Breiten, Tobias; Höveler, Bernhard On the approximability of Koopman-based operator Lyapunov equations. (English) Zbl 07755484 SIAM J. Control Optim. 61, No. 5, 3131-3155 (2023). MSC: 93D30 93C10 93B28 47D06 PDFBibTeX XMLCite \textit{T. Breiten} and \textit{B. Höveler}, SIAM J. Control Optim. 61, No. 5, 3131--3155 (2023; Zbl 07755484) Full Text: DOI arXiv
Breiten, Tobias; Beattie, Christopher; Gugercin, Serkan \(\mathcal{H}_2\)-gap model reduction for stabilizable and detectable systems. (English) Zbl 1504.93034 Beattie, Christopher (ed.) et al., Realization and model reduction of dynamical systems. A festschrift in honor of the 70th birthday of Thanos Antoulas. Cham: Springer. 317-334 (2022). MSC: 93B11 93C05 76D05 PDFBibTeX XMLCite \textit{T. Breiten} et al., in: Realization and model reduction of dynamical systems. A festschrift in honor of the 70th birthday of Thanos Antoulas. Cham: Springer. 317--334 (2022; Zbl 1504.93034) Full Text: DOI arXiv
Breiten, Tobias; Unger, Benjamin Passivity preserving model reduction via spectral factorization. (English) Zbl 1494.93024 Automatica 142, Article ID 110368, 12 p. (2022). MSC: 93B11 93B70 93D20 93C05 PDFBibTeX XMLCite \textit{T. Breiten} and \textit{B. Unger}, Automatica 142, Article ID 110368, 12 p. (2022; Zbl 1494.93024) Full Text: DOI arXiv
Breiten, Tobias; Stykel, Tatjana Balancing-related model reduction methods. (English) Zbl 1505.93028 Benner, Peter (ed.) et al., Model order reduction. Volume 1: System- and data-driven methods and algorithms. Berlin: De Gruyter. 15-56 (2021). MSC: 93B11 65F45 93C80 PDFBibTeX XMLCite \textit{T. Breiten} and \textit{T. Stykel}, in: Model order reduction. Volume 1: System- and data-driven methods and algorithms. Berlin: De Gruyter. 15--56 (2021; Zbl 1505.93028) Full Text: DOI
Breiten, Tobias; Kunisch, Karl; Pfeiffer, Laurent Feedback stabilization of the two-dimensional Navier-Stokes equations by value function approximation. (English) Zbl 1425.35135 Appl. Math. Optim. 80, No. 3, 599-641 (2019). MSC: 35Q30 49J20 49N35 93D05 93D15 PDFBibTeX XMLCite \textit{T. Breiten} et al., Appl. Math. Optim. 80, No. 3, 599--641 (2019; Zbl 1425.35135) Full Text: DOI arXiv
Breiten, Tobias Structure-preserving model reduction for integro-differential equations. (English) Zbl 1350.93025 SIAM J. Control Optim. 54, No. 6, 2992-3015 (2016). MSC: 93B11 93C05 93A15 93C15 93B40 PDFBibTeX XMLCite \textit{T. Breiten}, SIAM J. Control Optim. 54, No. 6, 2992--3015 (2016; Zbl 1350.93025) Full Text: DOI
Breiten, Tobias; Beattie, Christopher; Gugercin, Serkan Near-optimal frequency-weighted interpolatory model reduction. (English) Zbl 1320.93028 Syst. Control Lett. 78, 8-18 (2015). MSC: 93B11 PDFBibTeX XMLCite \textit{T. Breiten} et al., Syst. Control Lett. 78, 8--18 (2015; Zbl 1320.93028) Full Text: DOI arXiv
Benner, Peter; Breiten, Tobias Two-sided projection methods for nonlinear model order reduction. (English) Zbl 1312.93016 SIAM J. Sci. Comput. 37, No. 2, B239-B260 (2015). MSC: 93A15 93C10 93C15 15A69 PDFBibTeX XMLCite \textit{P. Benner} and \textit{T. Breiten}, SIAM J. Sci. Comput. 37, No. 2, B239--B260 (2015; Zbl 1312.93016) Full Text: DOI
Benner, Peter; Breiten, Tobias On optimality of approximate low rank solutions of large-scale matrix equations. (English) Zbl 1292.65040 Syst. Control Lett. 67, 55-64 (2014). MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{P. Benner} and \textit{T. Breiten}, Syst. Control Lett. 67, 55--64 (2014; Zbl 1292.65040) Full Text: DOI
Benner, Peter; Breiten, Tobias Low rank methods for a class of generalized Lyapunov equations and related issues. (English) Zbl 1266.65068 Numer. Math. 124, No. 3, 441-470 (2013). MSC: 65F30 PDFBibTeX XMLCite \textit{P. Benner} and \textit{T. Breiten}, Numer. Math. 124, No. 3, 441--470 (2013; Zbl 1266.65068) Full Text: DOI
Benner, Peter; Breiten, Tobias Krylov-subspace based model reduction of nonlinear circuit models using bilinear and quadratic-linear approximations. (English) Zbl 1246.78035 Günther, Michael (ed.) et al., Progress in industrial mathematics at ECMI 2010. Proceedings of the 16th European conference on mathematics for industry, Wuppertal, Germany, July 26–30, 2010. Berlin: Springer (ISBN 978-3-642-25099-6/hbk; 978-3-642-25100-9/ebook). Mathematics in Industry 17, 153-159 (2012). MSC: 78M34 78A55 93B18 65H10 PDFBibTeX XMLCite \textit{P. Benner} and \textit{T. Breiten}, Math. Ind. 17, 153--159 (2012; Zbl 1246.78035) Full Text: DOI Link