Diaz, Alejandro N.; Heinkenschloss, Matthias; Gosea, Ion Victor; Antoulas, Athanasios C. Interpolatory model reduction of quadratic-bilinear dynamical systems with quadratic-bilinear outputs. (English) Zbl 07785141 Adv. Comput. Math. 49, No. 6, Paper No. 95, 28 p. (2023). MSC: 65P99 PDFBibTeX XMLCite \textit{A. N. Diaz} et al., Adv. Comput. Math. 49, No. 6, Paper No. 95, 28 p. (2023; Zbl 07785141) Full Text: DOI
Karachalios, Dimitrios S.; Gosea, Ion Victor; Antoulas, Athanasios C. The Loewner framework for system identification and reduction. (English) Zbl 07445316 Benner, Peter (ed.) et al., Model order reduction. Volume 1: System- and data-driven methods and algorithms. Berlin: De Gruyter. 181-228 (2021). MSC: 65-XX 68-XX PDFBibTeX XMLCite \textit{D. S. Karachalios} et al., in: Model order reduction. Volume 1: System- and data-driven methods and algorithms. Berlin: De Gruyter. 181--228 (2021; Zbl 07445316) Full Text: DOI
Antoulas, Athanasios C.; Gosea, Ion Victor; Heinkenschloss, Matthias Data-driven model reduction for a class of semi-explicit DAEs using the Loewner framework. (English) Zbl 1453.65199 Reis, Timo (ed.) et al., Progress in differential-algebraic equations II. Proceedings of the 9th workshop on descriptor systems, Paderborn, Germany, March 17–20, 2019. Cham: Springer. Differ.-Algebr. Equ. Forum, 185-210 (2020). MSC: 65L80 34A09 PDFBibTeX XMLCite \textit{A. C. Antoulas} et al., in: Progress in differential-algebraic equations II. Proceedings of the 9th workshop on descriptor systems, Paderborn, Germany, March 17--20, 2019. Cham: Springer. 185--210 (2020; Zbl 1453.65199) Full Text: DOI
Gosea, Ion Victor; Zhang, Qiang; Antoulas, Athanasios C. Preserving the DAE structure in the Loewner model reduction and identification framework. (English) Zbl 1437.65086 Adv. Comput. Math. 46, No. 1, Paper No. 3, 32 p. (2020). MSC: 65L80 65P10 15A22 15A21 37N35 PDFBibTeX XMLCite \textit{I. V. Gosea} et al., Adv. Comput. Math. 46, No. 1, Paper No. 3, 32 p. (2020; Zbl 1437.65086) Full Text: DOI
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
Heinkenschloss, M.; Reis, T.; Antoulas, A. C. Balanced truncation model reduction for systems with inhomogeneous initial conditions. (English) Zbl 1216.93018 Automatica 47, No. 3, 559-564 (2011). MSC: 93B05 93B07 93C15 93B11 PDFBibTeX XMLCite \textit{M. Heinkenschloss} et al., Automatica 47, No. 3, 559--564 (2011; Zbl 1216.93018) 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
Antoulas, A. C. A new result on passivity preserving model reduction. (English) Zbl 1129.93304 Syst. Control Lett. 54, No. 4, 361-374 (2005). MSC: 93A15 93C05 65F99 93B99 PDFBibTeX XMLCite \textit{A. C. Antoulas}, Syst. Control Lett. 54, No. 4, 361--374 (2005; Zbl 1129.93304) 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
Sorensen, D. C.; Antoulas, A. C. The Sylvester equation and approximate balanced reduction. (English) Zbl 1023.93012 Linear Algebra Appl. 351-352, 671-700 (2002). Reviewer: L.Rodman (Williamsburg) MSC: 93B11 15A24 93B20 41A05 PDFBibTeX XMLCite \textit{D. C. Sorensen} and \textit{A. C. Antoulas}, Linear Algebra Appl. 351--352, 671--700 (2002; Zbl 1023.93012) Full Text: DOI
Antoulas, A. C.; Sorensen, D. C.; Zhou, Y. On the decay rate of Hankel singular values and related issues. (English) Zbl 1003.93024 Syst. Control Lett. 46, No. 5, 323-342 (2002). MSC: 93B60 93B11 15A18 15A24 PDFBibTeX XMLCite \textit{A. C. Antoulas} et al., Syst. Control Lett. 46, No. 5, 323--342 (2002; Zbl 1003.93024) Full Text: DOI
Antoulas, A. C.; Sorensen, D. C. Lyapunov, Lanczos, and inertia. (English) Zbl 0997.65065 Linear Algebra Appl. 326, No. 1-3, 137-150 (2001). Reviewer: Raffela Pavani (Milano) MSC: 65F15 15A24 65F30 PDFBibTeX XMLCite \textit{A. C. Antoulas} and \textit{D. C. Sorensen}, Linear Algebra Appl. 326, No. 1--3, 137--150 (2001; Zbl 0997.65065) Full Text: DOI