Timo Reis

Articles submitted to refereed journals:
		Timo Reis Some notes on port-Hamiltonian systems on Banach spaces Hamburger Beiträge zur Angewandten Mathematik 2021-3, Hamburg (2021) PDF
		Ralph Chill, Timo Reis, Tatjana Stykel Analysis of a quasilinear coupled magneto-quasistatic model. Part I: Solvability and regularity of solutions Hamburger Beiträge zur Angewandten Mathematik 2021-1, Hamburg (2021) PDF
		Timo Reis, Tatjana Stykel Analysis of a quasilinear coupled magneto-quasistatic model. Part II: Passivity, port-Hamiltonian formulation and solution estimates Hamburger Beiträge zur Angewandten Mathematik 2021-2, Hamburg (2021) PDF
		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 Hamburger Beiträge zur Angewandten Mathematik 2020-18, Hamburg (2020) PDF
		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 (2020) PDF
Refereed articles in journals:
		Thomas Berger, Svenja Drücker, Lukas Lanza, Timo Reis, Robert Seifried Tracking control for underactuated non-minimum phase multibody systems accepted for publication in Nonlinear Dynamics (2021) PDF
		Fedor Glazov, Timo Reis Systems theoretic properties of linear RLC circuits accepted for publication in Mathematical Theory of Networks and Systems (2021) PDF
		Hannes Gernandt, Frédéric E. Haller, Timo Reis A linear relation approach to port-Hamiltonian differential-algebraic equations accepted for publication in SIAM. J. Matrix Anal. Appl. (2021) PDF
		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) doi:10.1016/j.jde.2021.03.012
		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) doi:10.1016/j.geomphys.2020.103959
		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. (2020) doi:10.1002/cta.2870
		Marc Puche, Felix L. Schwenninger, Timo Reis Funnel control for boundary control systems Evol. Equ. Control Theory (2020) doi:10.3934/eect.2020079
		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), pp. 1567-1596 (2019) 10.1137/18M1189609
		Thomas Berger, Svenja Otto, Timo Reis, Robert Seifried Combined open-loop and funnel control for underactuated multibody systems Nonlinear Dynamics Nonlinear Dynamics 95(3), pp. 1977-1998 (2019) doi:10.1007/s11071-018-4672-5
		Timo Reis, Matthias Voigt Inner-outer factorizations for differential-algebraic systems Math. Control Signals Systems 30(3), art. 15 (2018) doi:10.1007/s00498-018-0221-5
		Thomas Berger, Timo Reis ODE observers for DAE systems IMA J. Math. Control Inform. 36(4), pp. 1375-1393 (2018) doi:10.1093/imamci/dny032
		Thomas Berger, Timo Reis The funnel pre-compensator Internat. J. Robust Nonlinear Control 28(16), pp. 4747-4771 (2018) doi:10.1002/rnc.4281
		Thomas Berger, Timo Reis Funnel control via funnel precompensator for minimum phase systems with relative degree two IEEE Trans. Automat. Control 63(7), pp. 2264-2271 (2018) doi:10.1109/TAC.2017.2761020
		Marc Puche, Felix L. Schwenninger, Timo Reis Constant-coefficient differential-algebraic operators and the Kronecker form Linear Algebra Appl., 552, pp. 29-41 (2018) doi:10.1016/j.laa.2018.04.005
		Thomas Berger, Lê Huy Hoang, Timo Reis Funnel control for nonlinear systems with known strict relative degree Automatica, 87, pp. 345-357 (2018) doi:10.1016/j.automatica.2017.10.017
		Thomas Berger, Timo Reis Observers and dynamic controllers for linear differential-algebraic systems SIAM J. Control Optim., 55(6), pp. 3564-3591 (2017) doi:10.1137/15M1035355
		Arash Massoudi, Mark R. Opmeer, Timo Reis The ADI method for bounded real and positive real Lur'e equations Numerische Mathematik, 135(2), pp. 431-458 (2017) doi:10.1007/s00211-016-0805-2
		Achim Ilchmann, Timo Reis Outer transfer functions of differential-algebraic systems ESAIM Control Optim. Calc. Var., 23(2), pp. 391-425 (2017) doi:10.1051/cocv/2015051
		Arash Massoudi, Mark R. Opmeer, Timo Reis Analysis of an iteration method for the algebraic Riccati equation SIAM. J. Matrix Anal. Appl., 37(2), pp. 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), pp. 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), pp. 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, pp. 153-193 (2015) doi:10.1016/j.laa.2015.06.021
		Timo Reis, Tilman Selig Zero dynamics and root locus for a boundary controlled heat equation Math. Control Signals Systems, 27(3), pp. 347-373 (2015) doi:10.1007/s00498-015-0143-4
		Thomas Berger, Timo Reis Regularization of linear time-invariant differential-algebraic systems Systems Control Lett., 78, 78, pp. 40-46 (2015) doi:10.1016/j.sysconle.2015.01.013
		Timo Reis, Tilman Selig Funnel control for the boundary controlled heat equation SIAM J. Control Optim., 53(1), pp. 547-574 (2015) doi:10.1137/140971567
		Mark R. Opmeer, Timo Reis A lower bound for the balanced truncation error for MIMO systems IEEE Trans. Automat. Control, 60(8), pp. 2207-2212 (2015) doi:10.1109/TAC.2014.2368232
		Thomas Berger, Timo Reis Zero dynamics and funnel control for linear electrical circuits J. Franklin Inst., 351(11), pp. 5099-5132 (2014) doi:10.1016/j.jfranklin.2014.08.006
		Timo Reis, Tilman Selig Balancing transformations for infinite-dimensional systems with nuclear Hankel operator Integr. Equ. Oper. Theory 79(1), pp. 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), pp. 4084-4117 (2013) doi:10.1137/120885310
		Federico Poloni, Timo Reis A deflation approach for large-scale Lur'e equations SIAM. J. Matrix Anal. Appl. 33(4), pp. 1339-1368 (2012) doi:10.1137/120861679
		Thomas Berger, Achim Ilchmann, Timo Reis Zero dynamics and funnel control of linear differential-algebraic systems Math. Control Signals Systems, 24(3), pp. 219-263 (2012) doi:10.1007/s00498-012-0085-z
		Jens Möckel, Timo Reis, Tatjana Stykel Linear-quadratic Gaussian balancing for model reduction of differential-algebraic systems Internat. J. Control, 84(10), pp. 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), pp. 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), pp. 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), pp. 69-74 (2011) doi:10.1016/j.sysconle.2010.10.009
		Timo Reis Lur'e equations and even matrix pencils Linear Algebra Appl., 434(1), pp. 152-173 (2011) doi:10.1016/j.laa.2010.09.005
		Timo Reis, Tatjana Stykel PABTEC: Passivity-preserving balanced truncation for electrical circuits IEEE Trans. Computer-Aided Design Integr. Circuits Syst., 29(9), pp. 1354-1367 (2010) doi:10.1109/TCAD.2010.2059330
		Timo Reis Circuit synthesis of passive descriptor systems - a modified nodal approach Int. J. Circ. Theor. Appl., 38(1), pp. 44-68 (2010) doi:10.1002/cta.532
		Timo Reis, Tatjana Stykel Positive real and bounded real balancing for model reduction of descriptor systems Internat. J. Control, 82(1), pp. 74-88 (2010) doi:10.1080/00207170903100214
		Timo Reis, Elena Virnik Positivity preserving balanced truncation for descriptor systems SIAM J. Control Optim., 48(4), pp. 2600-2619 (2009) doi:10.1137/080734200
		Michael Hanke, Timo Reis The perturbation and ADAE index of a degenerated hyperbolic system modelling a heat exchanger Res. Math., 53(1-2), pp. 103-127 (2009) doi:10.1007/s00025-008-0304-6
		Philip Losse, Volker Mehrmann, Lisa Poppe, Timo Reis The modified optimal H_∞ control problem for descriptor systems SIAM J. Control Optim., 48(4), pp. 2600-2619 (2009) doi:10.1137/070710093
		Timo Reis, Tatjana Stykel Balanced truncation model reduction of second-order systems Math. Comput. Model. Dyn. Syst., 14(5), pp. 391-406 (2009) doi:10.1080/13873950701844170
		Timo Reis Controllability and observability of infinite dimensional descriptor systems IEEE Trans. Automat. Control, 53(4), pp. 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), pp. 255-281 (2007) doi:10.1007/s00498-007-0013-9
		Timo Reis, Tatjana Stykel Stability analysis and model order reduction for coupled systems Math. Comput. Model. Dyn. Syst., 13(5), pp. 413-436 (2007) doi:10.1080/13873950701189071
		Timo Reis, Caren Tischendorf Frequency domain methods and decoupling of linear infinite dimensional differential algebraic systems J. Evol. Equ., 5(3), pp. 357-385 (2005) doi:10.1007/s00028-005-0198-7
Edited Books:
		Sara Grundel, Timo Reis, Sebastian Schöps Progress in Differential-Algebraic Equations II Differential-Algebraic Equations Forum, Springer-Verlag, Berlin/Heidelberg (2020) doi:10.1007/978-3-030-53905-4
		Stephen Campbell, Achim Ilchmann, Volker Mehrmann, Timo Reis Applications of Differential-Algebraic Equations: Examples and Benchmarks Differential-Algebraic Equations Forum, Springer-Verlag, Berlin/Heidelberg (2019) doi:10.1007/10.1007/978-3-030-03718-5
		Achim Ilchmann, Timo Reis Surveys in Differential-Algebraic Equations IV Differential-Algebraic Equations Forum, Springer-Verlag, Berlin/Heidelberg (2017) doi:10.1007/978-3-319-46618-7
		Achim Ilchmann, Timo Reis Surveys in Differential-Algebraic Equations III Differential-Algebraic Equations Forum, Springer-Verlag, Berlin/Heidelberg (2015) doi:10.1007/978-3-319-22428-2
		Achim Ilchmann, Timo Reis Surveys in Differential-Algebraic Equations II Differential-Algebraic Equations Forum, Springer-Verlag, Berlin/Heidelberg (2015) doi:10.1007/978-3-319-11050-9
		Achim Ilchmann, Timo Reis Surveys in Differential-Algebraic Equations I Differential-Algebraic Equations Forum, Springer-Verlag, Berlin/Heidelberg (2013) doi:10.1007/978-3-642-34928-7
Book chapters:
		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) doi:10.1007/978-3-030-53905-4_8
		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, pp. 161-219, Differential-Algebraic Equations Forum, Springer-Verlag, Berlin/Heidelberg (2017) doi:10.1007/978-3-319-46618-7_4
		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, pp. 435-462 Springer-Verlag, Berlin/Heidelberg (2015) doi:10.1007/978-3-319-15260-8_18
		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, pp. 125-198 Modeling and Simulation in Science, Engineering and Technology, Birkhäuser, Basel, (2014) doi:10.1007/978-3-319-08437-4_2
		Thomas Berger, Timo Reis Controllability of linear differential-algebraic systems - a survey A. Ilchmann and T. Reis (eds): Surveys in Differential-Algebraic Equations I, pp. 1-63, Differential-Algebraic Equations Forum, Springer-Verlag, Berlin/Heidelberg (2013) doi:10.1007/978-3-642-34928-7_1
		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, pp. 127-164 Advances in Design and Control, SIAM publishing, Philadelphia, PA, (2012) doi:10.1137/9781611972252.ch7
		Timo Reis, Tatjana Stykel Passivity-preserving balanced truncation model reduction of circuit equations J. Roos and L. Costa (eds): Scientific Computing in Electrical Engineering, pp. 483-490, Mathematics in Industry, Vol. 14, Springer-Verlag, Berlin/Heidelberg (2010) doi:10.1007/978-3-642-12294-1_59
		Timo Reis, Elena Virnik Positivity preserving model reduction R. Bru, S. Romero-Vivo (eds): Positive Systems, pp. 131-139, Lecture Notes in Control and Information Sciences, Vol. 389, Springer-Verlag, Berlin/Heidelberg (2009) doi:10.1007/978-3-642-02894-6_13
		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, pp. 133-155, Mathematics in Industry, Vol. 13, Springer-Verlag, Berlin/Heidelberg (2008) doi:10.1007/978-3-540-78841-6_7
Miscellaneous:
		Achim Ilchmann, Timo Reis Foreword by the editors R. Lamour, R. März, C. Tischendorf: Differential-Algebraic Equations: A Projector Based Analysis, pp. v-vi, Differential-Algebraic Equations Forum, Springer-Verlag, Berlin/Heidelberg (2013) doi:10.1007/978-3-642-27555-5
Conference proceedings:
		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, 19(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) doi:10.1002/pamm.201800059
		Thomas Berger, Lê Huy Hoàng, Timo Reis Funnel control for overhead crane model Proceedings in Applied Mathematics and Mechanics, 18(1) (2018) doi:10.1002/pamm.201800041
		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), pp. 815-816 (2016), doi:10.1002/pamm.201610396
		Timo Reis, Matthias Voigt Inner-Outer Factorization via Lur'e Equations Proceedings in Applied Mathematics and Mechanics, 16(1), pp. 829-830 (2016), doi:10.1002/pamm.201610403
		Timo Reis Balanced truncation model reduction for infinite-dimensional linear systems Oberwolfach Reports 50/2015, p. 21 (2015) PDF
		Timo Reis, Matthias Voigt The Kalman-Yakubovich-Popov inequality for descriptor systems Proceedings in Applied Mathematics and Mechanics, 15(1), pp. 645-646 (2015), doi:10.1002/pamm.201510312
		Thomas Berger, Timo Reis Funnel control for electrical circuits Proceedings in Applied Mathematics and Mechanics, 14(1), pp. 3-6 (2014) doi:10.1002/pamm.201410002
		Timo Reis, Matthias Voigt The dissipation inequality for differential-algebraic equations Proceedings in Applied Mathematics and Mechanics, 14(1), pp. 11-14 (2014) doi:10.1002/pamm.201410004
		Timo Reis, Olaf Rendel Numerical Solution of singular Lur'e equations Proceedings in Applied Mathematics and Mechanics, 14(1), pp. 829-830 (2014) doi:10.1002/pamm.201410395
		Timo Reis, Matthias Voigt Solution of descriptor Lur'e equations via even matrix pencils Proceedings in Applied Mathematics and Mechanics, 14(1), pp. 925-926 (2014) doi:10.1002/pamm.201410443
		Thomas Berger, Timo Reis Structural properties of positive real and reciprocal rational matrices Proceedings of the MTNS 2014 (2014) PDF
		Thomas Berger, Achim Ilchmann, Timo Reis Funnel control for nonlinear functional differential-algebraic systems Proceedings of the MTNS 2014 (2014) PDF
		Timo Reis, Tilman Selig Balancing transformations for infinite-dimensional control systems Proceedings in Applied Mathematics and Mechanics, 13(1), pp. 465-466 (2013) doi:10.1002/pamm.201310225
		Timo Reis, Winnifried Wollner Iterative solution of operator Lyapunov equations arising in heat transfer Proceedings of the ECC 2013 (2012) PDF
		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) PDF
		Timo Reis Solution of Lur'e equations via deflating subspaces Proceedings of the CCCA 2011, pp. 1-4 (2011) doi:10.1109/CCCA.2011.6031202
		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 Proceedings of the MTNS 2010 (2010) PDF
		Timo Reis, Tatjana Stykel The PABTEC algorithm for passivity-preserving model reduction of circuit equations Proceedings 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, pp. 5376-5383 (2009) doi:10.1109/CDC.2009.5400606
		Philip Losse, Timo Reis H_∞ control for descriptor dystems - a structured matrix pencils approach Proceedings of the CDC 2009, pp. 103-108 (2009) doi:10.1109/CDC.2009.5400245
		Birgit Jacob, Timo Reis Passivity criteria for infinite-dimensional descriptor systems Proceedings in Applied Mathematics and Mechanics, 8(1), pp. 10073-10076 (2008) doi:10.1002/pamm.200810073
		Birgit Jacob, Timo Reis Passive infinite-dimensional descriptor systems Proceedings of the MTNS 2008 (2008) PDF
		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) PDF
		Timo Reis A modified nodal approach to circuit synthesis Proceedings in Applied Mathematics and Mechanics, 7(1), pp. 2020037-2020038 (2007) doi:10.1002/pamm.200700213
		Timo Reis, Tatjana Stykel Passivity-preserving model reduction of circuit equations Proceedings in Applied Mathematics and Mechanics, 7(1), pp. 1021601-1021602 (2007) doi:10.1002/pamm.200700164
		Timo Reis Linear and time-invariant abstract differential-algebraic systems Oberwolfach Reports 18/2006, pp. 62-64 (2006) PDF
		Timo Reis Decoupling of abstract DAEs Proceedings in Applied Mathematics and Mechanics, 6(1), pp. 835-836 (2006) doi:10.1002/pamm.200610397
		Timo Reis Model reduction for a class of PDAE systems Proceedings in Applied Mathematics and Mechanics, 5(1), pp. 179-180 (2006) doi:10.1002/pamm.200510068
		Timo Reis An infinite dimensional descriptor system model for electrical circuits with transmission lines Proceedings of the MTNS 2004 (2004) PDF
		Timo Reis On error computation of symbolic approximates of parametrized dynamical systems Proceedings of the SMACD 2004 (2004) PDF
Theses:
		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), Shaker Verlag
		Timo Reis Model Reduction of Multidimensional Systems - with Applications to Electrical Circuits Diplomarbeit, Fachbereich Mathematik, Universität Kaiserslautern (2002)

Articles submitted to refereed journals:

Refereed articles in journals:

Edited Books:

Book chapters:

Miscellaneous:

Conference proceedings:

Theses: