Fachgebietsleiter
AnLi Fotografie
Prof. Dr. Timo Reis
Besuchsanschrift:
Weimarer Str. 25
Curiebau, Raum C 221
98693 Ilmenau
Postanschrift:
Postfach 10 05 65
98684 Ilmenau
+49 3677 69-3250
- geboren 1979 in Trier
Ausbildung
10/98–09/02 | Studium der Mathematik und Elektrotechnik, Universität Kaiserslautern |
09/02 | Dipl.-Math., Universität Kaiserslautern |
11/02–09/05 | Promotionsstipendiat, Graduiertenkolleg "Mathematik und Praxis", TU Kaiserslautern |
06/06 | Dr. rer. nat. in Mathematik, TU Kaiserslautern, betreut von Eva Zerz |
Beschäftigungen
10/05–08/08 | Wissenschaftlicher Mitarbeiter, Institut für Mathematik, TU Berlin |
11/06–08/11 | Mitglied und Projektleiter im DFG-Forschungszentrum Matheon, Berlin |
09/08–05/09 | Gastwissenschaftler, "Department of Computational and Applied Mathematics", Rice University, Houston, Texas |
06/09–03/10 | Wissenschaftlicher Mitarbeiter, Institut für Mathematik, TU Berlin |
04/10–08/11 | Vertretungsprofessor, Institut für Numerische Simulation, TU Hamburg-Harburg |
08/11–07/11 | Professor am Fachbereich Mathematik, Universität Hamburg |
seit 08/21 | Univ.-Prof. Dr. rer. nat. "Systemtheorie und partielle Differentialgleichungen", TU Ilmenau |
Veröffentlichungen
- Timo Reis, Manuel Schaller
Port-Hamiltonian formulation of Oseen flows - Friedrich Philipp, Timo Reis, Manuel Schaller
Infinite-dimensional port-Hamiltonian systems -- a system node approach - Bálint Farkas, Birgit Jacob, Timo Reis, Merlin Schmitz
Operator splitting based dynamic iteration for linear infinite-dimensional port-Hamiltonian systems - Andreas Bartel, Markus Clemens, Michael Günther, Birgit Jacob, Timo Reis
Port-Hamiltonian Systems Modelling in Electrical Engineering - Andreas Bartel, Michael Günther, Birgit Jacob, Timo Reis
Operator splitting based dynamic iteration for linear port-Hamiltonian systems - Rebekka S. Beddig, Peter Benner, Ines Dorschky, Timo Reis, Paul Schwerdtner, Matthias Voigt, Steffen W. R. Werner
Structure-preserving model reduction for dissipative mechanical systems
- Ralph Chill, Timo Reis, Tatjana Stykel
Analysis of a quasilinear coupled magneto-quasistatic model: Solvability and regularity of solutions
J. Math. Anal. Appl. 523(2), 127033 (2023) - Timo Reis, Tatjana Stykel
Passivity, Port-Hamiltonian Formulation and Solution Estimates for a Coupled Magneto-Quasistatic SystemEvol. Equ. Control Theory 12(4), S. 1208-1232 (2023) - Ines Dorschky, Timo Reis, Matthias Voigt
Balanced truncation model reduction for symmetric second order systems -- A passivity-based approach
SIAM. J. Matrix Anal. Appl. 42(4), S. 1602-1635 (2021) - Timo Reis
Some notes on port-Hamiltonian systems on Banach spaces
IFAC-PapersOnLine 54(19), S. 223-229 (2021) - Thomas Berger, Svenja Drücker, Lukas Lanza, Timo Reis, Robert Seifried
Tracking control for underactuated non-minimum phase multibody systems
Nonlinear Dynamics 104(4), S. 3671–3699 (2021) - Fedor Glazov, Timo Reis
Systems theoretic properties of linear RLC circuits
IFAC-PapersOnLine 54(9), S. 38-45 (2021) - Hannes Gernandt, Frédéric E. Haller, Timo Reis
A linear relation approach to port-Hamiltonian differential-algebraic equations
SIAM. J. Matrix Anal. Appl. 42(2), S. 1011-1044 (2021) - Thomas Berger, Tobias Breiten, Marc Puche, Timo Reis
Funnel control for the monodomain equations with the FitzHugh-Nagumo model
J. Differential Equations 286, S. 164-214 (2021) - Marc Puche, Felix L. Schwenninger, Timo Reis
Funnel control for boundary control systems
Evol. Equ. Control Theory 10(3), S. 519-544 (2021) - Hannes Gernandt, Frédéric E. Haller, Timo Reis, Arjan J. van der Schaft
Port-Hamiltonian formulation of nonlinear electrical circuits
J. Geom. Phys. 159(102959) (2020) - Andreas Bartel, Michael Günther, Birgit Jacob, Timo Reis
Dynamic iteration schemes and port-Hamiltonian formulation in coupled DAE circuit simulation
Int. J. Circ. Theor. Appl. 49(2), S. 430-452 (2020) - Timo Reis, Matthias Voigt
Linear-quadratic optimal control of differential-algebraic systems: The infinite time horizon problem with zero terminal state
SIAM J. Control Optim. 7(3), S. 1567-1596 (2019) - Thomas Berger, Svenja Otto, Timo Reis, Robert Seifried
Combined open-loop and funnel control for underactuated multibody systems
Nonlinear Dynamics 95(3), S. 1977-1998 (2019) - Timo Reis, Matthias Voigt
Inner-outer factorizations for differential-algebraic systems
Math. Control Signals Systems 30(3), Art. 15 (2018) - Thomas Berger, Timo Reis
ODE observers for DAE systems
IMA J. Math. Control Inform. 36(4), S. 1375-1393 (2018) - Thomas Berger, Timo Reis
The funnel pre-compensator
Internat. J. Robust Nonlinear Control 28(16), S. 4747-4771 (2018) - Thomas Berger, Timo Reis
Funnel control via funnel precompensator for minimum phase systems with relative degree two
IEEE Trans. Automat. Control 63(7), S. 2264-2271 (2018) - Marc Puche, Felix L. Schwenninger, Timo Reis
Constant-coefficient differential-algebraic operators and the Kronecker form
Linear Algebra Appl., 552, S. 29-41 (2018) - Thomas Berger, Lê Huy Hoàng, Timo Reis
Funnel control for nonlinear systems with known strict relative degree
Automatica, 87, S. 345-357 (2018) - Thomas Berger, Timo Reis
Observers and dynamic controllers for linear differential-algebraic systems
SIAM J. Control Optim., 55(6), S. 3564-3591 (2017) - Arash Massoudi, Mark R. Opmeer, Timo Reis
The ADI method for bounded real and positive real Lur'e equations
Numerische Mathematik, 135(2), S. 431-458 (2017) - Achim Ilchmann, Timo Reis
Outer transfer functions of differential-algebraic systems
ESAIM Control Optim. Calc. Var., 23(2), S. 391-425 (2017) - Arash Massoudi, Mark R. Opmeer, Timo Reis
Analysis of an iteration method for the algebraic Riccati equation
SIAM. J. Matrix Anal. Appl., 37(2), S. 624-648 (2016) - Federico Poloni, Timo Reis
A structured doubling algorithm for Lur'e Equations
Numer. Linear Algebra Appl., 23(1), S. 169-186 (2016) - Timo Reis, Matthias Voigt
The Kalman-Yakubovich-Popov inequality for differential-algebraic systems: existence of nonpositive solutions
Systems Control Lett., 95 (Jan C. Willems Memorial Issue), S. 3-10 (2016 - Timo Reis, Olaf Rendel, Matthias Voigt
The Kalman-Yakubovich-Popov inequality for differential-algebraic systems
Linear Algebra Appl., 485, S. 153-193 (2015) - Timo Reis, Tilman Selig
Zero dynamics and root locus for a boundary controlled heat equation
Math. Control Signals Systems, 27(3), S. 347-373 (2015) - Thomas Berger, Timo Reis
Regularization of linear time-invariant differential-algebraic systems
Systems Control Lett., 78, 78, S. 40-46 (2015) - Timo Reis, Tilman Selig
Funnel control for the boundary controlled heat equation
SIAM J. Control Optim., 53(1), S. 547-574 (2015) - Mark R. Opmeer, Timo Reis
A lower bound for the balanced truncation error for MIMO systems
IEEE Trans. Automat. Control, 60(8), S. 2207-2212 (2015) - Thomas Berger, Timo Reis
Zero dynamics and funnel control for linear electrical circuits
J. Franklin Inst., 351(11), S. 5099-5132 (2014) - Timo Reis, Tilman Selig
Balancing transformations for infinite-dimensional systems with nuclear Hankel operator
Integr. Equ. Oper. Theory 79(1), S. 67-105 (2013) - Mark R. Opmeer, Timo Reis, Winnifried Wollner
Finite-rank ADI iteration for operator Lyapunov equations
SIAM J. Control Optim., 51(5), S. 4084-4117 (2013) - Federico Poloni, Timo Reis
A deflation approach for large-scale Lur'e equations
SIAM. J. Matrix Anal. Appl. 33(4), S. 1339-1368 (2012)
Thomas Berger, Achim Ilchmann, Timo Reis - Zero dynamics and funnel control of linear differential-algebraic systems
Math. Control Signals Systems, 24(3), S. 219-263 (2012) - Jens Möckel, Timo Reis, Tatjana Stykel
Linear-quadratic Gaussian balancing for model reduction of differential-algebraic systems
Internat. J. Control, 84(10), S. 1627-1643 (2011) - Athanasios C. Antoulas, Matthias Heinkenschloss, Timo Reis
Balanced truncation model reduction for systems with inhomogeneous initial conditions
Automatica, 47(3), S. 559-564 (2011) - Timo Reis, Tatjana Stykel
Lyapunov balancing for passivity-preserving model reduction of RC circuits
SIAM J. Appl. Dyn. Syst., 10(1), S. 1-34 (2011) - Timo Reis, Jan C. Willems
A balancing approach to the realization of systems with internal passivity and reciprocity
Systems Control Lett., 60(1), S. 69-74 (2011) - Timo Reis
Lur'e equations and even matrix pencils
Linear Algebra Appl., 434(1), S. 152-173 (2011) - Timo Reis, Tatjana Stykel
PABTEC: Passivity-preserving balanced truncation for electrical circuits
IEEE Trans. Computer-Aided Design Integr. Circuits Syst., 29(9), S. 1354-1367 (2010) - Timo Reis
Circuit synthesis of passive descriptor systems - a modified nodal approach
Int. J. Circ. Theor. Appl., 38(1), S. 44-68 (2010) - Timo Reis, Tatjana Stykel
Positive real and bounded real balancing for model reduction of descriptor systems
Internat. J. Control, 82(1), S. 74-88 (2010) - Timo Reis, Elena Virnik
Positivity preserving balanced truncation for descriptor systems
SIAM J. Control Optim., 48(4), S. 2600-2619 (2009) - Michael Hanke, Timo Reis
The perturbation and ADAE index of a degenerated hyperbolic system modelling a heat exchanger
Res. Math., 53(1-2), S. 103-127 (2009) - Philip Losse, Volker Mehrmann, Lisa Poppe, Timo Reis
The modified optimal H∞ control problem for descriptor systems
SIAM J. Control Optim., 48(4), S. 2600-2619 (2009) - Timo Reis, Tatjana Stykel
Balanced truncation model reduction of second-order systems
Math. Comput. Model. Dyn. Syst., 14(5), S. 391-406 (2009) - Timo Reis
Controllability and observability of infinite dimensional descriptor systems
IEEE Trans. Automat. Control, 53(4), S. 929-940 (2008) - Timo Reis
Consistent initialization and perturbation analysis for abstract differential-algebraic equations
Math. Control Signals Systems, 19(3), S. 255-281 (2007) - Timo Reis, Tatjana Stykel
Stability analysis and model order reduction for coupled systems
Math. Comput. Model. Dyn. Syst., 13(5), S. 413-436 (2007) - Timo Reis, Caren Tischendorf
Frequency domain methods and decoupling of linear infinite dimensional differential algebraic systems
J. Evol. Equ., 5(3), S. 357-385 (2005)
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- Thomas Berger, Lê Huy Hoàng, Timo Reis
Vector relative degree and funnel control for differential-algebraic systems
S. Grundel, T. Reis, S. Schöps (eds): Progress in Differential-Algebraic Equations II,
Differential-Algebraic Equations Forum, Springer-Verlag, Berlin/Heidelberg (2020) - Thomas Berger, Timo Reis, Stephan Trenn
Observability of linear differential-algebraic systems - a survey
A. Ilchmann and T. Reis (eds): Surveys in Differential-Algebraic Equations IV, S. 161-219,
Differential-Algebraic Equations Forum, Springer-Verlag, Berlin/Heidelberg (2017) - Timo Reis, Tatjana Stykel
A condensed form for nonlinear differential-algebraic equations in circuit theory
P. Benner, M. Bollhöfer, D. Kressner, C. Mehl and T. Stykel (eds.): Numerical Linear Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory, S. 435-462
Springer-Verlag, Berlin/Heidelberg (2015) - Timo Reis
Mathematical modeling and analysis of nonlinear time-invariant RLC circuits
P. Benner, R. Findeisen, D. Flockerzi, U. Reichl and K. Sundmacher (eds): Large-Scale Networks in Engineering and Life Sciences, S. 125-198
Modeling and Simulation in Science, Engineering and Technology, Birkhäuser, Basel, (2014) - Thomas Berger, Timo Reis
Controllability of linear differential-algebraic systems - a survey
A. Ilchmann and T. Reis (eds): Surveys in Differential-Algebraic Equations I, S. 1-63,
Differential-Algebraic Equations Forum, Springer-Verlag, Berlin/Heidelberg (2013) - Thomas Berger, Achim Ilchmann, Timo Reis
Normal forms, high-gain and funnel control for linear differential-algebraic systems
L. Biegler, S.L. Campbell, V. Mehrmann (eds): Control and Optimization with Differential-Algebraic Constraints, S. 127-164
Advances in Design and Control, SIAM publishing, Philadelphia, PA (2012) - Timo Reis, Tatjana Stykel
Passivity-preserving balanced truncation model reduction of circuit equations
J. Roos and L. Costa (eds): Scientific Computing in Electrical Engineering, S. 483-490,
Mathematics in Industry, Vol. 14, Springer-Verlag, Berlin/Heidelberg (2010) - Timo Reis, Elena Virnik
Positivity preserving model reduction
R. Bru, S. Romero-Vivo (eds): Positive Systems, S. 131-139,
Lecture Notes in Control and Information Sciences, Vol. 389, Springer-Verlag, Berlin/Heidelberg (2009) - Timo Reis, Tatjana Stykel
A survey on model reduction of coupled systems
W.H.A. Schilders, H. van der Vorst, J. Rommes (eds): Model Order Reduction: Theory, Research Aspects and Applications, S. 133-155,
Mathematics in Industry, Vol. 13, Springer-Verlag, Berlin/Heidelberg (2008)
- Achim Ilchmann, Timo Reis
Foreword by the editors
R. Lamour, R. März, C. Tischendorf: Differential-Algebraic Equations: A Projector Based Analysis, S. v-vi,
Differential-Algebraic Equations Forum, Springer-Verlag, Berlin/Heidelberg (2013)
- Thomas Berger, Timo Reis, Leonie Wagner
Flat outputs for funnel control of non-minimum-phase systems
Proceedings of the MTNS 2022 (2022) - Timo Reis
Systems theoretic properties of linear RLC circuits
Proceedings of the MTNS 2022 (2022) - Friedrich Philipp, Timo Reis, Manuel Schaller
Port-Hamiltonian system nodes
Proceedings of the MTNS 2022 (2022) - Rebekka S. Beddig, Peter Benner, Ines Dorschky, Timo Reis, Paul Schwerdtner, Matthias Voigt, Steffen Werner
Model Reduction for Second-Order Dynamical Systems Revisited
Proceedings in Applied Mathematics and Mechanics, 20(1) (2019) - Thomas Berger, Lê Huy Hoàng, Timo Reis
Funnel control for nonlinear systems with higher relative degree
Proceedings in Applied Mathematics and Mechanics, 18(1) (2018) - Thomas Berger, Lê Huy Hoàng, Timo Reis
Funnel control for overhead crane model
Proceedings in Applied Mathematics and Mechanics, 18(1) (2018) - Arash Massoudi, Timo Reis
The Newton-Kleinman method for the optimal control of stable weakly regular linear systems
Proceedings in Applied Mathematics and Mechanics, 16(1), S. 815-816 (2016) - Timo Reis, Matthias Voigt
Inner-Outer Factorization via Lur'e Equations
Proceedings in Applied Mathematics and Mechanics, 16(1), S. 829-830 (2016) - Timo Reis
Balanced truncation model reduction for infinite-dimensional linear systems
Oberwolfach Reports 50/2015, S. 21 (2015) - Timo Reis, Matthias Voigt
The Kalman-Yakubovich-Popov inequality for descriptor systems
Proceedings in Applied Mathematics and Mechanics, 15(1), S. 645-646 (2015) - Thomas Berger, Timo Reis
Funnel control for electrical circuits
Proceedings in Applied Mathematics and Mechanics, 14(1), S. 3-6 (2014) - Timo Reis, Matthias Voigt
The dissipation inequality for differential-algebraic equations
Proceedings in Applied Mathematics and Mechanics, 14(1), S. 11-14 (2014) - Timo Reis, Olaf Rendel
Numerical Solution of singular Lur'e equations
Proceedings in Applied Mathematics and Mechanics, 14(1), S. 829-830 (2014) - Timo Reis, Matthias Voigt
Solution of descriptor Lur'e equations via even matrix pencils
Proceedings in Applied Mathematics and Mechanics, 14(1), S. 925-926 (2014) - Thomas Berger, Timo Reis
Structural properties of positive real and reciprocal rational matrices
Proceedings of the MTNS 2014 (2014) - Thomas Berger, Achim Ilchmann, Timo Reis
Funnel control for nonlinear functional differential-algebraic systems
Proceedings of the MTNS 2014 (2014) - Timo Reis, Tilman Selig
Balancing transformations for infinite-dimensional control systems
Proceedings in Applied Mathematics and Mechanics, 13(1), S. 465-466 (2013) - Timo Reis, Winnifried Wollner
Iterative solution of operator Lyapunov equations arising in heat transfer
Proceedings of the ECC 2013 (2012) - Timo Reis, Matthias Voigt
Linear-quadratic infnite time horizon optimal control for differential-algebraic equations - a new algebraic criterion
Proceedings of the MTNS 2012 (2012) - Timo Reis
Solution of Lur'e equations via deflating subspaces
Proceedings of the CCCA 2011, S. 1-4 (2011) - Thomas Berger, Achim Ilchmann, Timo Reis
Nulldynamik bei DAEs
Workshop in Anif/Salzburg 19.-22.09.2010: Tagungsband des GMA-Fachausschuss 1.40 "Theoretische Verfahren der Regelungstechnik", Hrsg.: Andreas Kugi und Boris Lohmann, 383-389 (2010) - Timo Reis
Lur'e equations and singular optimal control
Proceedin Timo Reis, Tatjana Stykel
The PABTEC algorithm for passivity-preserving model reduction of circuit equations
Proceedings of the MTNS 2010 (2010) PDFgs of the MTNS 2010 (2010) PDF - Matthias Heinkenschloss, Timo Reis
Model reduction with a priori error bounds for a class of nonlinear electrical circuits
Proceedings of the CDC 2009, S. 5376-5383 (2009) - Philip Losse, Timo Reis
H∞ control for descriptor dystems - a structured matrix pencils approach
Proceedings of the CDC 2009, S. 103-108 (2009) - Birgit Jacob, Timo Reis
Passivity criteria for infinite-dimensional descriptor systems
Proceedings in Applied Mathematics and Mechanics, 8(1), S. 10073-10076 (2008) - Birgit Jacob, Timo Reis
Passive infinite-dimensional descriptor systems
Proceedings of the MTNS 2008 (2008) - Peter Benner, Philip Losse, Volker Mehrmann, Lisa Poppe, Timo Reis
γ-iteration for descriptor systems using structured matrix pencils
Proceedings of the MTNS 2008 (2008) - Timo Reis
A modified nodal approach to circuit synthesis
Proceedings in Applied Mathematics and Mechanics, 7(1), S. 2020037-2020038 (2007) - Timo Reis, Tatjana Stykel
Passivity-preserving model reduction of circuit equations
Proceedings in Applied Mathematics and Mechanics, 7(1), S. 1021601-1021602 (2007) - Timo Reis
Linear and time-invariant abstract differential-algebraic systems
Oberwolfach Reports 18/2006, S. 62-64 (2006) - Timo Reis
Decoupling of abstract DAEs
Proceedings in Applied Mathematics and Mechanics, 6(1), S. 835-836 (2006) - Timo Reis
Model reduction for a class of PDAE systems
Proceedings in Applied Mathematics and Mechanics, 5(1), S. 179-180 (2006) - Timo Reis
An infinite dimensional descriptor system model for electrical circuits with transmission lines
Proceedings of the MTNS 2004 (2004) - Timo Reis
On error computation of symbolic approximates of parametrized dynamical systems
Proceedings of the SMACD 2004 (2004)
- Timo Reis
Systems Theoretic Aspects of PDAEs and Applications to Electrical Circuits
Dissertation zur Erlangung des Grades Dr. rer. nat., Fachbereich Mathematik, Technische Universität Kaiserslautern (2006) - Timo Reis
Model Reduction of Multidimensional Systems - with Applications to Electrical Circuits
Diplomarbeit, Fachbereich Mathematik, Universität Kaiserslautern (2002)
Forschungsschwerpunkte
Unendlichdimensionale Systeme, partielle Differentialgleichungen und partielle differentiell-algebraische Gleichungen
- adaptive Regelung
- linear-quadratische Optimalsteuerung
- numerische Behandlung von Operator-Lyapunov- und -Riccati-Gleichungen
- endlichdimensionale Approximation
- unendlichdimensionale differentiell-algebraische Systeme
Steuerung und Regelung differentiell-algebraischer Systeme
- adaptive Regelung
- linear-quadratische Optimalsteuerung
- Beobachterentwurf
- Anwendungen in Mehrkörperdynamik
Modellreduktion dynamischer Systeme
- balanciertes Abschneiden
- passivitäts- und strukturerhaltende Methoden
- Anwendungen in gekoppelten Systemen und elektrischen Schaltungen
Matrixgleichungen in der Systemtheorie
- Riccati- und Lur'e-Gleichungen
- Kalman-Yakubovich-Popov-Ungleichung
- Niedrigrangverfahren zur iterativen Lösung
Mathematische Theorie elektrischer Schaltungen
- Numerische Simulation
- Strukturanalyse über graphentheoretische Ansätze
- Netzwerksynthese
