Timo Reis

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
		Thomas Berger, Tobias Breiten, Marc Puche, Timo Reis Funnel control for the monodomain equations with the FitzHugh-Nagumo model Hamburger Beiträge zur Angewandten Mathematik 2019-12, Hamburg (2019) PDF
		Marc Puche, Felix L. Schwenninger, Timo Reis Funnel control for boundary control systems akzeptiert zur Veröffentlichung in Evol. Eq. Control Th. (2020) PDF
		Marc Puche Adaptive control for boundary control systems Dissertation (2019) PDF
		Arash Massoudi Numerical algorithms for linear-quadratic optimal control of well-posed linear systems Dissertation (2016) PDF
		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) doi:10.1007/s00498-015-0143-4
		Timo Reis, Tilman Selig Funnel control for the boundary controlled heat equation SIAM J. Control Optim., 53(1), S. 547-574 (2015) doi:10.1137/140971567
		Timo Reis, Tilman Selig Balancing transformations for infinite-dimensional systems with nuclear Hankel operator Integr. Equ. Oper. Theory 79(1), S. 67-105 (2013) doi:10.1137/10.1007/s00020-013-2105-x
		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) doi:10.1137/120885310
		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) doi:10.1007/s00025-008-0304-6
		Timo Reis Controllability and observability of infinite dimensional descriptor systems IEEE Trans. Automat. Control, 53(4), S. 929-940 (2008) doi:10.1109/TAC.2008.920236
		Timo Reis Consistent initialization and perturbation analysis for abstract differential-algebraic equations Math. Control Signals Systems, 19(3), S. 255-281 (2007) doi:10.1007/s00498-007-0013-9
		Timo Reis Systems theoretic aspects of PDAEs and applications to electrical circuits Dissertation (2006), PDF
		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) doi:10.1007/s00028-005-0198-7
Steuerung und Regelung differentiell-algebraischer Systeme

adaptive Regelung linear-quadratische Optimalsteuerung Beobachterentwurf Anwendungen in Mehrkörperdynamik
		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) doi:10.1137/18M1189609
		Lê Huy Hoàng Funnel control for systems with known vector relative degree Dissertation (2019) PDF
		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) doi:10.1007/s11071-018-4672-5
		Thomas Berger, Timo Reis The funnel pre-compensator Internat. J. Robust Nonlinear Control 28(16), S. 4747-4771 (2018) doi:10.1002/rnc.4281
		Marc Puche, Felix L. Schwenninger, Timo Reis Constant-coefficient differential-algebraic operators and the Kronecker form Linear Algebra Appl., 552, S. 29-41 (2018) doi:10.1016/j.laa.2018.04.005
		Thomas Berger, Timo Reis Observers and dynamic controllers for linear differential-algebraic systems SIAM J. Control Optim., 55(6), S. 3564-3591 (2017) doi:10.1137/15M1035355
		Thomas Berger, Timo Reis Regularization of linear time-invariant differential-algebraic systems Systems Control Lett., 78, S. 40-46 (2015) doi:10.1016/j.sysconle.2015.01.013
		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) doi:10.1007/s00498-012-0085-z
		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) doi:10.1137/070710093
Modellreduktion dynamischer Systeme

balanciertes Abschneiden passivitäts- und strukturerhaltende Methoden Anwendungen in gekoppelten Systemen und elektrischen Schaltungen
		Ines Dorschky, Timo Reis, Matthias Voigt Balanced truncation model reduction for symmetric second order systems -- A passivity-based approach Hamburger Beiträge zur Angewandten Mathematik 2020-14, Hamburg, eingereicht (2020) PDF
		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) doi:10.1109/TAC.2014.2368232
		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) doi:10.1080/00207179.2011.622791
		Athanasios C. Antoulas, Matthias Heinkenschloss, Timo Reis Balanced truncation model reduction for systems with inhomogeneous initial conditions Automatica, 47(3), S. 559-564 (2011) doi:10.1016/j.automatica.2010.12.002
		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) doi:10.1137/090779802
		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) doi:10.1016/j.sysconle.2010.10.009
		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) doi:10.1109/TCAD.2010.2059330
		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) doi:10.1080/00207170903100214
		Timo Reis, Elena Virnik Positivity preserving balanced truncation for descriptor systems SIAM J. Control Optim., 48(4), S. 2600-2619 (2009) doi:10.1137/080734200
		Timo Reis, Tatjana Stykel Balanced truncation model reduction of second-order systems Math. Comput. Model. Dyn. Syst., 14(5), S. 391-406 (2009) doi:10.1080/13873950701844170
		Timo Reis, Tatjana Stykel Stability analysis and model order reduction for coupled systems Math. Comput. Model. Dyn. Syst., 13(5), S. 413-436 (2007) doi:10.1080/13873950701189071
Matrixgleichungen in der Systemtheorie

Riccati- und Lur'e-Gleichungen Kalman-Yakubovich-Popov-Ungleichung Niedrigrangverfahren zur iterativen Lösung
		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) doi:10.1007/s00211-016-0805-2
		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) doi:10.1137/140985792
		Federico Poloni, Timo Reis A structured doubling algorithm for Lur'e Equations Numer. Linear Algebra Appl., 23(1), S. 169-186 (2016) doi:10.1002/nla.2019
		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) doi:10.1016/j.sysconle.2016.05.010
		Timo Reis, Olaf Rendel, Matthias Voigt The Kalman-Yakubovich-Popov inequality for differential-algebraic systems Linear Algebra Appl., 485, S. 153-193 (2015) doi:10.1016/j.laa.2015.06.021
		Federico Poloni, Timo Reis A deflation approach for large-scale Lur'e equations SIAM. J. Matrix Anal. Appl. 33(4), S. 1339-1368 (2012) doi:10.1137/120861679
		Timo Reis Lur'e equations and even matrix pencils Linear Algebra Appl., 434(1), S. 152-173 (2011) doi:10.1016/j.laa.2010.09.005
Mathematische Theorie elektrischer Schaltungen

Numerische Simulation Strukturanalyse über graphentheoretische Ansätze Netzwerksynthese
		Andreas Bartel, Michael Günther, Birgit Jacob, Timo Reis Dynamic iteration schemes and port-Hamiltonian formulation in coupled DAE circuit simulation Hamburger Beiträge zur Angewandten Mathematik 2020-12, Hamburg (2020) PDF, eingereicht
		Hannes Gernandt, Frédéric E. Haller, Timo Reis, Arjan J. van der Schaft Port-Hamiltonian formulation of nonlinear electrical circuits Hamburger Beiträge zur Angewandten Mathematik 2020-09, Hamburg (2020) PDF, eingereicht
		Fedor Glazov, Timo Reis Systems theoretic properties of linear RLC circuits Hamburger Beiträge zur Angewandten Mathematik 2020-01, Hamburg (2020) PDF, eingereicht
		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) doi:10.1007/978-3-319-08437-4_2
		Timo Reis Circuit synthesis of passive descriptor systems - a modified nodal approach Int. J. Circ. Theor. Appl., 38(1), S. 44-68 (2010) doi:10.1002/cta.532

Forschungsschwerpunkte

Unendlichdimensionale Systeme, partielle Differentialgleichungen und partielle differentiell-algebraische Gleichungen

Steuerung und Regelung differentiell-algebraischer Systeme

Modellreduktion dynamischer Systeme

Matrixgleichungen in der Systemtheorie

Mathematische Theorie elektrischer Schaltungen