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
Beattie, Christopher; Gugercin, Serkan; Mehrmann, Volker Structure-preserving interpolatory model reduction for port-Hamiltonian differential-algebraic systems. (English) Zbl 1504.93033 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. 235-254 (2022). MSC: 93B11 93B70 65L80 PDFBibTeX XMLCite \textit{C. Beattie} et al., in: Realization and model reduction of dynamical systems. A festschrift in honor of the 70th birthday of Thanos Antoulas. Cham: Springer. 235--254 (2022; Zbl 1504.93033) Full Text: DOI arXiv
Gosea, Ion Victor; Gugercin, Serkan; Beattie, Christopher Data-driven balancing of linear dynamical systems. (English) Zbl 1492.37076 SIAM J. Sci. Comput. 44, No. 1, A554-A582 (2022). MSC: 37M99 41A20 65D30 93A15 93B15 PDFBibTeX XMLCite \textit{I. V. Gosea} et al., SIAM J. Sci. Comput. 44, No. 1, A554--A582 (2022; Zbl 1492.37076) Full Text: DOI arXiv
Beattie, Christopher; Gugercin, Serkan; Tomljanović, Zoran Sampling-free model reduction of systems with low-rank parameterization. (English) Zbl 1464.93010 Adv. Comput. Math. 46, No. 6, Paper No. 83, 34 p. (2020). MSC: 93B11 93C05 93C15 49J15 93D20 PDFBibTeX XMLCite \textit{C. Beattie} et al., Adv. Comput. Math. 46, No. 6, Paper No. 83, 34 p. (2020; Zbl 1464.93010) Full Text: DOI
Beattie, Christopher; Drmač, Zlatko; Gugercin, Serkan Revisiting IRKA: connections with pole placement and backward stability. (English) Zbl 07341142 Vietnam J. Math. 48, No. 4, 963-985 (2020). MSC: 65Pxx PDFBibTeX XMLCite \textit{C. Beattie} et al., Vietnam J. Math. 48, No. 4, 963--985 (2020; Zbl 07341142) Full Text: DOI arXiv
Peherstorfer, Benjamin; Drmač, Zlatko; Gugercin, Serkan Stability of discrete empirical interpolation and gappy proper orthogonal decomposition with randomized and deterministic sampling points. (English) Zbl 1453.65287 SIAM J. Sci. Comput. 42, No. 5, A2837-A2864 (2020). Reviewer: Abdallah Bradji (Annaba) MSC: 65M22 65F25 65M99 65D05 PDFBibTeX XMLCite \textit{B. Peherstorfer} et al., SIAM J. Sci. Comput. 42, No. 5, A2837--A2864 (2020; Zbl 1453.65287) Full Text: DOI arXiv
Magruder, C. C.; Gugercin, S.; Beattie, C. A. Linear time-periodic dynamical systems: an \(H_2\) analysis and a model reduction framework. (English) Zbl 1485.93098 Math. Comput. Model. Dyn. Syst. 24, No. 2, 119-142 (2018). MSC: 93B11 93C05 PDFBibTeX XMLCite \textit{C. C. Magruder} et al., Math. Comput. Model. Dyn. Syst. 24, No. 2, 119--142 (2018; Zbl 1485.93098) Full Text: DOI arXiv
Carracedo Rodriguez, Andrea; Gugercin, Serkan; Borggaard, Jeff Interpolatory model reduction of parameterized bilinear dynamical systems. (English) Zbl 1406.93069 Adv. Comput. Math. 44, No. 6, 1887-1916 (2018). MSC: 93B11 93C10 93C05 41A05 93C15 PDFBibTeX XMLCite \textit{A. Carracedo Rodriguez} et al., Adv. Comput. Math. 44, No. 6, 1887--1916 (2018; Zbl 1406.93069) Full Text: DOI arXiv
Tomljanović, Zoran; Beattie, Christopher; Gugercin, Serkan Damping optimization of parameter dependent mechanical systems by rational interpolation. (English) Zbl 1416.90038 Adv. Comput. Math. 44, No. 6, 1797-1820 (2018). MSC: 90C26 74P10 70Q05 41A05 PDFBibTeX XMLCite \textit{Z. Tomljanović} et al., Adv. Comput. Math. 44, No. 6, 1797--1820 (2018; Zbl 1416.90038) Full Text: DOI arXiv
Benner, Peter; Goyal, Pawan; Gugercin, Serkan \(\mathcal H_2\)-quasi-optimal model order reduction for quadratic-bilinear control systems. (English) Zbl 1418.93048 SIAM J. Matrix Anal. Appl. 39, No. 2, 983-1032 (2018). MSC: 93B11 93A15 93C10 49L99 35Q93 PDFBibTeX XMLCite \textit{P. Benner} et al., SIAM J. Matrix Anal. Appl. 39, No. 2, 983--1032 (2018; Zbl 1418.93048) Full Text: DOI arXiv
Schulze, Philipp; Unger, Benjamin; Beattie, Christopher; Gugercin, Serkan Data-driven structured realization. (English) Zbl 1373.93087 Linear Algebra Appl. 537, 250-286 (2018). MSC: 93B15 30E05 37M99 93C05 93A15 PDFBibTeX XMLCite \textit{P. Schulze} et al., Linear Algebra Appl. 537, 250--286 (2018; Zbl 1373.93087) Full Text: DOI arXiv
Castagnotto, Alessandro; Beattie, Christopher; Gugercin, Serkan Interpolatory methods for \(\mathcal{H}_{\infty}\) model reduction of multi-input/multi-output systems. (English) Zbl 1384.93015 Benner, Peter (ed.) et al., Model reduction of parametrized systems. Selected contributions based on the presentations at the MoRePaS conference, SISSA, Trieste, Italy, October 13–16, 2015. Cham: Springer (ISBN 978-3-319-58785-1/hbk; 978-3-319-58786-8/ebook). MS&A. Modeling, Simulation and Applications 17, 349-365 (2017). MSC: 93A15 93B11 93B36 93C35 93C05 65D05 PDFBibTeX XMLCite \textit{A. Castagnotto} et al., MS\&A, Model. Simul. Appl. 17, 349--365 (2017; Zbl 1384.93015) Full Text: DOI arXiv
Beattie, Christopher; Gugercin, Serkan; Mehrmann, Volker Model reduction for systems with inhomogeneous initial conditions. (English) Zbl 1353.93019 Syst. Control Lett. 99, 99-106 (2017). MSC: 93B11 93C05 93B40 PDFBibTeX XMLCite \textit{C. Beattie} et al., Syst. Control Lett. 99, 99--106 (2017; Zbl 1353.93019) Full Text: DOI arXiv
Chaturantabut, S.; Beattie, C.; Gugercin, S. Structure-preserving model reduction for nonlinear port-Hamiltonian systems. (English) Zbl 1376.37120 SIAM J. Sci. Comput. 38, No. 5, B837-B865 (2016). MSC: 37M05 65P10 93A15 PDFBibTeX XMLCite \textit{S. Chaturantabut} et al., SIAM J. Sci. Comput. 38, No. 5, B837--B865 (2016; Zbl 1376.37120) Full Text: DOI arXiv
Drmač, Zlatko; Gugercin, Serkan A new selection operator for the discrete empirical interpolation method – improved a priori error bound and extensions. (English) Zbl 1382.65193 SIAM J. Sci. Comput. 38, No. 2, A631-A648 (2016). MSC: 65L05 15A12 15A23 93B11 93B40 PDFBibTeX XMLCite \textit{Z. Drmač} and \textit{S. Gugercin}, SIAM J. Sci. Comput. 38, No. 2, A631--A648 (2016; Zbl 1382.65193) Full Text: DOI arXiv
Benner, Peter; Gugercin, Serkan; Willcox, Karen A survey of projection-based model reduction methods for parametric dynamical systems. (English) Zbl 1339.37089 SIAM Rev. 57, No. 4, 483-531 (2015). MSC: 37M99 35B30 41A05 65K99 93A15 93C05 PDFBibTeX XMLCite \textit{P. Benner} et al., SIAM Rev. 57, No. 4, 483--531 (2015; Zbl 1339.37089) Full Text: DOI Link
Drmač, Z.; Gugercin, S.; Beattie, C. Vector fitting for matrix-valued rational approximation. (English) Zbl 1323.93050 SIAM J. Sci. Comput. 37, No. 5, A2346-A2379 (2015). MSC: 93C80 41A05 49K15 49M05 93A15 93C05 93C15 PDFBibTeX XMLCite \textit{Z. Drmač} et al., SIAM J. Sci. Comput. 37, No. 5, A2346--A2379 (2015; Zbl 1323.93050) Full Text: DOI arXiv
de Sturler, Eric; Gugercin, Serkan; Kilmer, Misha E.; Chaturantabut, Saifon; Beattie, Christopher; O’Connell, Meghan Nonlinear parametric inversion using interpolatory model reduction. (English) Zbl 1433.65194 SIAM J. Sci. Comput. 37, No. 3, B495-B517 (2015). MSC: 65M32 65F10 65K10 92C55 PDFBibTeX XMLCite \textit{E. de Sturler} et al., SIAM J. Sci. Comput. 37, No. 3, B495--B517 (2015; Zbl 1433.65194) Full Text: DOI arXiv
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
Drmač, Z.; Gugercin, S.; Beattie, C. Quadrature-based vector fitting for discretized \(\mathcal{H}_2\) approximation. (English) Zbl 1320.93029 SIAM J. Sci. Comput. 37, No. 2, A625-A652 (2015). MSC: 93B11 41A05 49K15 49M05 93A15 93C05 93C15 PDFBibTeX XMLCite \textit{Z. Drmač} et al., SIAM J. Sci. Comput. 37, No. 2, A625--A652 (2015; Zbl 1320.93029) Full Text: DOI arXiv
Anić, Branimir; Beattie, Christopher; Gugercin, Serkan; Antoulas, Athanasios C. Interpolatory weighted-\(\mathcal{H}_2\) model reduction. (English) Zbl 1319.93016 Automatica 49, No. 5, 1275-1280 (2013). MSC: 93B11 93B52 PDFBibTeX XMLCite \textit{B. Anić} et al., Automatica 49, No. 5, 1275--1280 (2013; Zbl 1319.93016) Full Text: DOI arXiv
Flagg, Garret; Beattie, Christopher A.; Gugercin, Serkan Interpolatory \(H_\infty \) model reduction. (English) Zbl 1277.93020 Syst. Control Lett. 62, No. 7, 567-574 (2013). MSC: 93B11 93B15 93B36 93A15 PDFBibTeX XMLCite \textit{G. Flagg} et al., Syst. Control Lett. 62, No. 7, 567--574 (2013; Zbl 1277.93020) Full Text: DOI arXiv
Gugercin, Serkan; Polyuga, Rostyslav V.; Beattie, Christopher; van der Schaft, Arjan Structure-preserving tangential interpolation for model reduction of port-Hamiltonian systems. (English) Zbl 1257.93021 Automatica 48, No. 9, 1963-1974 (2012). MSC: 93B11 93A15 70Q05 93C15 PDFBibTeX XMLCite \textit{S. Gugercin} et al., Automatica 48, No. 9, 1963--1974 (2012; Zbl 1257.93021) Full Text: DOI arXiv Link
Gugercin, Serkan An iterative SVD-Krylov based method for model reduction of large-scale dynamical systems. (English) Zbl 1137.93006 Linear Algebra Appl. 428, No. 8-9, 1964-1986 (2008). MSC: 93A15 93B11 93D20 PDFBibTeX XMLCite \textit{S. Gugercin}, Linear Algebra Appl. 428, No. 8--9, 1964--1986 (2008; Zbl 1137.93006) Full Text: DOI
Gugercin, Serkan; Willcox, Karen Krylov projection framework for Fourier model reduction. (English) Zbl 1138.93017 Automatica 44, No. 1, 209-215 (2008). MSC: 93B11 93B20 93B28 PDFBibTeX XMLCite \textit{S. Gugercin} and \textit{K. Willcox}, Automatica 44, No. 1, 209--215 (2008; Zbl 1138.93017) Full Text: DOI
Gugercin, Serkan; Antoulas, Athanasios C. Model reduction of large-scale systems by least squares. (English) Zbl 1112.93015 Linear Algebra Appl. 415, No. 2-3, 290-321 (2006). Reviewer: Andrea Bacciotti (Torino) MSC: 93B11 93C15 93D99 93C55 PDFBibTeX XMLCite \textit{S. Gugercin} and \textit{A. C. Antoulas}, Linear Algebra Appl. 415, No. 2--3, 290--321 (2006; Zbl 1112.93015) Full Text: DOI
Gugercin, Serkan; Antoulas, Athanasios C. A survey of model reduction by balanced truncation and some new results. (English) Zbl 1061.93022 Int. J. Control 77, No. 8, 748-766 (2004). MSC: 93B11 93B17 93-02 PDFBibTeX XMLCite \textit{S. Gugercin} and \textit{A. C. Antoulas}, Int. J. Control 77, No. 8, 748--766 (2004; Zbl 1061.93022) Full Text: DOI