Tobias Breiten

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Peter BennerMax Planck Institute for Dynamics of Complex Technical SystemsVerified email at mpi-magdeburg.mpg.de
Karl KunischProfessor für MathematikVerified email at uni-graz.at
Laurent PfeifferInria-SaclayVerified email at polytechnique.edu
Martin StollTU ChemnitzVerified email at mathematik.tu-chemnitz.de
Tobias DammProfessor for Systems and Control Theory, University of Kaiserslautern, GermanyVerified email at mathematik.uni-kl.de
Valeria SimonciniProfessor of Numerical Analysis, Universita' di BolognaVerified email at unibo.it
Serkan GugercinClass of 1950 Professor of Mathematics, Virginia TechVerified email at vt.edu
Christopher BeattieProfessor of Mathematics, Virginia TechVerified email at vt.edu
Philipp SchulzeInstitute of Mathematics, Technische Universität BerlinVerified email at math.tu-berlin.de
Benjamin UngerIndependent Junior Research Group Leader, Universität StuttgartVerified email at simtech.uni-stuttgart.de
Timo ReisProfessor für Mathematik, Technische Universität IlmenauVerified email at tu-ilmenau.de
Thomas BergerJuniorprofessor, Mathematics, Universität PaderbornVerified email at math.upb.de
Carsten HartmannProfessor of Mathematics, BTU Cottbus-SenftenbergVerified email at b-tu.de
Attila KarsaiPhD Student, Technische Universität BerlinVerified email at math.tu-berlin.de
Sergey DolgovUniversity of BathVerified email at bath.ac.uk
Burkhard SchmidtResearcher, FU BerlinVerified email at fu-berlin.de
Emil RinghResearcher, Ericsson ResearchVerified email at ericsson.com
Alessandro BorghiPhD studentVerified email at tu-berlin.de

Tobias Breiten

Institute of Mathematics, Technical University of Berlin

Verified email at tu-berlin.de - Homepage

Optimal Control of PDEs Model Reduction Systems and Control Theory Numerical Linear Algebra Matrix Equations


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Interpolation-Based -Model Reduction of Bilinear Control Systems P Benner, T Breiten SIAM Journal on Matrix Analysis and Applications 33 (3), 859-885, 2012	193	2012
Two-sided projection methods for nonlinear model order reduction P Benner, T Breiten SIAM Journal on Scientific Computing 37 (2), B239-B260, 2015	152*	2015
Krylov subspace methods for model order reduction of bilinear control systems T Breiten, T Damm Systems & Control Letters 59 (8), 443-450, 2010	133	2010
Low rank methods for a class of generalized Lyapunov equations and related issues P Benner, T Breiten Numerische Mathematik 124 (3), 441-470, 2013	116	2013
A low-rank in time approach to PDE-constrained optimization M Stoll, T Breiten SIAM Journal on Scientific Computing 37 (1), B1-B29, 2015	74	2015
Low-rank solvers for fractional differential equations T Breiten, V Simoncini, M Stoll Electronic Transactions on Numerical Analysis 45, 107-132, 2016	62*	2016
Krylov-subspace based model reduction of nonlinear circuit models using bilinear and quadratic-linear approximations P Benner, T Breiten Progress in Industrial Mathematics at ECMI 2010, 153-159, 2012	51	2012
Near-optimal frequency-weighted interpolatory model reduction T Breiten, C Beattie, S Gugercin Systems & Control Letters 78, 8-18, 2015	44	2015
Generalised tangential interpolation for model reduction of discrete-time MIMO bilinear systems P Benner, T Breiten, T Damm International Journal of Control 84 (8), 1398-1407, 2011	43	2011
On H2-model reduction of linear parameter-varying systems P Benner, T Breiten Proceedings in Applied Mathematics and Mechanics, 2011	43*	2011
Riccati-based feedback control of the monodomain equations with the Fitzhugh--Nagumo model T Breiten, K Kunisch SIAM Journal on Control and Optimization 52 (6), 4057-4081, 2014	40	2014
On the turnpike property and the receding-horizon method for linear-quadratic optimal control problems T Breiten, L Pfeiffer SIAM Journal on Control and Optimization 58 (2), 1077-1102, 2020	33	2020
Interpolatory methods for model reduction of large-scale dynamical systems T Breiten Otto-von-Guericke Universität Magdeburg, 2013	33	2013
Taylor expansions of the value function associated with a bilinear optimal control problem T Breiten, K Kunisch, L Pfeiffer Annales de l'Institut Henri Poincaré C, Analyse Non Linéaire 36 (5), 1361-1399, 2019	29*	2019
Feedback stabilization to nonstationary solutions of a class of reaction diffusion equations of FitzHugh--Nagumo type T Breiten, K Kunisch, SS Rodrigues SIAM Journal on Control and Optimization 55 (4), 2684-2713, 2017	28	2017
On optimality of approximate low rank solutions of large-scale matrix equations P Benner, T Breiten Systems & Control Letters 67, 55-64, 2014	27*	2014
Control strategies for the Fokker-Planck equation T Breiten, K Kunisch, L Pfeiffer arXiv preprint arXiv:1707.07510, 2017	26	2017
Infinite-horizon bilinear optimal control problems: Sensitivity analysis and polynomial feedback laws T Breiten, K Kunisch, L Pfeiffer SIAM Journal on Control and Optimization 56 (5), 3184-3214, 2018	25	2018
Passivity preserving model reduction via spectral factorization T Breiten, B Unger Automatica 142, 110368, 2022	22	2022
Model order reduction based on system balancing P Benner, T Breiten SIAM 6, 261-295, 2017	21	2017

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