Tobias Breiten

Publication Activity (10 Years)

Years Active: 2010-2024
Publications (10 Years): 23

Top Topics

Differential Equations

Optimal Control Problems

Linear Quadratic

Top Venues

SIAM J. Control. Optim.

Syst. Control. Lett.

SIAM J. Sci. Comput.

Publications

Alessandro Borghi, Tobias Breiten, Serkan Gugercin
Balanced truncation with conformal maps. CoRR (2024)
Alessandro Borghi, Tobias Breiten
optimal rational approximation on general domains. Adv. Comput. Math. 50 (3) (2024)
Tobias Breiten, Bernhard Höveler
On the approximability of Koopman-based operator Lyapunov equations. CoRR (2023)
Alessandro Borghi, Tobias Breiten
H2 optimal model reduction on general domains. CoRR (2023)
Tobias Breiten, Bernhard Höveler
On the Approximability of Koopman-Based Operator Lyapunov Equations. SIAM J. Control. Optim. 61 (5) (2023)
Tobias Breiten, Attila Karsai
Structure-preserving H∞ control for port-Hamiltonian systems. Syst. Control. Lett. 174 (2023)
Tobias Breiten, Karl Kunisch
Improving the Convergence Rates for the Kinetic Fokker-Planck Equation by Optimal Control. SIAM J. Control. Optim. 61 (3) (2023)
Tobias Breiten, Dorothea Hinsen, Benjamin Unger
Towards a modeling class for port-Hamiltonian systems with time-delay. CoRR (2022)
Tobias Breiten, Riccardo Morandin, Philipp Schulze
Error bounds for port-Hamiltonian model and controller reduction based on system balancing. Comput. Math. Appl. 116 (2022)
Tobias Breiten, Benjamin Unger
Passivity preserving model reduction via spectral factorization. Autom. 142 (2022)
Tobias Breiten, Benjamin Unger
Passivity preserving model reduction via spectral factorization. CoRR (2021)
Tobias Breiten, Karl Kunisch
Neural network based nonlinear observers. Syst. Control. Lett. 148 (2021)
Tobias Breiten, Philipp Schulze
Structure-Preserving Linear Quadratic Gaussian Balanced Truncation for Port-Hamiltonian Descriptor Systems. CoRR (2021)
Tobias Breiten, Laurent Pfeiffer
On the Turnpike Property and the Receding-Horizon Method for Linear-Quadratic Optimal Control Problems. SIAM J. Control. Optim. 58 (2) (2020)
Tobias Breiten, Sergey Dolgov, Martin Stoll
Solving differential Riccati equations: A nonlinear space-time method using tensor trains. CoRR (2019)
Tobias Breiten, Christopher A. Beattie, Serkan Gugercin
-gap model reduction for stabilizable and detectable systems. CoRR (2019)
Tobias Breiten, Karl Kunisch, Laurent Pfeiffer
Infinite-Horizon Bilinear Optimal Control Problems: Sensitivity Analysis and Polynomial Feedback Laws. SIAM J. Control. Optim. 56 (5) (2018)
Tobias Breiten, Karl Kunisch, Sérgio S. Rodrigues
Feedback Stabilization to Nonstationary Solutions of a Class of Reaction Diffusion Equations of FitzHugh-Nagumo Type. SIAM J. Control. Optim. 55 (4) (2017)
Tobias Breiten
Structure-Preserving Model Reduction for Integro-Differential Equations. SIAM J. Control. Optim. 54 (6) (2016)
Peter Benner, Tobias Breiten
Two-Sided Projection Methods for Nonlinear Model Order Reduction. SIAM J. Sci. Comput. 37 (2) (2015)
Tobias Breiten, Karl Kunisch
Feedback stabilization of the Schlögl model by LQG-balanced truncation. ECC (2015)
Martin Stoll, Tobias Breiten
A Low-Rank in Time Approach to PDE-Constrained Optimization. SIAM J. Sci. Comput. 37 (1) (2015)
Tobias Breiten, Christopher A. Beattie, Serkan Gugercin
Near-optimal frequency-weighted interpolatory model reduction. Syst. Control. Lett. 78 (2015)
Peter Benner, Tobias Breiten
On optimality of approximate low rank solutions of large-scale matrix equations. Syst. Control. Lett. 67 (2014)
Tobias Breiten, Karl Kunisch
Riccati-Based Feedback Control of the Monodomain Equations With the Fitzhugh-Nagumo Model. SIAM J. Control. Optim. 52 (6) (2014)
Tobias Breiten, Christopher A. Beattie, Serkan Gugercin
Near-optimal Frequency-weighted Interpolatory Model Reduction. CoRR (2013)
Peter Benner, Tobias Breiten
Low rank methods for a class of generalized Lyapunov equations and related issues. Numerische Mathematik 124 (3) (2013)
Peter Benner, Tobias Breiten
-Model Reduction of Bilinear Control Systems. SIAM J. Matrix Anal. Appl. 33 (3) (2012)
Peter Benner, Tobias Breiten, Tobias Damm
Generalised tangential interpolation for model reduction of discrete-time MIMO bilinear systems. Int. J. Control 84 (8) (2011)
Tobias Breiten, Tobias Damm
Krylov subspace methods for model order reduction of bilinear control systems. Syst. Control. Lett. 59 (8) (2010)