; Filipecki, Bartosz; Grundel, Sara [et al.]:
Optimization and stabilization of hierarchical electrical networks
#!ilm_mods_00003924!#
In: Mathematical modeling, simulation and optimization for power engineering and management (ISBN 978-3-030-62731-7), (2021), pp. 171–198
DOI: https://doi.org/10.1007/978-3-030-62732-4_8
Sauerteig, Philipp; Baumann, Manuel; Dickert, Jörg; Grundel, Sara; Worthmann, Karl:
Reducing transmission losses via reactive power control
#!ilm_mods_00003923!#
In: Mathematical modeling, simulation and optimization for power engineering and management (ISBN 978-3-030-62731-7), (2021), pp. 219–232
DOI: https://doi.org/10.1007/978-3-030-62732-4_10
Faulwasser, Timm; Müller, Matthias A.; Worthmann, Karl (eds.):
Recent advances in model predictive control: theory, algorithms, and applications
#!ilm_mods_00003896!#
Cham, Switzerland : Springer, 2021. - ISBN 978-3-030-63280-9
(Lecture notes in control and information sciences: LNCIS ; 485)
DOI: https://doi.org/10.1007/978-3-030-63281-6
Grundel, Sara; Heyder, Stefan; Hotz, Thomas; Ritschel, Tobias K.S.; Sauerteig, Philipp; Worthmann, Karl:
How to coordinate vaccination and social distancing to mitigate SARS-CoV-2 outbreaks
#!ilm_mods_00007960!#
In: SIAM journal on applied dynamical systems, vol. 20 (2021), no. 2, pp. 1135–1157
DOI: https://doi.org/10.1137/20M1387687
Grüne, Lars; Schaller, Manuel; Schiela, Anton:
Abstract nonlinear sensitivity and turnpike analysis and an application to semilinear parabolic PDEs
#!ilm_mods_00008081!#
In: Control, optimisation and calculus of variations: COCV, vol. 27 (2021), art. 56
DOI: https://doi.org/10.1051/cocv/2021030
Esterhuizen, Willem; Worthmann, Karl; Streif, Stefan:
Recursive feasibility of continuous-time model predictive control without stabilising constraints
#!ilm_mods_00008965!#
In: IEEE control systems letters, vol. 5 (2021), no. 1, pp. 265–270
DOI: https://doi.org/10.1109/LCSYS.2020.3001514
Faulwasser, Timm; Grüne, Lars; Humaloja, Jukka-Pekka; Schaller, Manuel:
Inferring the adjoint turnpike property from the primal turnpike property
#!ilm_mods_00008852!#
In: 60th IEEE Conference on Decision and Control: CDC 2021, Fairmont Hotel, Austin, Texas, USA, December 13-17, 2021 (ISBN 978-1-6654-3659-5), (2021), pp. 2578–2583
DOI: https://doi.org/10.1109/CDC45484.2021.9683079
Mehrez, Mohamed W.; Worthmann, Karl; Cenerini, Joseph P.V.; Osman, Mostafa; Melek, William W.; Jeon, Soo:
Model predictive control without terminal constraints or costs for holonomic mobile robots
#!ilm_mods_00012144!#
In: Robotics and autonomous systems: international journal, vol. 127 (2020), art. 103468
DOI: https://doi.org/10.1016/j.robot.2020.103468
Braun, Philipp; Grüne, Lars; Kellett, Christopher M.; Weller, Steven R.; Worthmann, Karl:
Towards price-based predictive control of a small-scale electricity network
#!ilm_mods_00000124!#
In: International journal of control, vol. 93 (2020), no. 1, pp. 40–61
DOI: https://doi.org/10.1080/00207179.2017.1339329
Coron, Jean-Michel; Grüne, Lars; Worthmann, Karl:
Model predictive control, cost controllability, and homogeneity
#!ilm_mods_00000593!#
In: SIAM journal on control and optimization, vol. 58 (2020), no. 5, pp. 2979–2996
DOI: https://doi.org/10.1137/19M1265995
Sauerteig, Philipp; Worthmann, Karl:
Towards multiobjective optimization and control of smart grids
#!ilm_mods_00009173!#
In: Optimal control, applications and methods, vol. 41 (2020), no. 1, pp. 128–145
DOI: https://doi.org/10.1002/oca.2532
Sauerteig, Philipp; Jiang, Yuning; Houska, Boris; Worthmann, Karl:
Distributed control enforcing group sparsity in smart grids
#!ilm_mods_00009767!#
In: IFAC-PapersOnLine, vol. 53 (2020), no. 2, pp. 13269–13274
[21. IFAC World Congress (Berlin, 12.-17.07.2020)]
DOI: https://doi.org/10.1016/j.ifacol.2020.12.156
Berger, Thomas; Kästner, Carolin; Worthmann, Karl:
Learning-based funnel-MPC for output-constrained nonlinear systems
#!ilm_mods_00009772!#
In: IFAC-PapersOnLine, vol. 53 (2020), no. 2, pp. 5177–5182
[21. IFAC World Congress (Berlin, 12.-17.07.2020)]
DOI: https://doi.org/10.1016/j.ifacol.2020.12.1186
Kleyman, Viktoria; Abbas, Hossam S.; Brinkmann, Ralf; Worthmann, Karl; Müller, Matthias A.:
Modelling of heat diffusion for temperature-controlled retinal photocoagulation
#!ilm_mods_00010085!#
In: Proceedings on automation in medical engineering, vol. 1 (2020), no. 1, art. 6
[Symposium on Automation in Medical Engineering (AUTOMED) (Lübeck, 02.-03.03.2020)]
DOI: https://doi.org/10.18416/AUTOMED.2020
Kleyman, Viktoria; Gernandt, Hannes; Worthmann, Karl; Abbas, Hossam S.; Brinkmann, Ralf; Müller, Matthias A.:
Modeling and parameter identification for real-time temperature controlled retinal laser therapies
#!ilm_mods_00010759!#
In: Automatisierungstechnik: AT, vol. 68 (2020), no. 11, pp. 953–966
DOI: https://doi.org/10.1515/auto-2020-0074
Faulwasser, Timm; Göttlich, Simone; Worthmann, Karl:
Mathematical innovations fostering the energy transition - control and optimization
#!ilm_mods_00010760!#
In: Automatisierungstechnik: AT, vol. 68 (2020), no. 12, pp. 982–984
DOI: https://doi.org/10.1515/auto-2020-0152
Ilchmann, Achim; Leben, Leslie; Witschel, Jonas; Worthmann, Karl:
Optimal control of differential-algebraic equations from an ordinary differential equation perspective
#!ilm_mods_00012896!#
In: Optimal control, applications and methods, vol. 40 (2019), no. 2, pp. 351–366
DOI: https://doi.org/10.1002/oca.2481
Baumann, Manuel; Grundel, Sara; Sauerteig, Philipp; Worthmann, Karl:
Surrogate models in bidirectional optimization of coupled microgrids
#!ilm_mods_00011917!#
In: Automatisierungstechnik: AT, vol. 67 (2019), no. 12, pp. 1035–1046
DOI: https://doi.org/10.1515/auto-2019-0075
Flaßkamp, Kathrin; Ober-Blöbaum, Sina; Worthmann, Karl:
Symmetry and motion primitives in model predictive control
#!ilm_mods_00011925!#
In: Mathematics of control, signals, and systems: MCSS, vol. 31 (2019), no. 4, pp. 455–485
DOI: https://doi.org/10.1007/s00498-019-00246-7
Braun, Philipp; Sauerteig, Philipp; Worthmann, Karl:
Distributed optimization based control on the example of microgrids
#!ilm_mods_00011964!#
In: Computational intelligence and optimization methods for control engineering. - Cham : Springer, 2019, pp. 173–200
DOI: https://doi.org/10.1007/978-3-030-25446-9_8
Flaßkamp, Kathrin; Worthmann, Karl; Mühlenhoff, Julian; Greiner-Petter, Christoph; Büskens, Christof; Oertel, Joachim; Keiner, Dörthe; Sattel, Thomas:
Towards optimal control of concentric tube robots in stereotactic neurosurgery
#!ilm_mods_00011808!#
In: Mathematical and computer modelling of dynamical systems : MCMDS, vol. 25 (2019), no. 6, pp. 560–574
DOI: https://doi.org/10.1080/13873954.2019.1690004
Grundel, Sara; Sauerteig, Philipp; Worthmann, Karl:
Surrogate models for coupled microgrids
#!ilm_mods_00016932!#
In: Progress in industrial mathematics at ECMI 2018 (ISBN 978-3-030-27550-1), (2019), pp. 477–483
DOI: https://doi.org/10.1007/978-3-030-27550-1_60
Faulwasser, Timm; Flaßkamp, Kathrin; Ober-Blöbaum, Sina; Worthmann, Karl:
Towards velocity turnpikes in optimal control of mechanical systems
#!ilm_mods_00016057!#
In: IFAC-PapersOnLine, vol. 52 (2019), no. 16, pp. 490–495
[11. IFAC Symposium on Nonlinear Control Systems (NOLCOS) (Vienna, 04.-06.09.2019)]
DOI: https://doi.org/10.1016/j.ifacol.2019.12.009
Sprodowski, Tobias; Mehrez, Mohamed W.; Worthmann, Karl; Mann, George K.I.; Gosine, Raymond G.; Sagawa, Juliana K.; Pannek, Jürgen:
Differential communication with distributed MPC based on occupancy grid
#!ilm_mods_00013955!#
In: Information sciences: an international journal, vol. 453 (2018), pp. 426–441
DOI: https://doi.org/10.1016/j.ins.2018.04.034
Flaßkamp, Kathrin; Worthmann, Karl; Greiner-Petter, Christoph; Büskens, Christof; Sattel, Thomas:
An optimal control problem for stereotactic neurosurgery
#!ilm_mods_00016500!#
In: MATHMOD 2018 extended abstract volume: extended abstracts of 9th Vienna Conference on Mathematical Modelling, Vienna, Austria, February 21-23, 2018 (ISBN 978-3-901608-91-9), (2018), pp. 67–68
DOI: https://doi.org/10.11128/arep.55.a55246
Kurz, Sascha; Stoll, Michael; Worthmann, Karl:
Angewandte Mathematik: Ein Lehrbuch für Lehramtsstudierende
#!ilm_mods_00017239!#
Berlin, Heidelberg : Springer Spektrum, 2018. - ISBN 978-3-662-56705-0
DOI: https://doi.org/10.1007/978-3-662-56705-0
Schulze Darup, Moritz; Worthmann, Karl:
Tailored MPC for mobile robots with very short prediction horizons
#!ilm_mods_00019112!#
In: 2018 European Control Conference (ECC): 12-15 June 2018 (ISBN 978-1-5386-5303-6), (2018), pp. 1361–1366
DOI: https://doi.org/10.23919/ECC.2018.8550514
Ilchmann, Achim; Witschel, Jonas; Worthmann, Karl:
Model predictive control for linear DAEs without terminal constraints and costs
#!ilm_mods_00017820!#
In: IFAC-PapersOnLine, vol. 51 (2018), no. 20, pp. 116–121
[6. IFAC Conference on Nonlinear Model Predictive Control (NMPC) (Madison, Wisc., 19.-22.08.2018)]
DOI: https://doi.org/10.1016/j.ifacol.2018.11.002
Ilchmann, Achim; Witschel, Jonas; Worthmann, Karl:
Model predictive control for linear differential-algebraic equations
#!ilm_mods_00017823!#
In: IFAC-PapersOnLine, vol. 51 (2018), no. 20, pp. 98–103
[6. IFAC Conference on Nonlinear Model Predictive Control (NMPC) (Madison, Wisc., 19.-22.08.2018)]
DOI: https://doi.org/10.1016/j.ifacol.2018.10.181
Braun, Philipp; Faulwasser, Timm; Grüne, Lars; Kellett, Christopher M.; Weller, Steven R.; Worthmann, Karl:
Hierarchical distributed ADMM for predictive control with applications in power networks
#!ilm_mods_00013522!#
In: IFAC journal of systems and control, vol. 3 (2018), pp. 10–22
DOI: https://doi.org/10.1016/j.ifacsc.2018.01.001
Proch, Michael; Worthmann, Karl; Schlüchtermann, Jörg:
A negotiation-based algorithm to coordinate supplier development in decentralized supply chains
#!ilm_mods_00000850!#
In: European journal of operational research: EJOR, vol. 256 (2017), no. 2, pp. 412–429
DOI: https://doi.org/10.1016/j.ejor.2016.06.029
Mehrez, Mohamed W.; Sprodowski, Tobias; Worthmann, Karl; Mann, George K.I.; Gosine, Raymond G.; Sagawa, Juliana K.; Pannek, Jürgen:
Occupancy grid based distributed MPC for mobile robots
#!ilm_mods_00033229!#
In: IROS Vancouver 2017: IEEE/RSJ International Conference on Intelligent Robots and Systems, Vancouver, BC, Canada September 24-28, 2017 : conference digest (ISBN 978-1-5386-2681-8), (2017), pp. 4842–4847
DOI: https://doi.org/10.1109/IROS.2017.8206360
Worthmann, Karl; Mehrez, Mohamed W.; Mann, George K.I.; Gosine, Raymond G.; Pannek, Jürgen:
Interaction of open and closed loop control in MPC
#!ilm_mods_00024427!#
In: Automatica: a journal of IFAC, the International Federation of Automatic Control, vol. 82 (2017), pp. 243–250
DOI: https://doi.org/10.1016/j.automatica.2017.04.038
Müller, Matthias A.; Worthmann, Karl:
Quadratic costs do not always work in MPC
#!ilm_mods_00024428!#
In: Automatica: a journal of IFAC, the International Federation of Automatic Control, vol. 82 (2017), pp. 269–277
DOI: https://doi.org/10.1016/j.automatica.2017.04.058
Bergmann, Jean Pierre; Bielenin, Martin; Herzog, Roland A.; Hildebrand, Jörg; Riedel, Ilka; Schricker, Klaus; Trunk, Carsten; Worthmann, Karl:
Prevention of solidification cracking during pulsed laser beam welding
#!ilm_mods_00025904!#
In: Proceedings in applied mathematics and mechanics: PAMM, vol. 17 (2017), no. 1, pp. 405–406
[88. Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) (Weimar, 06.-10.03.2017)]
DOI: https://doi.org/10.1002/pamm.201710172
Müller, Matthias A.; Worthmann, Karl:
On quadratic stage costs for mobile robots in model predictive control
#!ilm_mods_00025898!#
In: Proceedings in applied mathematics and mechanics: PAMM, vol. 17 (2017), no. 1, pp. 825–826
[88. Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) (Weimar, 06.-10.03.2017)]
DOI: https://doi.org/10.1002/pamm.201710380
Ioan, Daniel-Mihail; Stoican, Florin; Worthmann, Karl:
Active fault detection and isolation in a zonotopic framework
#!ilm_mods_00035256!#
In: 2017 21st International Conference on System Theory, Control and Computing (ICSTCC): October 19-21, 2017, Sinaia, Romania : proceedings (ISBN 978-1-5386-3841-5), (2017), pp. 595–600
DOI: https://doi.org/10.1109/ICSTCC.2017.8107100
Mehrez, Mohamed W.; Worthmann, Karl; Mann, George K.I.; Gosine, Raymond G.; Pannek, Jürgen:
Experimental speedup and stability validation for multi-step MPC
#!ilm_mods_00035250!#
In: IFAC-PapersOnLine, vol. 50 (2017), no. 1, pp. 8698–8703
[20. IFAC World Congress (Toulouse, 09.-14.07.2017)]
DOI: https://doi.org/10.1016/j.ifacol.2017.08.1551
Mehrez, Mohamed W.; Worthmann, Karl; Mann, George K.I.; Gosine, Raymond G.; Faulwasser, Timm:
Predictive path following of mobile robots without terminal stabilizing constraints
#!ilm_mods_00035251!#
In: IFAC-PapersOnLine, vol. 50 (2017), no. 1, pp. 9852–9857
[20. IFAC World Congress (Toulouse, 09.-14.07.2017)]
DOI: https://doi.org/10.1016/j.ifacol.2017.08.907
Bergmann, Jean Pierre; Bielenin, Martin; Herzog, Roland A.; Hildebrand, Jörg; Riedel, Ilka; Schricker, Klaus; Trunk, Carsten; Worthmann, Karl:
Prevention of solidification cracking during pulsed laser beam welding
#!ilm_mods_00021187!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M17,09 (2017)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2017200422
Braun, Philipp; Grüne, Lars; Kellett, Christopher M.; Weller, Steven R.; Worthmann, Karl:
Model predictive control of residential energy systems using energy storage and controllable loads
#!ilm_mods_00015987!#
In: Progress in Industrial Mathematics at ECMI 2014 (ISBN 978-3-319-23412-0), (2016), pp. 617–623
DOI: https://doi.org/10.1007/978-3-319-23413-7_85
Worthmann, Karl; Braun, Philipp; Proch, Michael; Schlüchtermann, Jörg; Pannek, Jürgen:
On contractual periods in supplier development
#!ilm_mods_00030437!#
In: IFAC-PapersOnLine, vol. 49 (2016), no. 2, pp. 60–65
[7. IFAC Conference on Management and Control of Production and Logistics (MCPL) (Bremen, 22.-24.02.2016)]
DOI: https://doi.org/10.1016/j.ifacol.2016.03.011
Braun, Philipp; Faulwasser, Timm; Grüne, Lars; Kellett, Christopher M.; Weller, Steven R.; Worthmann, Karl:
Maximal islanding time for microgrids via distributed predictive control
#!ilm_mods_00031483!#
In: 22nd International Symposium on Mathematical Theory of Networks and Systems: July 12-15, 2016, University of Minnesota, Twin Cities Campus (ISBN 978-1-5323-1358-5), (2016), pp. 652–659
Worthmann, Karl; Mehrez, Mohamed W.; Zanon, Mario; Mann, George K.I.; Gosine, Raymond G.; Diehl, Moritz:
Model predictive control of nonholonomic mobile robots without stabilizing constraints and costs
#!ilm_mods_00029476!#
In: IEEE transactions on control systems technology: a publication of the IEEE Control Systems Society, vol. 24 (2016), no. 4, pp. 1394–1406
DOI: https://doi.org/10.1109/TCST.2015.2488589
Braun, Philipp; Grüne, Lars; Kellett, Christopher M.; Weller, Steven R.; Worthmann, Karl:
A distributed optimization algorithm for the predictive control of smart grids
#!ilm_mods_00029486!#
In: IEEE transactions on automatic control, vol. 61 (2016), no. 12, pp. 3898–3911
DOI: https://doi.org/10.1109/TAC.2016.2525808
Worthmann, Karl; Proch, Michael; Braun, Philipp; Schlüchtermann, Jörg; Pannek, Jürgen:
Towards dynamic contract extension in supplier development
#!ilm_mods_00029606!#
In: Logistics research, vol. 9 (2016), no. 1
DOI: https://doi.org/10.1007/s12159-016-0141-z
Worthmann, Karl; Mehrez, Mohamed W.; Zanon, Mario; Mann, George K.I.; Gosine, Raymond G.; Diehl, Moritz:
Regulation of differential drive robots using continuous time MPC without stabilizing constraints or costs
#!ilm_mods_00031611!#
In: IFAC-PapersOnLine, vol. 48 (2015), no. 23, pp. 129–135
[5. IFAC Conference on Nonlinear Model Predictive Control (NMPC) (Seville, 17.-20.09.2015)]
DOI: https://doi.org/10.1016/j.ifacol.2015.11.272
Braun, Philipp; Grüne, Lars; Kellett, Christopher M.; Weller, Steven R.; Worthmann, Karl:
A real-time pricing scheme for residential energy systems using a market maker
#!ilm_mods_00032104!#
In: Proceedings of 2015 Australian Control Conference (AUCC 2015): Gold Coast, Australia, 05-06 November 2015, (2015), pp. 259–262
URL: http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=7361944
Braun, Philipp; Grüne, Lars; Kellett, Christopher M.; Weller, Steven R.; Worthmann, Karl:
Predictive control of a smart grid: a distributed optimization algorithm with centralized performance properties
#!ilm_mods_00032103!#
In: 2015 54th IEEE Conference on Decision and Control (CDC): date: 15-18 Dec. 2015, (2015), pp. 5593–5598
DOI: https://doi.org/10.1109/CDC.2015.7403096
Worthmann, Karl; Reble, Marcus; Grüne, Lars; Allgöwer, Frank:
Unconstrained nonlinear MPC: performance estimates for sampled-data systems with zero order hold
#!ilm_mods_00032107!#
In: 2015 54th IEEE Conference on Decision and Control (CDC): date: 15-18 Dec. 2015, (2015), pp. 4971–4976
DOI: https://doi.org/10.1109/CDC.2015.7402996
Worthmann, Karl; Kellett, Christopher M.; Braun, Philipp; Grüne, Lars; Weller, Steven R.:
Distributed and decentralized control of residential energy systems incorporating battery storage
#!ilm_mods_00029927!#
In: IEEE transactions on smart grid, vol. 6 (2015), no. 4, pp. 1914–1923
DOI: https://doi.org/10.1109/TSG.2015.2392081
Grüne, Lars; Allgöwer, Frank; Findeisen, Rolf; Fischer, Jörg; Groß, Dominik [et al.]:
Distributed and networked model predictive control
#!ilm_mods_00034690!#
In: Control theory of digitally networked dynamic systems. - 2014, pp. 111–167
Boccia, Andrea; Grüne, Lars; Worthmann, Karl:
Stability and feasibility of state constrained MPC without stabilizing terminal constraints
#!ilm_mods_00030163!#
In: Systems & control letters, vol. 72 (2014), pp. 14–21
DOI: https://doi.org/10.1016/j.sysconle.2014.08.002
Worthmann, Karl; Damm, Tobias; Grüne, Lars; Stieler, Marleen:
An exponential turnpike theorem for dissipative discrete time optimal control problems
#!ilm_mods_00030240!#
In: SIAM journal on control and optimization, vol. 52 (2014), no. 3, pp. 1935–1957
DOI: https://doi.org/10.1137/120888934
Worthmann, Karl; Reble, Marcus; Grüne, Lars; Allgöwer, Frank:
The role of sampling for stability and performance in unconstrained nonlinear model predictive control
#!ilm_mods_00030241!#
In: SIAM journal on control and optimization, vol. 52 (2014), no. 1, pp. 581–605
DOI: https://doi.org/10.1137/12086652X
Pannek, Jürgen; Worthmann, Karl:
Stability and performance guarantees for model predictive control algorithms without terminal constraints
#!ilm_mods_00030326!#
In: ZAMM: journal of applied mathematics and mechanics, vol. 94 (2014), no. 4, pp. 317–330
DOI: https://doi.org/10.1002/zamm.201100133
Boccia, Andrea; Grüne, Lars; Worthmann, Karl:
Stability and feasibility of state-constrained linear MPC without stabilizing terminal constraints
#!ilm_mods_00033460!#
In: MTNS 2014: the 21st International Symposium on Mathematical Theory of Networks and Systems, 7 - 11 July 2014, Groningen, The Netherland ; [proceedings], (2014)
Worthmann, Karl; Kellett, Christopher M.; Grüne, Lars; Weller, Steven R.:
Distributed control of residential energy systems using a market maker
#!ilm_mods_00033250!#
In: IFAC proceedings volumes, vol. 47 (2014), no. 3, pp. 11641–11646
[19. IFAC world congress (Cape Town, 24.-29.08.2014)]
DOI: https://doi.org/10.3182/20140824-6-ZA-1003.01785
Worthmann, Karl; Reble, Marcus; Grüne, Lars; Allgöwer, Frank:
Nonlinear MPC: the impact of sampling on closed loop stability
#!ilm_mods_00033272!#
In: Proceedings in applied mathematics and mechanics: PAMM, vol. 14 (2014), no. 1, pp. 911–912
[85. Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) (Erlangen, 10.-14.03.2014)]
DOI: https://doi.org/10.1002/pamm.201410436
Möws, Roland:
On similarity of indefinite Sturm-Liouville operators
#!ilm_mods_00037279!#
In: Proceedings in applied mathematics and mechanics: PAMM, vol. 12 (2012), no. 1, pp. 771–772
[83. Annual meeting of the International Association of Applied Mathematics and Mechanics (Darmstadt, 26.-30.03.2012)]
DOI: https://doi.org/10.1002/pamm.201210374
Kuzhel, Sergii; Trunk, Carsten:
On a class of J-self-adjoint operators with empty resolvent set
#!ilm_mods_00000719!#
In: Journal of mathematical analysis and applications, vol. 379 (2011), no. 1, pp. 272–289
DOI: https://doi.org/10.1016/j.jmaa.2010.12.048
Philipp, Friedrich; Szafraniec, Franciszek Hugon; Trunk, Carsten:
Selfadjoint operators in S-spaces
#!ilm_mods_00038521!#
In: Journal of functional analysis, vol. 260 (2011), no. 4, pp. 1045–1059
DOI: https://doi.org/10.1016/j.jfa.2010.10.023
Philipp, Friedrich; Ran, André C.M.; Wojtylak, Michał:
Local definitizability of T[*]T and TT[*]
#!ilm_mods_00038660!#
In: Integral equations and operator theory: IEOT, vol. 71 (2011), no. 4, pp. 491–508
DOI: https://doi.org/10.1007/s00020-011-1913-0
Hennig, Eckhard; Krauße, Dominik; Schäfer, Eric; Sommer, Ralf; Trunk, Carsten; Winkler, Henrik:
Frequency compensation for a class of DAE’s arising in electrical circuits
#!ilm_mods_00038802!#
In: Proceedings in applied mathematics and mechanics: PAMM, vol. 11 (2011), no. 1, pp. 837–838
[82. Annual meeting of the International Association of Applied Mathematics and Mechanics (Graz, 18.-21.04.2011)]
DOI: https://doi.org/10.1002/pamm.201110407
Behrndt, Jussi; Philipp, Friedrich; Trunk, Carsten:
A perturbation approach to differential operators with indefinite weights
#!ilm_mods_00040107!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M11,08 (2011)
Behrndt, Jussi; Möws, Roland; Trunk, Carsten:
Eigenvalue estimates for singular left-definite Sturm-Liouville operators
#!ilm_mods_00040129!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M11,01 (2011)
Azizov, Tomas Ya.; Trunk, Carsten:
PT symmetric, hermitian and P-self-adjoint operators related to potentials in PT quantum mechanics
#!ilm_mods_00040065!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M11,15 (2011)
Hennig, Eckhard; Krauße, Dominik; Schäfer, Eric; Sommer, Ralf; Trunk, Carsten; Winkler, Henrik:
Frequency compensation for a class of DAE’s arising in electrical circuits
#!ilm_mods_00040089!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M11,11 (2011)
Azizov, Tomas Ya.; Behrndt, Jussi; Jonas, Peter; Trunk, Carsten:
Spectral points of definite type and type π for linear operators and relations in Krein spaces
#!ilm_mods_00038542!#
In: Journal of the London Mathematical Society, vol. 83 (2011), no. 3, pp. 768–788
DOI: https://doi.org/10.1112/jlms/jdq098
Behrndt, Jussi; Möws, Roland; Trunk, Carsten:
Eigenvalue estimates for singular left-definite Sturm-Liouville operators
#!ilm_mods_00038716!#
In: Journal of spectral theory, vol. 1 (2011), no. 3, pp. 327–347
DOI: https://doi.org/10.4171/JST/14
Behrndt, Jussi; Förster, Karl-Heinz; Trunk, Carsten (eds.):
Recent advances in operator theory in Hilbert and Krein spaces: [7th Workshop on Operator Theory in Krein Spaces and Spectral Analysis, which was held at the Technische Universität Berlin, Germany, December 13 to 16, 2007]
#!ilm_mods_00041689!#
Basel : Birkhäuser, 2010. - ISBN 978-3-0346-0179-5
[7. Workshop on Operator Theory in Krein Spaces and Spectral Analysis (Berlin, 13.-16.12.2007)]
(Operator theory: advances and applications ; 198)
URL: https://link.springer.com/bookseries/4850
Trunk, Carsten:
Analyticity of semigroups related to a class of block operator matrices
#!ilm_mods_00042736!#
In: Operator algebras, operator theory and applications: 18th International Workshop on Operator Theory and Applications, Potchefstroom, July 2007 (ISBN 978-3-0346-0174-0), (2010), pp. 257–271
Henn, Mark-Alexander; Mehl, Christian; Trunk, Carsten:
Hyponormal and strongly hyponormal matrices in inner product spaces
#!ilm_mods_00041400!#
In: Linear algebra and its applications: LAA, vol. 433 (2010), no. 6, pp. 1055–1076
DOI: https://doi.org/10.1016/j.laa.2010.04.050
Azizov, Tomas Ya.; Jonas, Peter; Trunk, Carsten:
Small perturbations of selfadjoint and unitary operators in Krein spaces
#!ilm_mods_00041366!#
In: Journal of operator theory, vol. 64 (2010), no. 2, pp. 401–416
URL: https://ezb.ur.de/?2043904-0
Azizov, Tomas Ya.; Trunk, Carsten:
On domains of PT symmetric operators related to -y”(x) + (-1) n x 2n y(x)
#!ilm_mods_00041492!#
In: Journal of physics A: Mathematical and theoretical, vol. 43 (2010), no. 17, art. 175303
DOI: https://doi.org/10.1088/1751-8113/43/17/175303
Behrndt, Jussi; Philipp, Friedrich:
Spectral analysis of singular ordinary differential operators with indefinite weights
#!ilm_mods_00041528!#
In: Journal of differential equations, vol. 248 (2010), no. 8, pp. 2015–2037
DOI: https://doi.org/10.1016/j.jde.2009.11.026
Behrndt, Jussi; Luger, Annemarie; Trunk, Carsten:
On the negative squares of a class of self-adjoint extensions in Krein spaces
#!ilm_mods_00042961!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M10,16 (2010)
Kuzhel, Sergii; Trunk, Carsten:
On a class of J-self-adjoint operators with empty resolvent set
#!ilm_mods_00042954!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M10,11 (2010)
Philipp, Friedrich; Strauss, Vladimir A.; Trunk, Carsten:
Local spectral theory for normal operators in Krein spaces
#!ilm_mods_00042953!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M10,09 (2010)
Trunk, Carsten:
Spectral theory for second order systems and indefinite Sturm-Liouville problems
#!ilm_mods_00042948!#
Ilmenau, 2010
Behrndt, Jussi; Katatbeh, Qutaibeh; Trunk, Carsten:
Non-real eigenvalues of singular indefinite Sturm-Liouville operators
#!ilm_mods_00044211!#
In: Proceedings of the American Mathematical Society, vol. 137 (2009), no. 11, pp. 3797–3806
DOI: https://doi.org/10.1090/S0002-9939-09-09964-X
Behrndt, Jussi; Möws, Roland; Trunk, Carsten:
Singular indefinite Sturm-Liouville operators with a spectral gap
#!ilm_mods_00044867!#
In: Proceedings in applied mathematics and mechanics: PAMM, vol. 9 (2009), no. 1, pp. 669–670
[80. Annual meeting of the International Association of Applied Mathematics and Mechanics (Gdańsk, 09.-13.02.2009)]
DOI: https://doi.org/10.1002/pamm.200910304
Behrndt, Jussi; Philipp, Friedrich; Trunk, Carsten:
Definitizability of a class of J-selfadjoint operators with applications
#!ilm_mods_00044868!#
In: Proceedings in applied mathematics and mechanics: PAMM, vol. 9 (2009), no. 1, pp. 665–666
[80. Annual meeting of the International Association of Applied Mathematics and Mechanics (Gdańsk, 09.-13.02.2009)]
DOI: https://doi.org/10.1002/pamm.200910302
Azizov, Tomas Ya.; Trunk, Carsten:
On domains of PT symmetric operators related to -y”(x) + (-1) n x 2n y(x)
#!ilm_mods_00045672!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M09,30 (2009)
Azizov, Tomas Ya.; Behrndt, Jussi; Jonas, Peter; Trunk, Carsten:
Compact and finite rank perturbations of closed linear operators and relations in Hilbert spaces
#!ilm_mods_00044307!#
In: Integral equations and operator theory: IEOT, vol. 63 (2009), no. 2, pp. 151–163
DOI: https://doi.org/10.1007/s00020-008-1650-1
Philipp, Friedrich; Szafraniec, Franciszek Hugon; Trunk, Carsten:
Selfadjoint operators in S-spaces
#!ilm_mods_00064398!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M10,03 (2009)
Azizov, Tomas Ya.; Behrndt, Jussi; Philipp, Friedrich; Trunk, Carsten:
On domains of powers of linear operators and finite rank perturbations
#!ilm_mods_00044915!#
In: Spectral theory in inner product spaces and applications: 6th Workshop on Operator Theory in Krein Spaces and Operator Polynomials, Berlin, December 2006 (ISBN 978-3-7643-8911-6), (2009), pp. 31–36
Philipp, Friedrich; Trunk, Carsten:
G-self-adjoint operators in Almost Pontryagin spaces
#!ilm_mods_00044916!#
In: Spectral theory in inner product spaces and applications: 6th Workshop on Operator Theory in Krein Spaces and Operator Polynomials, Berlin, December 2006 (ISBN 978-3-7643-8911-6), (2009), pp. 207–235
Behrndt, Jussi; Förster, Karl-Heinz; Langer, Heinz; Trunk, Carsten (eds.):
Spectral theory in inner product spaces and applications: 6th Workshop on Operator Theory in Krein Spaces and Operator Polynomials, Berlin, December 2006
#!ilm_mods_00044527!#
Basel : Birkhäuser, 2009. - ISBN 978-3-7643-8911-6
[6. Workshop on Operator Theory in Krein Spaces and Operator Polynomials (Berlin, 14.-17.12.2006)]
(Operator theory: advances and applications ; 188)
URL: https://link.springer.com/bookseries/4850
Karabash, Illya; Trunk, Carsten:
Spectral properties of singular Sturm-Liouville operators with indefinite weight sgn x
#!ilm_mods_00044283!#
In: Royal Society of Edinburgh: Proceedings, vol. 139 (2009), no. 3, pp. 483–503
DOI: https://doi.org/10.1017/S0308210507000686
Jacob, Birgit; Trunk, Carsten:
Spectrum and analyticity of semigroups arising in elasticity theory and hydromechanics
#!ilm_mods_00044219!#
In: Semigroup forum : SMGFAN, vol. 79 (2009), no. 1, pp. 79–100
DOI: https://doi.org/10.1007/s00233-009-9148-y
Azizov, Tomas Ya.; Behrndt, Jussi; Trunk, Carsten:
On finite rank perturbations of definitizable operators
#!ilm_mods_00000721!#
In: Journal of mathematical analysis and applications, vol. 339 (2008), no. 2, pp. 1161–1168
DOI: https://doi.org/10.1016/j.jmaa.2007.07.016
Trunk, Carsten:
Spectral theory for operator matrices related to models in mechanics
#!ilm_mods_00046957!#
In: Mathematical notes, vol. 83 (2008), no. 5/6, pp. 843–850
DOI: https://doi.org/10.1134/S0001434608050295
Jacob, Birgit; Trunk, Carsten; Winklmeier, Monika:
Analyticity and Riesz basis property of semigroups associated to damped vibrations
#!ilm_mods_00046863!#
In: Journal of evolution equations: JEE, vol. 8 (2008), no. 2, pp. 263–281
DOI: https://doi.org/10.1007/s00028-007-0351-6
Strauss, Vladimir A.; Trunk, Carsten:
Spectralizable operators
#!ilm_mods_00046890!#
In: Integral equations and operator theory: IEOT, vol. 61 (2008), no. 3, pp. 413–422
DOI: https://doi.org/10.1007/s00020-008-1585-6
Azizov, Tomas Ya.; Jonas, Peter; Trunk, Carsten:
Small perturbation of selfadjoint and unitary operators in Krein spaces
#!ilm_mods_00048175!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M08,03 (2008)
Philipp, Friedrich; Trunk, Carsten:
G-selfadjoint operators in Almost Pontryagin spaces
#!ilm_mods_00048170!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M08,08 (2008)
Azizov, Tomas Ya.; Behrndt, Jussi; Jonas, Peter; Trunk, Carsten:
Spectral points of definite type and type π for linear operators and relations in Krein spaces
#!ilm_mods_00048166!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M08,12 (2008)
Trunk, Carsten:
Analyticity of semigroups related to a class of block operator matrices
#!ilm_mods_00048163!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M08,15 (2008)
Jacob, Birgit; Trunk, Carsten:
Spectrum and analyticity of semigroups arising in elasticity theory and hydromechanics
#!ilm_mods_00048159!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M08,19 (2008)
Behrndt, Jussi; Katatbeh, Qutaibeh; Trunk, Carsten:
Non-real eigenvalues of singular indefinite Sturm-Liouville operators
#!ilm_mods_00048154!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M08,28 (2008)
Behrndt, Jussi; Katatbeh, Qutaibeh; Trunk, Carsten:
Accumulation of complex eigenvalues of indefinite Sturm-Liouville operators
#!ilm_mods_00046751!#
In: Journal of physics A: Mathematical and theoretical, vol. 41 (2008), no. 24, art. 244003
DOI: https://doi.org/10.1088/1751-8113/41/24/244003
Jacob, Birgit; Morris, Kirsten; Trunk, Carsten:
Minimum-phase infinite-dimensional second-order systems
#!ilm_mods_00049236!#
In: IEEE transactions on automatic control, vol. 52 (2007), no. 9, pp. 1654–1665
DOI: https://doi.org/10.1109/TAC.2007.904471
Jonas, Peter; Trunk, Carsten:
A Sturm-Liouville problem depending rationally on the eigenvalue parameter
#!ilm_mods_00049135!#
In: Mathematische Nachrichten, vol. 280 (2007), no. 15, pp. 1709–1726
DOI: https://doi.org/10.1002/mana.200510573
Trunk, Carsten:
Spectral theory for operator matrices related to models in mechanics
#!ilm_mods_00050158!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M07,20 (2007)
Azizov, Tomas Ya.; Behrndt, Jussi; Philipp, Friedrich; Trunk, Carsten:
On domains of powers of linear operators and finite rank perturbations
#!ilm_mods_00050159!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M07,21 (2007)
Strauss, Vladimir A.; Trunk, Carsten:
Some Sobolev spaces as Pontryagin spaces
#!ilm_mods_00050156!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M07,17 (2007)
Trunk, Carsten:
Perturbation theory for self-adjoint operators in Krein spaces
#!ilm_mods_00050157!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M07,18 (2007)
Jacob, Birgit; Trunk, Carsten; Winklmeier, Monika:
Analyticity and Riesz basis property of semigroups associated to damped vibrations
#!ilm_mods_00050166!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M07,19 (2007)
Azizov, Tomas Ya.; Behrndt, Jussi; Jonas, Peter; Trunk, Carsten:
Compact and finite rank perturbations of linear relations in Hilbert spaces
#!ilm_mods_00050163!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M07,25 (2007)
Karabash, Illya; Trunk, Carsten:
Spectral properties of singular Sturm-Liouville operators with indefinite weight sgn x
#!ilm_mods_00050161!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M07,23 (2007)
Strauss, Vladimir A.; Trunk, Carsten:
Spectralizable operators
#!ilm_mods_00050162!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M07,24 (2007)
Behrndt, Jussi; Katatbeh, Qutaibeh; Trunk, Carsten:
Accumulation of complex eigenvalues of indefinite Sturm-Liouville operators
#!ilm_mods_00050160!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M07,22 (2007)
