Mehrmann, Volker; Unger, Benjamin Control of port-Hamiltonian differential-algebraic systems and applications. (English) Zbl 07736658 Acta Numerica 32, 395-515 (2023). MSC: 65-XX 65L80 37J06 PDFBibTeX XMLCite \textit{V. Mehrmann} and \textit{B. Unger}, Acta Numerica 32, 395--515 (2023; Zbl 07736658) Full Text: DOI arXiv
Schwerdtner, Paul; Voigt, Matthias SOBMOR: structured optimization-based model order reduction. (English) Zbl 1514.93031 SIAM J. Sci. Comput. 45, No. 2, A502-A529 (2023). MSC: 93B11 93B70 PDFBibTeX XMLCite \textit{P. Schwerdtner} and \textit{M. Voigt}, SIAM J. Sci. Comput. 45, No. 2, A502--A529 (2023; Zbl 1514.93031) Full Text: DOI arXiv
Freitas, Francisco Damasceno; Rommes, Joost; Martins, Nelson Developments in the computation of reduced order models with the use of dominant spectral zeros. (English) Zbl 1504.93040 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. 215-233 (2022). MSC: 93B11 93B55 93-08 PDFBibTeX XMLCite \textit{F. D. Freitas} et al., in: Realization and model reduction of dynamical systems. A festschrift in honor of the 70th birthday of Thanos Antoulas. Cham: Springer. 215--233 (2022; Zbl 1504.93040) Full Text: DOI
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
Cherifi, Karim; Goyal, Pawan; Benner, Peter A non-intrusive method to inferring linear port-Hamiltonian realizations using time-domain data. (English) Zbl 1492.93037 ETNA, Electron. Trans. Numer. Anal. 56, 102-116 (2022). MSC: 93B30 93B70 93B15 93C80 PDFBibTeX XMLCite \textit{K. Cherifi} et al., ETNA, Electron. Trans. Numer. Anal. 56, 102--116 (2022; Zbl 1492.93037) Full Text: DOI arXiv Link
Borcea, Liliana; Druskin, Vladimir; Zimmerling, Jörn A reduced order model approach to inverse scattering in lossy layered media. (English) Zbl 1481.78006 J. Sci. Comput. 89, No. 1, Paper No. 1, 36 p. (2021). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 78A46 65M32 65L09 78A40 78A48 78A50 78M34 78M50 78M20 60H40 35R30 35Q60 PDFBibTeX XMLCite \textit{L. Borcea} et al., J. Sci. Comput. 89, No. 1, Paper No. 1, 36 p. (2021; Zbl 1481.78006) Full Text: DOI arXiv
Bhawal, Chayan; Pal, Debasattam; Belur, Madhu N. Closed-form solutions of singular KYP lemma: strongly passive systems, and fast lossless trajectories. (English) Zbl 1443.93118 Int. J. Control 93, No. 5, 1204-1217 (2020). MSC: 93D30 PDFBibTeX XMLCite \textit{C. Bhawal} et al., Int. J. Control 93, No. 5, 1204--1217 (2020; Zbl 1443.93118) Full Text: DOI
Yu, Lanlin; Xiong, Junlin Moment matching model reduction for negative imaginary systems. (English) Zbl 1451.93049 J. Franklin Inst. 356, No. 4, 2274-2293 (2019). MSC: 93B11 93D20 PDFBibTeX XMLCite \textit{L. Yu} and \textit{J. Xiong}, J. Franklin Inst. 356, No. 4, 2274--2293 (2019; Zbl 1451.93049) Full Text: DOI
Jugade, S. C.; Pal, Debasattam; Kalaimani, Rachel K.; Belur, Madhu N. Fast modes in the set of minimal dissipation trajectories. (English) Zbl 1358.93090 Syst. Control Lett. 101, 28-36 (2017). MSC: 93C15 93C05 PDFBibTeX XMLCite \textit{S. C. Jugade} et al., Syst. Control Lett. 101, 28--36 (2017; Zbl 1358.93090) Full Text: DOI
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
Bhawal, Chayan; Kumar, Sandeep; Pal, Debasattam; Belur, Madhu N. New properties of ARE solutions for strictly dissipative and lossless systems. (English) Zbl 1414.93099 Belur, Madhu N. (ed.) et al., Mathematical control theory II. Behavioral systems and robust control. Cham: Springer. Lect. Notes Control Inf. Sci. 462, 81-99 (2015). MSC: 93C15 93B25 93C05 93D99 PDFBibTeX XMLCite \textit{C. Bhawal} et al., Lect. Notes Control Inf. Sci. 462, 81--99 (2015; Zbl 1414.93099) Full Text: DOI
Son, Nguyen Thanh; Stykel, Tatjana Model order reduction of parameterized circuit equations based on interpolation. (English) Zbl 1336.93037 Adv. Comput. Math. 41, No. 5, 1321-1342 (2015). MSC: 93B11 65D05 65L80 93C05 65F30 PDFBibTeX XMLCite \textit{N. T. Son} and \textit{T. Stykel}, Adv. Comput. Math. 41, No. 5, 1321--1342 (2015; Zbl 1336.93037) Full Text: DOI Link
Zhu, Sen Approximate unitary equivalence to skew symmetric operators. (English) Zbl 1339.47023 Complex Anal. Oper. Theory 8, No. 7, 1565-1580 (2014). Reviewer: Dan E. Popovici (Timişoara) MSC: 47A65 47A58 47C15 47B15 PDFBibTeX XMLCite \textit{S. Zhu}, Complex Anal. Oper. Theory 8, No. 7, 1565--1580 (2014; Zbl 1339.47023) Full Text: DOI
Li, Xianwei; Yin, Shen; Gao, Huijun Passivity-preserving model reduction with finite frequency \(H_\infty\) approximation performance. (English) Zbl 1297.93043 Automatica 50, No. 9, 2294-2303 (2014). MSC: 93B11 93B36 93B35 PDFBibTeX XMLCite \textit{X. Li} et al., Automatica 50, No. 9, 2294--2303 (2014; Zbl 1297.93043) Full Text: DOI
Mohaghegh, K.; Pérez, M. A.; García-Aznar, J. M. Accelerating numerical simulations of strain-adaptive bone remodeling predictions. (English) Zbl 1296.74066 Comput. Methods Appl. Mech. Eng. 273, 255-272 (2014). MSC: 74L15 74S05 92C10 65N30 PDFBibTeX XMLCite \textit{K. Mohaghegh} et al., Comput. Methods Appl. Mech. Eng. 273, 255--272 (2014; Zbl 1296.74066) Full Text: DOI
Ionescu, Tudor C.; Astolfi, Alessandro; Colaneri, Patrizio Families of moment matching based, low order approximations for linear systems. (English) Zbl 1283.93060 Syst. Control Lett. 64, 47-56 (2014). MSC: 93B11 93B55 93C05 93B05 93B07 PDFBibTeX XMLCite \textit{T. C. Ionescu} et al., Syst. Control Lett. 64, 47--56 (2014; Zbl 1283.93060) Full Text: DOI
Son, Nguyen Thanh A real time procedure for affinely dependent parametric model order reduction using interpolation on Grassmann manifolds. (English) Zbl 1352.93032 Int. J. Numer. Methods Eng. 93, No. 8, 818-833 (2013). MSC: 93B11 65P99 37N35 PDFBibTeX XMLCite \textit{N. T. Son}, Int. J. Numer. Methods Eng. 93, No. 8, 818--833 (2013; Zbl 1352.93032) Full Text: DOI
Knockaert, L. Matrix nearness-based guaranteed passive system approximation. (English) Zbl 1280.93026 Syst. Control Lett. 62, No. 9, 795-804 (2013). MSC: 93B35 PDFBibTeX XMLCite \textit{L. Knockaert}, Syst. Control Lett. 62, No. 9, 795--804 (2013; Zbl 1280.93026) Full Text: DOI arXiv Link
Li, Chun Guang; Zhu, Sen Skew symmetric normal operators. (English) Zbl 1279.47040 Proc. Am. Math. Soc. 141, No. 8, 2755-2762 (2013). Reviewer: Mohammad Bagher Ghaemi (Tehran) MSC: 47B25 47A65 PDFBibTeX XMLCite \textit{C. G. Li} and \textit{S. Zhu}, Proc. Am. Math. Soc. 141, No. 8, 2755--2762 (2013; Zbl 1279.47040) Full Text: DOI
Selga, Rosa Castañé; Lohmann, Boris; Eid, Rudy Stability preservation in projection-based model order reduction of large scale systems. (English) Zbl 1302.93056 Eur. J. Control 18, No. 2, 122-132 (2012); erratum ibid. 20, No. 5, 269 (2014). MSC: 93B10 93A15 93D99 93C15 PDFBibTeX XMLCite \textit{R. C. Selga} et al., Eur. J. Control 18, No. 2, 122--132 (2012; Zbl 1302.93056) Full Text: DOI Link
Amodei, L.; Buchot, J.-M. A stabilization algorithm of the Navier-Stokes equations based on algebraic Bernoulli equation. (English) Zbl 1274.76186 Numer. Linear Algebra Appl. 19, No. 4, 700-727 (2012). MSC: 76D05 15A24 65F30 PDFBibTeX XMLCite \textit{L. Amodei} and \textit{J. M. Buchot}, Numer. Linear Algebra Appl. 19, No. 4, 700--727 (2012; Zbl 1274.76186) Full Text: DOI
Mehrmann, Volker; Schröder, C.; Simoncini, Valeria An implicitly-restarted Krylov subspace method for real symmetric/skew-symmetric eigenproblems. (English) Zbl 1247.65050 Linear Algebra Appl. 436, No. 10, 4070-4087 (2012). Reviewer: Constantin Popa (Constanţa) MSC: 65F15 65F18 65F50 PDFBibTeX XMLCite \textit{V. Mehrmann} et al., Linear Algebra Appl. 436, No. 10, 4070--4087 (2012; Zbl 1247.65050) Full Text: DOI
Benner, Peter; Embree, Mark; Lehoucq, Richard B.; Kelley, C. T. A mathematical biography of Danny C. Sorensen. (English) Zbl 1238.01104 Linear Algebra Appl. 436, No. 8, 2717-2724 (2012). MSC: 01A70 PDFBibTeX XMLCite \textit{P. Benner} et al., Linear Algebra Appl. 436, No. 8, 2717--2724 (2012; Zbl 1238.01104) Full Text: DOI
Eid, Rudy; Castañé-Selga, Rosa; Panzer, Heiko; Wolf, Thomas; Lohmann, Boris Stability-preserving parametric model reduction by matrix interpolation. (English) Zbl 1302.93057 Math. Comput. Model. Dyn. Syst. 17, No. 4, 319-335 (2011). MSC: 93B11 93D05 93C15 PDFBibTeX XMLCite \textit{R. Eid} et al., Math. Comput. Model. Dyn. Syst. 17, No. 4, 319--335 (2011; Zbl 1302.93057) Full Text: DOI Link
Rapisarda, P.; Trentelman, H. L. Identification and data-driven model reduction of state-space representations of lossless and dissipative systems from noise-free data. (English) Zbl 1226.93048 Automatica 47, No. 8, 1721-1728 (2011). MSC: 93B30 93B11 93C55 93B35 PDFBibTeX XMLCite \textit{P. Rapisarda} and \textit{H. L. Trentelman}, Automatica 47, No. 8, 1721--1728 (2011; Zbl 1226.93048) Full Text: DOI Link
Benner, Peter; Faßbender, Heike; Stoll, Martin A Hamiltonian Krylov-Schur-type method based on the symplectic Lanczos process. (English) Zbl 1219.65040 Linear Algebra Appl. 435, No. 3, 578-600 (2011). Reviewer: R. Militaru (Craiova) MSC: 65F15 65F50 PDFBibTeX XMLCite \textit{P. Benner} et al., Linear Algebra Appl. 435, No. 3, 578--600 (2011; Zbl 1219.65040) Full Text: DOI
Knockaert, L.; Dhaene, T.; Ferranti, F.; De Zutter, D. Model order reduction with preservation of passivity, non-expansivity and Markov moments. (English) Zbl 1217.15025 Syst. Control Lett. 60, No. 1, 53-61 (2011). Reviewer: Martín Argerami (Regina) MSC: 15A39 15A24 15A86 PDFBibTeX XMLCite \textit{L. Knockaert} et al., Syst. Control Lett. 60, No. 1, 53--61 (2011; Zbl 1217.15025) Full Text: DOI Link
Fuhrmann, Paul A.; Helmke, Uwe On the use of functional models in model reduction. (English) Zbl 1198.15012 Willems, Jan C. (ed.) et al., Perspectives in mathematical system theory, control, and signal processing. A Festschrift in honor of Yutaka Yamamoto on the occasion of his 60th birthday. Invited papers of the symposium, Kyoto, Japan, March 29–31, 2010. Berlin: Springer (ISBN 978-3-540-93917-7/pbk; 978-3-540-93918-4/ebook). Lecture Notes in Control and Information Sciences 398, 177-187 (2010). MSC: 15A24 15A69 41A05 93B52 PDFBibTeX XMLCite \textit{P. A. Fuhrmann} and \textit{U. Helmke}, Lect. Notes Control Inf. Sci. 398, 177--187 (2010; Zbl 1198.15012) Full Text: DOI
Polyuga, Rostyslav V.; van der Schaft, Arjan Structure preserving model reduction of port-Hamiltonian systems by moment matching at infinity. (English) Zbl 1193.93085 Automatica 46, No. 4, 665-672 (2010). MSC: 93B11 93C05 93C15 PDFBibTeX XMLCite \textit{R. V. Polyuga} and \textit{A. van der Schaft}, Automatica 46, No. 4, 665--672 (2010; Zbl 1193.93085) Full Text: DOI Link
Reis, Timo; Stykel, Tatjana Positive real and bounded real balancing for model reduction of descriptor systems. (English) Zbl 1184.93026 Int. J. Control 83, No. 1, 74-88 (2010). MSC: 93B11 93C15 93C05 34H05 PDFBibTeX XMLCite \textit{T. Reis} and \textit{T. Stykel}, Int. J. Control 83, No. 1, 74--88 (2010; Zbl 1184.93026) Full Text: DOI Link
Trentelman, Harry L.; Minh, Ha Binh; Rapisarda, Paolo Dissipativity preserving model reduction by retention of trajectories of minimal dissipation. (English) Zbl 1211.93033 Math. Control Signals Syst. 21, No. 3, 171-201 (2009). MSC: 93B11 93B35 PDFBibTeX XMLCite \textit{H. L. Trentelman} et al., Math. Control Signals Syst. 21, No. 3, 171--201 (2009; Zbl 1211.93033) Full Text: DOI
Trentelman, H. L. Bounded real and positive real balanced truncation using \(\Sigma \)-normalised coprime factors. (English) Zbl 1191.93024 Syst. Control Lett. 58, No. 12, 871-879 (2009). MSC: 93B11 93B40 93C05 93C15 PDFBibTeX XMLCite \textit{H. L. Trentelman}, Syst. Control Lett. 58, No. 12, 871--879 (2009; Zbl 1191.93024) Full Text: DOI
Pendharkar, Ishan; Pillai, Harish K. A parametrisation for dissipative behaviours – the matrix case. (English) Zbl 1168.93390 Int. J. Control 82, No. 6, 1006-1017 (2009). MSC: 93D10 93B30 PDFBibTeX XMLCite \textit{I. Pendharkar} and \textit{H. K. Pillai}, Int. J. Control 82, No. 6, 1006--1017 (2009; Zbl 1168.93390) Full Text: DOI
Salimbahrami, B.; Lohmann, B.; Bunse-Gerstner, A. Passive reduced order modelling of second-order systems. (English) Zbl 1151.93003 Math. Comput. Model. Dyn. Syst. 14, No. 5, 407-420 (2008). MSC: 93A15 93B17 93C15 93C05 93B11 PDFBibTeX XMLCite \textit{B. Salimbahrami} et al., Math. Comput. Model. Dyn. Syst. 14, No. 5, 407--420 (2008; Zbl 1151.93003) Full Text: DOI Link
Fanizza, Giovanna; Karlsson, Johan; Lindquist, Anders; Nagamune, Ryozo Passivity-preserving model reduction by analytic interpolation. (English) Zbl 1125.93024 Linear Algebra Appl. 425, No. 2-3, 608-633 (2007). Reviewer: Constantin Popa (Constanţa) MSC: 93C05 93B20 PDFBibTeX XMLCite \textit{G. Fanizza} et al., Linear Algebra Appl. 425, No. 2--3, 608--633 (2007; Zbl 1125.93024) 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