Gernandt, Hannes; Philipp, Friedrich M.; Preuster, Till; Schaller, Manuel:
Extension theory via boundary triplets for infinite-dimensional implicit port-Hamiltonian systems
#!ilm_mods_00080023!#
In: Integral equations and operator theory: IEOT, vol. 98 (2026), no. 2, art. 17
DOI: https://doi.org/10.1007/s00020-026-02841-1
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
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
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
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
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
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
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
Behrndt, Jussi; Philipp, Friedrich; Trunk, Carsten:
On non-negative operators in Krein spaces and their perturbations
#!ilm_mods_00079060!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M25,03 (2025)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-202520046
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
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
Preuster, Till:
On linear boundary Port-Hamiltonian systems
#!ilm_mods_00020243!#
Ilmenau, 2024
Hannappel, Thomas; Shekarabi, Sahar; Jaegermann, Wolfram; Runge, Erich; Hofmann, Jan Philipp [et al.]:
Integration of multijunction absorbers and catalysts for efficient solar-driven artificial leaf structures: a physical and materials science perspective
#!ilm_mods_00013425!#
In: Solar RRL, vol. 8 (2024), no. 11, art. 2301047
DOI: https://doi.org/10.1002/solr.202301047
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
Philipp, Friedrich:
Frames in theory and application
#!ilm_mods_00030720!#
Ilmenau, 2024
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
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
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
Lee, Dae Gwan; Philipp, Friedrich; Voigtlaender, Felix:
A note on the invertibility of the Gabor frame operator on certain modulation spaces
#!ilm_mods_00001702!#
In: The journal of Fourier analysis and applications, vol. 29 (2023), no. 1, art. 3
DOI: https://doi.org/10.1007/s00041-022-09980-0
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
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
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
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
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
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
Gernandt, Hannes; Martínez Pería, Francisco; Philipp, Friedrich; Trunk, Carsten:
On characteristic invariants of matrix pencils and linear relations
#!ilm_mods_00002560!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M22,01 (2022)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2022200140
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
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
Leben, Leslie; Martínez Pería, Francisco; Philipp, Friedrich; Trunk, Carsten; Winkler, Henrik:
Finite rank perturbations of linear relations and matrix pencils
#!ilm_mods_00001864!#
In: Complex analysis and operator theory, vol. 15 (2021), no. 2, art. 37
DOI: https://doi.org/10.1007/s11785-021-01082-x
Snoo, Hendrik S.V.; Wietsma, H.L. (eds.):
Contributions to mathematics and statistics: essays in honor of Seppo Hassi
#!ilm_mods_00003987!#
Vaasa : Vaasan yliopisto, 2021. - ISBN 978-952-476-960-0
(Acta Wasaensia ; 462)
URL: https://urn.fi/URN:ISBN:978-952-476-960-0
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
Friedrich, Bernhard; Auger, Jean-Philippe; Dutz, Silvio; Boccaccini, Aldo R.; Krönke, Gerhard; Alexiou, Christoph; Lyer, Stefan; Tietze, Rainer:
The influence of hydroxyapatite-coated SPIONs on cytokine release - implications for safety and potential therapeutic use
#!ilm_mods_00009525!#
In: Biomedical engineering: joint journal of the German Society for Biomedical Engineering in VDE and the Austrian and Swiss Societies for Biomedical Engineering, vol. 66 (2021), no. s1, art. 07–0900–C8
[55. Annual Conference of the German Society of Biomedical Engineering (VDE/DGBMT) (Hannover, 05.-07.10.2021), 55. Annual Meeting of the German Society of Biomedical Engineering (VDE/DGBMT) (Hannover, 05.-07.10.2021), 55. BMT (Hannover, 05.-07.10.2021)]
DOI: https://doi.org/10.1515/bmt-2021-6061
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
Friedrich, Bernhard; Auger, Jean-Philippe; Dutz, Silvio; Cicha, Iwona; Schreiber, Eveline [et al.]:
Hydroxyapatite-coated SPIONs and their influence on cytokine release
#!ilm_mods_00001548!#
In: International journal of molecular sciences, vol. 22 (2021), no. 8, art. 4143
DOI: https://doi.org/10.3390/ijms22084143
Kästner, Carolin:
Analyse der Varianz der Aktivierungen in Convolutional Neural Networks zum Verzicht auf Batch Normalization
#!ilm_mods_00006119!#
Ilmenau, 2021
Richter, Philipp:
PAC-Lernbarkeit bei Klassifizierungsproblemen im Maschinellen Lernen
#!ilm_mods_00007386!#
Ilmenau, 2021
Giribet, Juan; Langer, Matthias; Martínez Pería, Francisco; Philipp, Friedrich; Trunk, Carsten:
Spectral enclosures for a class of block operator matrices
#!ilm_mods_00009352!#
In: Journal of functional analysis, vol. 278 (2020), no. 10, art. 108455
DOI: https://doi.org/10.1016/j.jfa.2019.108455
Gernandt, Hannes; Moalla, Nedra; Philipp, Friedrich; Selmi, Wafa; Trunk, Carsten:
Invariance of the essential spectra of operator pencils
#!ilm_mods_00010043!#
In: Operator theory, operator algebras and their interactions with geometry and topology: Ronald G. Douglas memorial volume (ISBN 978-3-030-43380-2), (2020), pp. 203–219
DOI: https://doi.org/10.1007/978-3-030-43380-2_10
Friedrich, Dennis; Sippel, Philipp; Supplie, Oliver; Hannappel, Thomas; Eichberger, Rainer:
Two-photon photoemission spectroscopy for studying energetics and electron dynamics at semiconductor interfaces
#!ilm_mods_00012439!#
In: Physica status solidi: A: Applications and materials science, vol. 216 (2019), no. 8, art. 1800738
DOI: https://doi.org/10.1002/pssa.201800738
Gernandt, Hannes; Moalla, Nedra; Philipp, Friedrich; Selmi, Wafa; Trunk, Carsten:
Invariance of the essential spectra of operator pencils
#!ilm_mods_00012668!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M19,03 (2019)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2019200141
Giribet, Juan; Langer, Matthias; Martínez Pería, Francisco; Philipp, Friedrich; Trunk, Carsten:
Spectral enclosures for a class of block operator matrices
#!ilm_mods_00012667!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M19,04 (2019)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2019200198
Leben, Leslie; Martínez Pería, Francisco; Philipp, Friedrich; Trunk, Carsten; Winkler, Henrik:
Finite rank perturbations of linear relations and singular matrix pencils
#!ilm_mods_00017243!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M18,08 (2018)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2018200104
Philipp, Friedrich; Trunk, Carsten:
Spectral points of type π+ and type π- of closed operators in indefinite inner product spaces
#!ilm_mods_00018339!#
In: Operators and matrices: OaM, vol. 9 (2015), no. 3, pp. 481–506
DOI: https://doi.org/10.7153/oam-09-30
Philipp, Friedrich; Trunk, Carsten:
Spectral points of type π + and type π - of closed operators in indefinite inner product spaces
#!ilm_mods_00034670!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M14,04 (2014)
Behrndt, Jussi; Leben, Leslie; Philipp, Friedrich:
Variation of discrete spectra of non-negative operators in Krein spaces
#!ilm_mods_00030284!#
In: Journal of operator theory, vol. 71 (2014), no. 1, pp. 157–173
DOI: https://doi.org/10.7900/jot.2011nov30.1964
Behrndt, Jussi; Philipp, Friedrich; Trunk, Carsten:
Bounds on the non-real spectrum of differential operators with indefinite weights
#!ilm_mods_00034965!#
In: Mathematische Annalen / begr. 1868 durch Alfred Clebsch [u.a.], vol. 357 (2013), no. 1, pp. 185–213
DOI: https://doi.org/10.1007/s00208-013-0904-7
Philipp, Friedrich; Trunk, Carsten:
The numerical range of non-negative operators in Krein spaces
#!ilm_mods_00035108!#
In: Linear algebra and its applications: LAA, vol. 438 (2013), no. 5, pp. 2542–2556
DOI: https://doi.org/10.1016/j.laa.2012.10.048
Philipp, Friedrich; Strauss, Vladimir; Trunk, Carsten:
Local spectral theory for normal operators in Krein spaces
#!ilm_mods_00035110!#
In: Mathematische Nachrichten, vol. 286 (2013), no. 1, pp. 42–58
DOI: https://doi.org/10.1002/mana.201000141
Müller, Christian Friedrich:
Das Traffic Control Subsystem in Linux - eine Aufbau, Struktur und Performance Analyse
#!ilm_mods_00027126!#
2013
Behrndt, Jussi; Philipp, Friedrich; Trunk, Carsten:
Bounds on the non-real spectrum of differential operators with indefinite weights
#!ilm_mods_00038331!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M12,07 (2012)
Philipp, Friedrich; Trunk, Carsten:
The numerical range of non-negative operators in Krein spaces
#!ilm_mods_00038445!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M12,11 (2012)
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
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; 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
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)
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
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
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; 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)
