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T. Breiten and B. Unger Passivity preserving model reduction via spectral factorization arXiv:2103.13194
T. Breiten, C. Hartmann, L. Neureither, and U. Sharma Stochastic gradient descent and fast relaxation to thermodynamic equilibrium: a stochastic control approach arXiv:2103.05096
T. Breiten and P. Schulze Structure-Preserving Linear Quadratic Gaussian Balanced Truncation for Port-Hamiltonian Descriptor Systems arXiv:2111.05065

Begutachtete Artikel in Zeitschriften
T. Breiten, R. Morandin, and P. Schulze Error bounds for port-Hamiltonian model and controller reduction based on system balancing Computers & Mathematics with Applications, in press. arXiv:2012.15266
T. Berger, T. Breiten, M. Puche, and T. Reis Funnel control for the monodomain equations with the FitzHugh-Nagumo model Journal of Differential Equations, 286:164-214, 2021. arXiv:1912.01847
T. Breiten and K. Kunisch Neural network based nonlinear observers Systems and Control Letters, 148:104829, 2021. arXiv:2003.07269.
T. Breiten, S. Dolgov, and M. Stoll Solving differential Riccati equations: A nonlinear space-time method using tensor trains Numerical Algebra, Control & Optimization,11(3): 407-429, 2021. arXiv:1912.06944
T. Breiten and K. Kunisch Feedback stabilization of the three-dimensional Navier-Stokes equations using generalized Lyapunov equations Discrete and Continuous Dynamical Systems - Series A, 40(7):4197–4229, 2020. arXiv:1909.13757
Tobias Breiten, Laurent Pfeiffer On the Turnpike Property and the Receding-Horizon Method for Linear-Quadratic Optimal Control Problems SIAM Journal on Control and Optimization, 58(2): 1077-1102, 2020. arXiv:1811.02421
Peter Benner, Tobias Breiten, Carsten Hartmann, Burkhard Schmidt Model reduction of controlled Fokker-Planck and Liouville-von Neumann equations Journal of Computational Dynamics, 7(1): 1-33, 2020. arXiv:1706.09882
Tobias Breiten, Karl Kunisch, Laurent Pfeiffer Feedback Stabilization of the Two-Dimensional Navier-Stokes Equations by Value Function Approximation Applied Mathematics & Optimization, 80(3): 599-641, 2019. arXiv:1902.00394
Tobias Breiten, Emil Ringh Residual-based iterations for the generalized Lyapunov equation BIT Numerical Mathematics 59(4) (2019), 823-852. arXiv:1807.10715
Tobias Breiten, Karl Kunisch, Laurent Pfeiffer: Taylor Expansions of the Value Function Associated with a Bilinear Optimal Control Problem Annales de l'Institut Henri Poincaré C, Analyse Non Linéaire 36(5) (2019), 1361-1399. arXiv:1706.05341
Tobias Breiten, Karl Kunisch, Laurent Pfeiffer Infinite-Horizon Bilinear Optimal Control Problems: Sensitivity Analysis and Polynomial Feedback Laws SIAM Journal on Control and Optimization 56(5) (2018), 3184-3214.
Tobias Breiten, Karl Kunisch, Laurent Pfeiffer Numerical Study of Polynomial Feedback Laws for a Bilinear Control Problem Mathematical Control and Related Fields 8(3&4) (2018), 557-582. arXiv:1709.04227
Tobias Breiten, Karl Kunisch, Laurent Pfeiffer Control Strategies for the Fokker-Planck Equation ESAIM: Control, Optimisation and Calculus of Variations 24(2) (2018), 741-763. arXiv:1707.07510
Tobias Breiten, Karl Kunisch, Sergio Rodrigues Feedback Stabilization to Non-Stationary Solutions of a Class of Reaction Diffusion Equations of Fitzhugh-Nagumo Type SIAM Journal on Control and Optimization 55(4) (2017), 2684-2713.
Tobias Breiten, Karl Kunisch Boundary Feedback Stabilization of the Monodomain Equations Mathematical Control and Related Fields 7(3) (2017), 369-391
Tobias Breiten, Karl Kunisch Compensator design for the monodomain equations with the FitzHugh-Nagumo model ESAIM: Control, Optimisation and Calculus of Variations 23(1) (2017), 241-262.
Tobias Breiten Structure-preserving model reduction for integro-differential equations SIAM Journal on Control and Optimization 54(6) (2016), 2992-3015.
Tobias Breiten, Valeria Simoncini, Martin Stoll Low-rank solvers for fractional differential equations Electronic Transactions on Numerical Analysis 45 (2016), 107-132.
Tobias Breiten, Christopher Beattie, Serkan Gugercin Near-optimal frequency-weighted interpolatory model reduction Systems & Control Letters 78 (2015), 8-18. arXiv:1309.0136
Peter Benner, Tobias Breiten Two-sided projection methods for nonlinear model order reduction SIAM Journal on Scientific Computing 37(2) (2015), B239-B260.
Martin Stoll, Tobias Breiten A low-rank in time approach to PDE-constrained optimization SIAM Journal on Scientific Computing 37(1) (2015), B1-B29.
Tobias Breiten, Karl Kunisch Riccati-based feedback control of the monodomain equations with the FitzHugh-Nagumo model SIAM Journal on Control and Optimization 52 (2014), 4057-4081.
Peter Benner, Tobias Breiten Rational interpolation methods for symmetric Sylvester equations Electronic Transactions on Numerical Analysis 42 (2014), 147-164.
Peter Benner, Tobias Breiten On optimality of approximate low rank solutions of large-scale matrix equations Systems & Control Letters 67 (2014), 55-64.
Peter Benner, Tobias Breiten Low rank methods for a class of generalized Lyapunov equations and related issues Numerische Mathematik 124 (2013), 441-470.
Peter Benner, Tobias Breiten Interpolation-Based ℋ₂-Model Reduction of Bilinear Control Systems SIAM Journal on Matrix Analysis and Applications 33 (2012), 859-885.
Peter Benner, Tobias Breiten, Tobias Damm Generalised tangential interpolation for model reduction of discrete-time MIMO bilinear systems International Journal of Control 84 (2011), 1398-1407.
Tobias Breiten, Tobias Damm Krylov subspace methods for model order reduction of bilinear control systems Systems & Control Letters 59 (2010), 443-450.

Begutachtete Artikel in Sammel- und Tagungsbänden
T. Breiten, K. Kunisch, and L. Pfeiffer A reduction method for Riccati-based control of the Fokker-Planck equation In 20th IFAC World Congress, volume 50, pages 1631–1636, 2017.
T. Breiten and K. Kunisch Feedback stabilization of the Schlögl model by LQG-balanced truncation In 2015 European Control Conference (ECC), pages 1171–1176, 2015.
P. Benner and T. Breiten Krylov-subspace based model reduction of nonlinear circuit models using bilinear and quadratic-linear approximations In Michael Günther, Andreas Bartel,Markus Brunk, Sebastian Schöps, and Michael Striebel, editors, Progress in Industrial Mathematics at ECMI 2010, volume 17 of Mathematics in Industry, pages 153–159. Springer Berlin Heidelberg, 2012.
P. Benner and T. Breiten On H2-model reduction of linear parameter-varying systems In Proceedings in Applied Mathematics and Mechanics, volume 11, pages 805–806. Wiley-VCH Verlag GmbH & Co, 2011.
P. Benner, T. Breiten, and T. Damm Krylov subspace methods for model order reduction of bilinear discrete-time control systems In Proceedings in Applied Mathematics and Mechanics, volume 10, pages 601–602. Wiley-VCH Verlag GmbH & Co, 2010.

Buchkapitel
T. Breiten, C. Beattie, and S. Gugercin ℋ₂-gap model reduction for stabilizable and detectable systems In C. Beattie, P. Benner, M. Embree, S. Gugercin, S. Lefteriu, editors, Realization and Model Reduction of Dynamical Systems - A Festschrift in Honor of 70th Birthday of Thanos Antoulas Springer, accepted 2020. arXiv:1909.13764
P. Benner and T. Breiten Chapter 6: Model order reduction based on system balancing In P. Benner, M. Ohlberger, A. Cohen, and K. Willcox, editors, Model Reduction and Approximation, pages 261–295. Society for Industrial and Applied Mathematics, 2017.
P. Benner, T. Breiten, and L. Feng Matrix equations and model reduction In W. Gao, Z. Bai and Y. Su, editors, Matrix Functions and Matrix Equations, volume 19 of Series in Contemporary Applied Mathematics, pages 50–75. World Scientific, 2015.

Qualifizierungsschriften
T. Breiten Feedback control of nonlinear infinite-dimensional control systems Cumulative habilitation thesis, University of Graz, 2018.
T. Breiten Interpolatory Methods for Model Reduction of Large-Scale Dynamical Systems Dissertation, Otto von Guericke University Magdeburg, 2013.
T. Breiten Krylov subspace methods for model order reduction of bilinear control systems Diplomarbeit, Department of Mathematics, Technical University of Kaiserslautern, 2009.