Redmann, Martin; Pontes Duff, Igor Model order reduction for bilinear systems with non-zero initial states – different approaches with error bounds. (English) Zbl 1519.93043 Int. J. Control 96, No. 6, 1491-1504 (2023). MSC: 93B11 93C10 93B25 PDFBibTeX XMLCite \textit{M. Redmann} and \textit{I. Pontes Duff}, Int. J. Control 96, No. 6, 1491--1504 (2023; Zbl 1519.93043) Full Text: DOI arXiv
Redmann, Martin; Freitag, Melina A. Optimization based model order reduction for stochastic systems. (English) Zbl 1508.93287 Appl. Math. Comput. 398, Article ID 125783, 19 p. (2021). MSC: 93E03 65C30 93A15 93B11 PDFBibTeX XMLCite \textit{M. Redmann} and \textit{M. A. Freitag}, Appl. Math. Comput. 398, Article ID 125783, 19 p. (2021; Zbl 1508.93287) Full Text: DOI arXiv
Redmann, Martin Bilinear systems – a new link to \(\mathcal{H}_2\)-norms, relations to stochastic systems, and further properties. (English) Zbl 1467.93148 SIAM J. Control Optim. 59, No. 4, 2477-2497 (2021). MSC: 93C10 93D20 93E03 93B03 PDFBibTeX XMLCite \textit{M. Redmann}, SIAM J. Control Optim. 59, No. 4, 2477--2497 (2021; Zbl 1467.93148) Full Text: DOI arXiv
Redmann, Martin Energy estimates and model order reduction for stochastic bilinear systems. (English) Zbl 1453.93034 Int. J. Control 93, No. 8, 1954-1963 (2020). MSC: 93B11 93E03 93C10 60G51 PDFBibTeX XMLCite \textit{M. Redmann}, Int. J. Control 93, No. 8, 1954--1963 (2020; Zbl 1453.93034) Full Text: DOI arXiv
Benner, Peter; Breiten, Tobias; Hartmann, Carsten; Schmidt, Burkhard Model reduction of controlled Fokker-Planck and Liouville-von Neumann equations. (English) Zbl 1448.93039 J. Comput. Dyn. 7, No. 1, 1-33 (2020). MSC: 93B11 93C20 93C10 93C70 PDFBibTeX XMLCite \textit{P. Benner} et al., J. Comput. Dyn. 7, No. 1, 1--33 (2020; Zbl 1448.93039) Full Text: DOI arXiv
Redmann, Martin A new type of singular perturbation approximation for stochastic bilinear systems. (English) Zbl 1442.93026 Math. Control Signals Syst. 32, No. 2, 129-156 (2020). MSC: 93C70 93B11 93E03 93C10 60G51 PDFBibTeX XMLCite \textit{M. Redmann}, Math. Control Signals Syst. 32, No. 2, 129--156 (2020; Zbl 1442.93026) Full Text: DOI arXiv
Redmann, Martin; Freitag, Melina A. Balanced model order reduction for linear random dynamical systems driven by Lévy noise. (English) Zbl 1407.93081 J. Comput. Dyn. 5, No. 1-2, 33-59 (2018). MSC: 93B11 93C70 93A15 93E03 65C30 93B03 93B07 60G51 PDFBibTeX XMLCite \textit{M. Redmann} and \textit{M. A. Freitag}, J. Comput. Dyn. 5, No. 1--2, 33--59 (2018; Zbl 1407.93081) Full Text: DOI