Fachbereich Mathematik 
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Articles submitted to refereed journals:

Marc Puche, Felix L. Schwenninger, Timo Reis
Constant-coefficient differential-algebraic operators and the Kronecker form
Hamburger Beiträge zur Angewandten Mathematik 2017-16, Hamburg, (2017) PDF
Thomas Berger, Timo Reis
The funnel pre-compensator
Hamburger Beiträge zur Angewandten Mathematik 2017-18, Hamburg, (2017) PDF
Timo Reis, Olaf Rendel
Numerical solution of matrix equations arising in linear-quadratic optimal control of differential-algebraic equations
Hamburger Beiträge zur Angewandten Mathematik 2016-36, Hamburg, (2016) PDF
Thomas Berger, Timo Reis
ODE observers for DAE systems
Hamburger Beiträge zur Angewandten Mathematik 2016-30, Hamburg, (2016) PDF
Timo Reis, Matthias Voigt
Inner-outer factorizations for differential-algebraic systems
Hamburger Beiträge zur Angewandten Mathematik 2015-31, Hamburg, (2015) PDF

Refereed articles in journals:

Thomas Berger, Timo Reis
Observers and dynamic controllers for linear differential-algebraic systems
to be published in SIAM J. Control Optim. (2017) PDF
Thomas Berger, Timo Reis
Funnel control via funnel precompensator for minimum phase systems with relative degree two
to be published in IEEE Trans. Automat. Control (2017) PDF
Thomas Berger, Lê Huy Hoang, Timo Reis
Funnel control for nonlinear systems with known strict relative degree
to be published in Automatica (2017) PDF
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) 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:

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

Surveys in Differential-Algebraic Equations I
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

Surveys in Differential-Algebraic Equations II
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

Surveys in Differential-Algebraic Equations III
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

Surveys in Differential-Algebraic Equations IV

Book chapters:

Thomas Berger, Timo Reis, Stephan Trenn
Observability of linear differential-algebraic systems - a survey
to appear in: A. Ilchmann and T. Reis (eds): Surveys in Differential-Algebraic Equations IV,
Differential-Algebraic Equations Forum, Springer-Verlag, Berlin/Heidelberg, (2016)
Preprint: Hamburger Beiträge zur Angewandten Mathematik 2015-13 PDF
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:

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)


 
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