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, RPTU Kaiserslautern-Landau, GermanyVerified email at mathematik.uni-kl.de
Serkan GugercinClass of 1950 Professor of Mathematics, Virginia TechVerified email at vt.edu
Benjamin UngerIndependent Junior Research Group Leader, Universität StuttgartVerified email at simtech.uni-stuttgart.de
Valeria SimonciniProfessor of Numerical Analysis, Universita' di BolognaVerified email at unibo.it
Philipp SchulzeInstitute of Mathematics, Technische Universität BerlinVerified email at math.tu-berlin.de
Christopher BeattieProfessor of Mathematics, Virginia TechVerified email at vt.edu
Attila KarsaiPhD Student, Technische Universität BerlinVerified email at math.tu-berlin.de
Carsten HartmannProfessor of Mathematics, BTU Cottbus-SenftenbergVerified email at b-tu.de
Timo ReisProfessor für Mathematik, Technische Universität IlmenauVerified email at tu-ilmenau.de
Thomas BergerJuniorprofessor, Mathematics, Universität PaderbornVerified email at math.upb.de
Sergey DolgovUniversity of BathVerified email at bath.ac.uk
Alessandro BorghiPhD student, TU BerlinVerified email at tu-berlin.de
Emil RinghResearcher, Ericsson ResearchVerified email at ericsson.com
Burkhard SchmidtResearcher, FU BerlinVerified email at fu-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	195	2012
Two-sided projection methods for nonlinear model order reduction P Benner, T Breiten SIAM Journal on Scientific Computing 37 (2), B239-B260, 2015	148	2015
Krylov subspace methods for model order reduction of bilinear control systems T Breiten, T Damm Systems & Control Letters 59 (8), 443-450, 2010	137	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	124	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	85	2015
Low-rank solvers for fractional differential equations T Breiten, V Simoncini, M Stoll Electronic Transactions on Numerical Analysis 45, 107-132, 2016	60	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
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	46	2014
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	45	2011
Near-optimal frequency-weighted interpolatory model reduction T Breiten, C Beattie, S Gugercin Systems & Control Letters 78, 8-18, 2015	43	2015
On H2-model reduction of linear parameter-varying systems P Benner, T Breiten Proceedings in Applied Mathematics and Mechanics, 2011	42*	2011
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	41	2020
Two-sided moment matching methods for nonlinear model reduction P Benner, T Breiten Max Planck Institute Magdeburg, 2012	39	2012
Passivity preserving model reduction via spectral factorization T Breiten, B Unger Automatica 142, 110368, 2022	37	2022
Interpolatory methods for model reduction of large-scale dynamical systems T Breiten Otto-von-Guericke Universität Magdeburg, 2013	34	2013
Control strategies for the Fokker− Planck equation T Breiten, K Kunisch, L Pfeiffer ESAIM: Control, Optimisation and Calculus of Variations 24 (2), 741-763, 2018	30	2018
Model order reduction based on system balancing P Benner, T Breiten Model Reduction and Approximation, 261-295, 2017	30	2017
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	30	2017
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	28	2019
Feedback stabilization of the two-dimensional Navier–Stokes equations by value function approximation T Breiten, K Kunisch, L Pfeiffer Applied Mathematics & Optimization 80, 599-641, 2019	25	2019

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