×
Author ID: breiten.tobias Recent zbMATH articles by "Breiten, Tobias"
Published as: Breiten, Tobias; Breiten, T.
Homepage: http://imsc.uni-graz.at/breiten/
External Links: MGP · GND

Publications by Year

Citations contained in zbMATH Open

34 Publications have been cited 481 times in 326 Documents Cited by Year
Interpolation-based \({\mathcal H}_2\)-model reduction of bilinear control systems. Zbl 1256.93027
Benner, Peter; Breiten, Tobias
64
2012
Krylov subspace methods for model order reduction of bilinear control systems. Zbl 1198.93055
Breiten, Tobias; Damm, Tobias
49
2010
Low rank methods for a class of generalized Lyapunov equations and related issues. Zbl 1266.65068
Benner, Peter; Breiten, Tobias
45
2013
A low-rank in time approach to PDE-constrained optimization. Zbl 1330.65153
Stoll, Martin; Breiten, Tobias
40
2015
Two-sided projection methods for nonlinear model order reduction. Zbl 1312.93016
Benner, Peter; Breiten, Tobias
40
2015
Low-rank solvers for fractional differential equations. Zbl 1338.65071
Breiten, Tobias; Simoncini, Valeria; Stoll, Martin
37
2016
Riccati-based feedback control of the monodomain equations with the Fitzhugh-Nagumo model. Zbl 1316.93047
Breiten, Tobias; Kunisch, Karl
23
2015
Generalised tangential interpolation for model reduction of discrete-time MIMO bilinear systems. Zbl 1230.93010
Benner, P.; Breiten, T.; Damm, T.
17
2011
Krylov-subspace based model reduction of nonlinear circuit models using bilinear and quadratic-linear approximations. Zbl 1246.78035
Benner, Peter; Breiten, Tobias
16
2012
Feedback stabilization to nonstationary solutions of a class of reaction diffusion equations of Fitzhugh-Nagumo type. Zbl 1370.35176
Breiten, Tobias; Kunisch, Karl; Rodrigues, Sérgio S.
15
2017
On the turnpike property and the receding-horizon method for linear-quadratic optimal control problems. Zbl 1437.49047
Breiten, Tobias; Pfeiffer, Laurent
15
2020
Control strategies for the Fokker-Planck equation. Zbl 1403.35298
Breiten, Tobias; Kunisch, Karl; Pfeiffer, Laurent
13
2018
Infinite-horizon bilinear optimal control problems: sensitivity analysis and polynomial feedback laws. Zbl 1401.49004
Breiten, Tobias; Kunisch, Karl; Pfeiffer, Laurent
12
2018
Structure-preserving model reduction for integro-differential equations. Zbl 1350.93025
Breiten, Tobias
10
2016
Near-optimal frequency-weighted interpolatory model reduction. Zbl 1320.93028
Breiten, Tobias; Beattie, Christopher; Gugercin, Serkan
10
2015
On optimality of approximate low rank solutions of large-scale matrix equations. Zbl 1292.65040
Benner, Peter; Breiten, Tobias
9
2014
Compensator design for the monodomain equations with the FitzHugh-Nagumo model. Zbl 1371.35153
Breiten, Tobias; Kunisch, Karl
8
2017
Feedback stabilization of the two-dimensional Navier-Stokes equations by value function approximation. Zbl 1425.35135
Breiten, Tobias; Kunisch, Karl; Pfeiffer, Laurent
8
2019
Taylor expansions of the value function associated with a bilinear optimal control problem. Zbl 1420.49005
Breiten, Tobias; Kunisch, Karl; Pfeiffer, Laurent
8
2019
Funnel control for the monodomain equations with the FitzHugh-Nagumo model. Zbl 1462.35174
Berger, Thomas; Breiten, Tobias; Puche, Marc; Reis, Timo
7
2021
Numerical study of polynomial feedback laws for a bilinear control problem. Zbl 1418.49002
Breiten, Tobias; Kunisch, Karl; Pfeiffer, Laurent
6
2018
Interpolatory methods for model reduction of large-scale dynamical systems. Zbl 1283.93003
Breiten, Tobias
5
2013
Passivity preserving model reduction via spectral factorization. Zbl 1494.93024
Breiten, Tobias; Unger, Benjamin
5
2022
Solving differential Riccati equations: a nonlinear space-time method using tensor trains. Zbl 1479.49070
Breiten, Tobias; Dolgov, Sergey; Stoll, Martin
4
2021
Error bounds for port-Hamiltonian model and controller reduction based on system balancing. Zbl 1524.93007
Breiten, Tobias; Morandin, Riccardo; Schulze, Philipp
4
2022
Balancing-related model reduction methods. Zbl 1505.93028
Breiten, Tobias; Stykel, Tatjana
2
2021
Feedback stabilization of the three-dimensional Navier-Stokes equations using generalized Lyapunov equations. Zbl 1434.35086
Breiten, Tobias; Kunisch, Karl
2
2020
Matrix equations and model reduction. Zbl 1332.65083
Benner, Peter; Breiten, Tobias; Feng, Lihong
1
2015
Rational interpolation methods for symmetric Sylvester equations. Zbl 1312.65067
Benner, Peter; Breiten, Tobias
1
2014
Boundary feedback stabilization of the monodomain equations. Zbl 1366.35081
Breiten, Tobias; Kunisch, Karl
1
2017
Neural network based nonlinear observers. Zbl 1478.93220
Breiten, Tobias; Kunisch, Karl
1
2021
Stochastic gradient descent and fast relaxation to thermodynamic equilibrium: a stochastic control approach. Zbl 1491.82014
Breiten, Tobias; Hartmann, Carsten; Neureither, Lara; Sharma, Upanshu
1
2021
Residual-based iterations for the generalized Lyapunov equation. Zbl 1507.65073
Breiten, Tobias; Ringh, Emil
1
2019
Model reduction of controlled Fokker-Planck and Liouville-von Neumann equations. Zbl 1448.93039
Benner, Peter; Breiten, Tobias; Hartmann, Carsten; Schmidt, Burkhard
1
2020
Passivity preserving model reduction via spectral factorization. Zbl 1494.93024
Breiten, Tobias; Unger, Benjamin
5
2022
Error bounds for port-Hamiltonian model and controller reduction based on system balancing. Zbl 1524.93007
Breiten, Tobias; Morandin, Riccardo; Schulze, Philipp
4
2022
Funnel control for the monodomain equations with the FitzHugh-Nagumo model. Zbl 1462.35174
Berger, Thomas; Breiten, Tobias; Puche, Marc; Reis, Timo
7
2021
Solving differential Riccati equations: a nonlinear space-time method using tensor trains. Zbl 1479.49070
Breiten, Tobias; Dolgov, Sergey; Stoll, Martin
4
2021
Balancing-related model reduction methods. Zbl 1505.93028
Breiten, Tobias; Stykel, Tatjana
2
2021
Neural network based nonlinear observers. Zbl 1478.93220
Breiten, Tobias; Kunisch, Karl
1
2021
Stochastic gradient descent and fast relaxation to thermodynamic equilibrium: a stochastic control approach. Zbl 1491.82014
Breiten, Tobias; Hartmann, Carsten; Neureither, Lara; Sharma, Upanshu
1
2021
On the turnpike property and the receding-horizon method for linear-quadratic optimal control problems. Zbl 1437.49047
Breiten, Tobias; Pfeiffer, Laurent
15
2020
Feedback stabilization of the three-dimensional Navier-Stokes equations using generalized Lyapunov equations. Zbl 1434.35086
Breiten, Tobias; Kunisch, Karl
2
2020
Model reduction of controlled Fokker-Planck and Liouville-von Neumann equations. Zbl 1448.93039
Benner, Peter; Breiten, Tobias; Hartmann, Carsten; Schmidt, Burkhard
1
2020
Feedback stabilization of the two-dimensional Navier-Stokes equations by value function approximation. Zbl 1425.35135
Breiten, Tobias; Kunisch, Karl; Pfeiffer, Laurent
8
2019
Taylor expansions of the value function associated with a bilinear optimal control problem. Zbl 1420.49005
Breiten, Tobias; Kunisch, Karl; Pfeiffer, Laurent
8
2019
Residual-based iterations for the generalized Lyapunov equation. Zbl 1507.65073
Breiten, Tobias; Ringh, Emil
1
2019
Control strategies for the Fokker-Planck equation. Zbl 1403.35298
Breiten, Tobias; Kunisch, Karl; Pfeiffer, Laurent
13
2018
Infinite-horizon bilinear optimal control problems: sensitivity analysis and polynomial feedback laws. Zbl 1401.49004
Breiten, Tobias; Kunisch, Karl; Pfeiffer, Laurent
12
2018
Numerical study of polynomial feedback laws for a bilinear control problem. Zbl 1418.49002
Breiten, Tobias; Kunisch, Karl; Pfeiffer, Laurent
6
2018
Feedback stabilization to nonstationary solutions of a class of reaction diffusion equations of Fitzhugh-Nagumo type. Zbl 1370.35176
Breiten, Tobias; Kunisch, Karl; Rodrigues, Sérgio S.
15
2017
Compensator design for the monodomain equations with the FitzHugh-Nagumo model. Zbl 1371.35153
Breiten, Tobias; Kunisch, Karl
8
2017
Boundary feedback stabilization of the monodomain equations. Zbl 1366.35081
Breiten, Tobias; Kunisch, Karl
1
2017
Low-rank solvers for fractional differential equations. Zbl 1338.65071
Breiten, Tobias; Simoncini, Valeria; Stoll, Martin
37
2016
Structure-preserving model reduction for integro-differential equations. Zbl 1350.93025
Breiten, Tobias
10
2016
A low-rank in time approach to PDE-constrained optimization. Zbl 1330.65153
Stoll, Martin; Breiten, Tobias
40
2015
Two-sided projection methods for nonlinear model order reduction. Zbl 1312.93016
Benner, Peter; Breiten, Tobias
40
2015
Riccati-based feedback control of the monodomain equations with the Fitzhugh-Nagumo model. Zbl 1316.93047
Breiten, Tobias; Kunisch, Karl
23
2015
Near-optimal frequency-weighted interpolatory model reduction. Zbl 1320.93028
Breiten, Tobias; Beattie, Christopher; Gugercin, Serkan
10
2015
Matrix equations and model reduction. Zbl 1332.65083
Benner, Peter; Breiten, Tobias; Feng, Lihong
1
2015
On optimality of approximate low rank solutions of large-scale matrix equations. Zbl 1292.65040
Benner, Peter; Breiten, Tobias
9
2014
Rational interpolation methods for symmetric Sylvester equations. Zbl 1312.65067
Benner, Peter; Breiten, Tobias
1
2014
Low rank methods for a class of generalized Lyapunov equations and related issues. Zbl 1266.65068
Benner, Peter; Breiten, Tobias
45
2013
Interpolatory methods for model reduction of large-scale dynamical systems. Zbl 1283.93003
Breiten, Tobias
5
2013
Interpolation-based \({\mathcal H}_2\)-model reduction of bilinear control systems. Zbl 1256.93027
Benner, Peter; Breiten, Tobias
64
2012
Krylov-subspace based model reduction of nonlinear circuit models using bilinear and quadratic-linear approximations. Zbl 1246.78035
Benner, Peter; Breiten, Tobias
16
2012
Generalised tangential interpolation for model reduction of discrete-time MIMO bilinear systems. Zbl 1230.93010
Benner, P.; Breiten, T.; Damm, T.
17
2011
Krylov subspace methods for model order reduction of bilinear control systems. Zbl 1198.93055
Breiten, Tobias; Damm, Tobias
49
2010
all top 5

Cited by 415 Authors

39 Benner, Peter
26 Kunisch, Karl
23 Breiten, Tobias
23 Jiang, Yaolin
16 Gugercin, Serkan
12 Redmann, Martin
12 Stoll, Martin
11 Goyal, Pawan
9 Simoncini, Valeria
8 Ahmad, Mian Ilyas
8 Palitta, Davide
8 Rodrigues, Sérgio S.
8 Willcox, Karen E.
8 Xu, Kangli
7 Dolgov, Sergey V.
6 Beattie, Christopher A.
6 Gosea, Ion Victor
6 Maksimov, Vyacheslav Ivanovich
6 Pfeiffer, Laurent
6 Wang, Xiaolong
5 Azmi, Behzad
5 Chen, Hao
5 Krämer, Boris
5 Lei, Siulong
5 Pontes Duff, Igor
5 Xiao, Zhihua
4 Feng, Lihong
4 Kalise, Dante
4 Karasözen, Bülent
4 Kürschner, Patrick
4 Liang, Zhaozheng
4 Onwunta, Akwum
4 Peherstorfer, Benjamin
4 Pulch, Roland
4 Uzunca, Murat
4 Yücel, Hamdullah
3 Antoulas, Athanasios C.
3 Cao, Xingang
3 Casas, Eduardo
3 Chou, Lot-Kei
3 Damm, Tobias
3 Du, Xin
3 Grüne, Lars
3 Haasdonk, Bernard
3 Hackbusch, Wolfgang
3 Hartmann, Carsten
3 Li, Zhen
3 Lü, Wen
3 Massei, Stefano
3 Pearson, John W.
3 Qi, Zhen-Zhong
3 Qian, Elizabeth
3 Robol, Leonardo
3 Saak, Jens
3 Schilders, Wil H. A.
3 Schwenninger, Felix L.
3 Song, Qiu-Yan
3 Sreeram, Victor
3 Szyld, Daniel B.
3 Tröltzsch, Fredi
3 Wang, Hong
3 Werner, Steffen W. R.
3 Yıldız, Süleyman
3 Zhang, Guofeng
3 Zulfiqar, Umair
2 Alla, Alessandro
2 Baur, Ulrike
2 Becker, Simon
2 Biros, George
2 Bünger, Alexandra
2 Çiloğlu, Pelin
2 Cordoni, Francesco Giuseppe
2 Court, Sébastien
2 Dehghan Takht Fooladi, Mehdi
2 Di Persio, Luca
2 Diaz, Alejandro N.
2 Drmač, Zlatko
2 Eghtesad, Mohammad
2 Elman, Howard C.
2 Fan, Hung-Yuan
2 Fleig, Arthur
2 Freitag, Melina A.
2 Grafke, Tobias
2 Grauer, Rainer
2 Grundel, Sara M.
2 Heiland, Jan
2 Heinkenschloss, Matthias
2 Hesthaven, Jan S.
2 Hinze, Michael
2 Holtmannspötter, Marita
2 Hou, Liangshao
2 Huang, Qiuyue
2 Huang, Yun-Chi
2 King-wah Chu, Eric
2 Kressner, Daniel
2 Lee, Kookjin
2 Liljegren-Sailer, Björn
2 Lohmann, Boris
2 Mahmoodi, Masih
2 Mang, Andreas
...and 315 more Authors
all top 5

Cited in 94 Serials

22 SIAM Journal on Scientific Computing
15 SIAM Journal on Control and Optimization
14 Journal of the Franklin Institute
11 SIAM Journal on Matrix Analysis and Applications
10 Advances in Computational Mathematics
9 International Journal of Control
9 Applied Mathematics and Computation
8 Computers & Mathematics with Applications
8 Journal of Computational and Applied Mathematics
8 Systems & Control Letters
8 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
8 International Journal of Systems Science. Principles and Applications of Systems and Integration
6 BIT
6 Linear Algebra and its Applications
6 Evolution Equations and Control Theory
5 Computer Methods in Applied Mechanics and Engineering
5 Journal of Computational Physics
5 Applied Mathematics and Optimization
5 Automatica
5 Journal of Scientific Computing
5 Mathematical and Computer Modelling of Dynamical Systems
5 Mathematical Control and Related Fields
4 Mathematics and Computers in Simulation
4 Applied Numerical Mathematics
4 MCSS. Mathematics of Control, Signals, and Systems
4 Numerical Algorithms
4 Applied Mathematical Modelling
4 Discrete and Continuous Dynamical Systems
4 Vietnam Journal of Mathematics
4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
4 Acta Numerica
3 Journal of Differential Equations
3 International Journal of Computer Mathematics
3 Oberwolfach Reports
3 GAMM-Mitteilungen
3 SIAM/ASA Journal on Uncertainty Quantification
2 Calcolo
2 Numerische Mathematik
2 SIAM Journal on Numerical Analysis
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Computational Mechanics
2 Numerical Methods for Partial Differential Equations
2 SIAM Review
2 Computational and Applied Mathematics
2 European Journal of Control
2 Differential Equations
2 SIAM Journal on Applied Dynamical Systems
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Numerical Algebra, Control and Optimization
2 Journal of Computational Dynamics
2 AIMS Mathematics
2 Electronic Research Archive
1 Computer Physics Communications
1 Journal of Mathematical Analysis and Applications
1 Journal of Statistical Physics
1 Chaos, Solitons and Fractals
1 Canadian Mathematical Bulletin
1 International Journal for Numerical Methods in Engineering
1 Journal of Pure and Applied Algebra
1 Chinese Annals of Mathematics. Series B
1 Physica D
1 Applied Mathematics Letters
1 Neural Networks
1 Computational Mathematics and Mathematical Physics
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 SIAM Journal on Mathematical Analysis
1 International Journal of Robust and Nonlinear Control
1 Numerical Linear Algebra with Applications
1 Journal of Inverse and Ill-Posed Problems
1 ETNA. Electronic Transactions on Numerical Analysis
1 Applied Mathematical Finance
1 Journal of Difference Equations and Applications
1 Electronic Journal of Probability
1 Computing and Visualization in Science
1 Multibody System Dynamics
1 Soft Computing
1 Discrete Dynamics in Nature and Society
1 International Journal of Applied Mathematics and Computer Science
1 Computational Geosciences
1 Archives of Computational Methods in Engineering
1 Journal of Systems Science and Complexity
1 Computational Methods in Applied Mathematics
1 Journal of Machine Learning Research (JMLR)
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Proceedings of the Steklov Institute of Mathematics
1 Journal of Physics A: Mathematical and Theoretical
1 Networks and Heterogeneous Media
1 Numerical Mathematics: Theory, Methods and Applications
1 SIAM Journal on Financial Mathematics
1 The Journal of Mathematical Neuroscience
1 Journal of Mathematical Modeling
1 Modern Stochastics. Theory and Applications
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
1 Results in Applied Mathematics

Citations by Year