Rydel, Marek; Stanisławski, Rafał; Latawiec, Krzysztof J. Balanced truncation model order reduction in limited frequency and time intervals for discrete-time commensurate fractional-order systems. (English) Zbl 1416.93126 Symmetry 11, No. 2, Paper No. 258, 15 p. (2019). MSC: 93C55 93B05 93B07 PDF BibTeX XML Cite \textit{M. Rydel} et al., Symmetry 11, No. 2, Paper No. 258, 15 p. (2019; Zbl 1416.93126) Full Text: DOI
Rydel, Marek New integer-order approximations of discrete-time non-commensurate fractional-order systems using the cross Gramian. (English) Zbl 1415.78013 Adv. Comput. Math. 45, No. 2, 631-653 (2019). MSC: 78M34 35R11 35Q60 PDF BibTeX XML Cite \textit{M. Rydel}, Adv. Comput. Math. 45, No. 2, 631--653 (2019; Zbl 1415.78013) Full Text: DOI
Bentbib, A. H.; Jbilou, Khalide; Kaouane, Yassine A computational global tangential Krylov subspace method for model reduction of large-scale MIMO dynamical systems. (English) Zbl 1415.93070 J. Sci. Comput. 75, No. 3, 1614-1632 (2018). MSC: 93B11 93C05 65F15 PDF BibTeX XML Cite \textit{A. H. Bentbib} et al., J. Sci. Comput. 75, No. 3, 1614--1632 (2018; Zbl 1415.93070) Full Text: DOI
Benner, Peter; Stykel, Tatjana Model order reduction for differential-algebraic equations: a survey. (English) Zbl 1402.93069 Ilchmann, Achim (ed.) et al., Surveys in differential-algebraic equations IV. Cham: Springer (ISBN 978-3-319-46617-0/pbk; 978-3-319-46618-7/ebook). Differential-Algebraic Equations Forum, 107-160 (2017). MSC: 93B11 93C15 93B25 93-02 65F30 PDF BibTeX XML Cite \textit{P. Benner} and \textit{T. Stykel}, in: Surveys in differential-algebraic equations IV. Cham: Springer. 107--160 (2017; Zbl 1402.93069) Full Text: DOI
Tol, H. J.; Kotsonis, M.; de Visser, C. C.; Bamieh, B. Localised estimation and control of linear instabilities in two-dimensional wall-bounded shear flows. (English) Zbl 1374.76069 J. Fluid Mech. 824, 818-865 (2017). MSC: 76D55 76D05 PDF BibTeX XML Cite \textit{H. J. Tol} et al., J. Fluid Mech. 824, 818--865 (2017; Zbl 1374.76069) Full Text: DOI
Barkouki, H.; Bentbib, A. H.; Jbilou, K. A matrix rational Lanczos method for model reduction in large-scale first- and second-order dynamical systems. (English) Zbl 1424.93026 Numer. Linear Algebra Appl. 24, No. 1, e2077, 13 p. (2017). Reviewer: Zhaojun Bai (Davis) MSC: 93B11 93A15 PDF BibTeX XML Cite \textit{H. Barkouki} et al., Numer. Linear Algebra Appl. 24, No. 1, e2077, 13 p. (2017; Zbl 1424.93026) Full Text: DOI
Yao, Weigang; Liou, Meng-Sing A nonlinear modeling approach using weighted piecewise series and its applications to predict unsteady flows. (English) Zbl 1349.76149 J. Comput. Phys. 318, 58-84 (2016). MSC: 76G25 PDF BibTeX XML Cite \textit{W. Yao} and \textit{M.-S. Liou}, J. Comput. Phys. 318, 58--84 (2016; Zbl 1349.76149) Full Text: DOI
Anzt, Hartwig; Chow, Edmond; Saak, Jens; Dongarra, Jack Updating incomplete factorization preconditioners for model order reduction. (English) Zbl 1353.65022 Numer. Algorithms 73, No. 3, 611-630 (2016). MSC: 65F10 93C05 65F08 65F50 PDF BibTeX XML Cite \textit{H. Anzt} et al., Numer. Algorithms 73, No. 3, 611--630 (2016; Zbl 1353.65022) Full Text: DOI
Lang, N.; Saak, J.; Stykel, T. Balanced truncation model reduction for linear time-varying systems. (English) Zbl 1417.93089 Math. Comput. Model. Dyn. Syst. 22, No. 4, 267-281 (2016). MSC: 93B11 93C15 93C05 PDF BibTeX XML Cite \textit{N. Lang} et al., Math. Comput. Model. Dyn. Syst. 22, No. 4, 267--281 (2016; Zbl 1417.93089) Full Text: DOI
Sadeghi, A. A new approximation to the solution of the linear matrix equation \(AXB = C\). (English) Zbl 1412.65024 J. Linear Topol. Algebra 4, No. 4, 305-315 (2015). MSC: 65F30 15A24 PDF BibTeX XML Cite \textit{A. Sadeghi}, J. Linear Topol. Algebra 4, No. 4, 305--315 (2015; Zbl 1412.65024) Full Text: Link
Kundu, A.; Adhikari, S.; Friswell, M. I. Transient response analysis of randomly parametrized finite element systems based on approximate balanced reduction. (English) Zbl 1423.74898 Comput. Methods Appl. Mech. Eng. 285, 542-570 (2015). MSC: 74S05 74S15 65M60 65M75 PDF BibTeX XML Cite \textit{A. Kundu} et al., Comput. Methods Appl. Mech. Eng. 285, 542--570 (2015; Zbl 1423.74898) Full Text: DOI
Nechak, Lyès; Raynaud, Henri-François; Kulcsár, Caroline Model order reduction of random parameter-dependent linear systems. (English) Zbl 1378.93118 Automatica 55, 95-107 (2015). MSC: 93E03 93B17 93B11 93C41 93C05 PDF BibTeX XML Cite \textit{L. Nechak} et al., Automatica 55, 95--107 (2015; Zbl 1378.93118) Full Text: DOI
Afshar, Sepideh; Khamesee, Mir Behrad; Khajepour, Amir MIMO regulation control design for magnetic steering of a ferromagnetic particle inside a fluidic environment. (English) Zbl 1334.93092 Int. J. Control 88, No. 10, 1942-1962 (2015). MSC: 93C35 78A25 93C20 PDF BibTeX XML Cite \textit{S. Afshar} et al., Int. J. Control 88, No. 10, 1942--1962 (2015; Zbl 1334.93092) Full Text: DOI
Ling, Sitao; Wei, Musheng; Jia, Zhigang Perturbation analysis for the matrix least squares problem \(A X B = C\). (English) Zbl 1295.65044 J. Comput. Appl. Math. 273, 150-159 (2015). MSC: 65F20 65F30 15A24 PDF BibTeX XML Cite \textit{S. Ling} et al., J. Comput. Appl. Math. 273, 150--159 (2015; Zbl 1295.65044) Full Text: DOI
Himpe, Christian; Ohlberger, Mario Cross-Gramian-based combined state and parameter reduction for large-scale control systems. (English) Zbl 1407.93079 Math. Probl. Eng. 2014, Article ID 843869, 13 p. (2014). MSC: 93B11 93C05 93B40 PDF BibTeX XML Cite \textit{C. Himpe} and \textit{M. Ohlberger}, Math. Probl. Eng. 2014, Article ID 843869, 13 p. (2014; Zbl 1407.93079) Full Text: DOI
La Cruz, William A residual approach for balanced truncation model reduction (BTMR) of compartmental systems. (English) Zbl 1396.93022 Bull. Comput. Appl. Math. 2, No. 1, 7-23 (2014). MSC: 93B05 93B07 93C05 93D30 PDF BibTeX XML Cite \textit{W. La Cruz}, Bull. Comput. Appl. Math. 2, No. 1, 7--23 (2014; Zbl 1396.93022) Full Text: Link
Baur, Ulrike; Benner, Peter; Feng, Lihong Model order reduction for linear and nonlinear systems: a system-theoretic perspective. (English) Zbl 1348.93075 Arch. Comput. Methods Eng. 21, No. 4, 331-358 (2014). MSC: 93B17 PDF BibTeX XML Cite \textit{U. Baur} et al., Arch. Comput. Methods Eng. 21, No. 4, 331--358 (2014; Zbl 1348.93075) Full Text: DOI
Shaker, Hamid Reza; Tahavori, Maryamsadat Time-interval model reduction of bilinear systems. (English) Zbl 1317.93063 Int. J. Control 87, No. 8, 1487-1495 (2014). MSC: 93B11 93C10 93C15 PDF BibTeX XML Cite \textit{H. R. Shaker} and \textit{M. Tahavori}, Int. J. Control 87, No. 8, 1487--1495 (2014; Zbl 1317.93063) Full Text: DOI
Ugalde-Loo, Carlos E.; Acha, Enrique; Licéaga-Castro, Eduardo Multi-machine power system state-space modelling for small-signal stability assessments. (English) Zbl 1449.93094 Appl. Math. Modelling 37, No. 24, 10141-10161 (2013). MSC: 93C05 65F15 93B17 93-04 93-08 PDF BibTeX XML Cite \textit{C. E. Ugalde-Loo} et al., Appl. Math. Modelling 37, No. 24, 10141--10161 (2013; Zbl 1449.93094) Full Text: DOI
Tahavori, Maryamsadat; Shaker, Hamid Reza Model reduction via time-interval balanced stochastic truncation for linear time invariant systems. (English) Zbl 1307.93092 Int. J. Syst. Sci. 44, No. 3, 493-501 (2013). MSC: 93B11 93E03 PDF BibTeX XML Cite \textit{M. Tahavori} and \textit{H. R. Shaker}, Int. J. Syst. Sci. 44, No. 3, 493--501 (2013; Zbl 1307.93092) Full Text: DOI
Dergham, G.; Sipp, D.; Robinet, J.-Ch. Stochastic dynamics and model reduction of amplifier flows: the backward facing step flow. (English) Zbl 1284.76317 J. Fluid Mech. 719, 406-430 (2013). MSC: 76M35 76D05 76D55 PDF BibTeX XML Cite \textit{G. Dergham} et al., J. Fluid Mech. 719, 406--430 (2013; Zbl 1284.76317) Full Text: DOI
Xu, Kuan; Jiang, Shidong A bootstrap method for sum-of-poles approximations. (English) Zbl 1273.65022 J. Sci. Comput. 55, No. 1, 16-39 (2013). MSC: 65D15 PDF BibTeX XML Cite \textit{K. Xu} and \textit{S. Jiang}, J. Sci. Comput. 55, No. 1, 16--39 (2013; Zbl 1273.65022) Full Text: DOI
Bagheri, Shervin Computational hydrodynamic stability and flow control based on spectral analysis of linear operators. (English) Zbl 1354.76038 Arch. Comput. Methods Eng. 19, No. 3, 341-379 (2012). MSC: 76D05 76E99 47A10 PDF BibTeX XML Cite \textit{S. Bagheri}, Arch. Comput. Methods Eng. 19, No. 3, 341--379 (2012; Zbl 1354.76038) Full Text: DOI
Teng, Cong Second-order model reduction based on Gramians. (English) Zbl 1248.93036 J. Control Sci. Eng. 2012, Article ID 302498, 9 p. (2012). MSC: 93B11 93B40 93C15 PDF BibTeX XML Cite \textit{C. Teng}, J. Control Sci. Eng. 2012, Article ID 302498, 9 p. (2012; Zbl 1248.93036) Full Text: DOI
Semeraro, Onofrio; Bagheri, Shervin; Brandt, Luca; Henningson, Dan S. Feedback control of three-dimensional optimal disturbances using reduced-order models. (English) Zbl 1241.76167 J. Fluid Mech. 677, 63-102 (2011). MSC: 76D55 76D10 76F06 PDF BibTeX XML Cite \textit{O. Semeraro} et al., J. Fluid Mech. 677, 63--102 (2011; Zbl 1241.76167) Full Text: DOI
Salkuyeh, Davod Khojasteh On the solution of the fuzzy Sylvester matrix equation. (English) Zbl 1242.65084 Soft Comput. 15, No. 5, 953-961 (2011). MSC: 65F30 15B15 15A24 65F10 PDF BibTeX XML Cite \textit{D. K. Salkuyeh}, Soft Comput. 15, No. 5, 953--961 (2011; Zbl 1242.65084) Full Text: DOI arXiv
Zheng, X.; Dong, S. An eigen-based high-order expansion basis for structured spectral elements. (English) Zbl 1352.76087 J. Comput. Phys. 230, No. 23, 8573-8602 (2011). MSC: 76M22 76M10 PDF BibTeX XML Cite \textit{X. Zheng} and \textit{S. Dong}, J. Comput. Phys. 230, No. 23, 8573--8602 (2011; Zbl 1352.76087) Full Text: DOI
Shaker, Hamid Reza; Wisniewski, Rafael Generalised Gramian framework for model/controller order reduction of switched systems. (English) Zbl 1230.93012 Int. J. Syst. Sci. 42, No. 8, 1277-1291 (2011). MSC: 93B11 93C30 93B40 93C15 PDF BibTeX XML Cite \textit{H. R. Shaker} and \textit{R. Wisniewski}, Int. J. Syst. Sci. 42, No. 8, 1277--1291 (2011; Zbl 1230.93012) Full Text: DOI
De Los Reyes, Juan Carlos; Stykel, Tatjana A balanced truncation-based strategy for optimal control of evolution problems. (English) Zbl 1227.49037 Optim. Methods Softw. 26, No. 4-5, 671-692 (2011). MSC: 49M27 65K05 93B11 PDF BibTeX XML Cite \textit{J. C. De Los Reyes} and \textit{T. Stykel}, Optim. Methods Softw. 26, No. 4--5, 671--692 (2011; Zbl 1227.49037) Full Text: DOI
Benner, Peter; Saak, Jens Efficient balancing-based MOR for large-scale second-order systems. (English) Zbl 1221.93039 Math. Comput. Model. Dyn. Syst. 17, No. 2, 123-143 (2011). MSC: 93B11 93C15 93D05 93C95 93A15 PDF BibTeX XML Cite \textit{P. Benner} and \textit{J. Saak}, Math. Comput. Model. Dyn. Syst. 17, No. 2, 123--143 (2011; Zbl 1221.93039) Full Text: DOI
Heyouni, M. Extended Arnoldi methods for large low-rank Sylvester matrix equations. (English) Zbl 1210.65093 Appl. Numer. Math. 60, No. 11, 1171-1182 (2010). Reviewer: Vasilis Dimitriou (Chania) MSC: 65F30 15A24 65F10 PDF BibTeX XML Cite \textit{M. Heyouni}, Appl. Numer. Math. 60, No. 11, 1171--1182 (2010; Zbl 1210.65093) Full Text: DOI
Dehghan, Mehdi; Hajarian, Masoud An efficient algorithm for solving general coupled matrix equations and its application. (English) Zbl 1208.65054 Math. Comput. Modelling 51, No. 9-10, 1118-1134 (2010). Reviewer: Georg Hebermehl (Berlin) MSC: 65F30 65F10 15A24 PDF BibTeX XML Cite \textit{M. Dehghan} and \textit{M. Hajarian}, Math. Comput. Modelling 51, No. 9--10, 1118--1134 (2010; Zbl 1208.65054) Full Text: DOI
Shaker, Hamid Reza; Wisniewski, Rafael Switched systems reduction framework based on convex combination of generalized gramians. (English) Zbl 1229.93076 J. Control Sci. Eng. 2009, Article ID 710478, 11 p. (2009). MSC: 93B52 93B51 PDF BibTeX XML Cite \textit{H. R. Shaker} and \textit{R. Wisniewski}, J. Control Sci. Eng. 2009, Article ID 710478, 11 p. (2009; Zbl 1229.93076) Full Text: DOI
Zhou, Y.; Sorensen, D. C. Approximate implicit subspace iteration with alternating directions for LTI system model reduction. (English) Zbl 1212.65258 Numer. Linear Algebra Appl. 15, No. 9, 873-886 (2008). MSC: 65K10 65F30 15A24 93B40 65F10 93B11 PDF BibTeX XML Cite \textit{Y. Zhou} and \textit{D. C. Sorensen}, Numer. Linear Algebra Appl. 15, No. 9, 873--886 (2008; Zbl 1212.65258) Full Text: DOI
Ilak, Miloš; Rowley, Clarence W. Modeling of transitional channel flow using balanced proper orthogonal decomposition. (English) Zbl 1182.76341 Phys. Fluids 20, No. 3, Paper No. 034103, 17 p. (2008). MSC: 76-XX PDF BibTeX XML Cite \textit{M. Ilak} and \textit{C. W. Rowley}, Phys. Fluids 20, No. 3, Paper No. 034103, 17 p. (2008; Zbl 1182.76341) Full Text: DOI arXiv
Reis, Timo; Stykel, Tatjana Balanced truncation model reduction of second-order systems. (English) Zbl 1151.93010 Math. Comput. Model. Dyn. Syst. 14, No. 5, 391-406 (2008). MSC: 93B11 93C15 93C05 93B60 PDF BibTeX XML Cite \textit{T. Reis} and \textit{T. Stykel}, Math. Comput. Model. Dyn. Syst. 14, No. 5, 391--406 (2008; Zbl 1151.93010) Full Text: DOI
Gu, Da-Wei Robust control of a distillation column. (English) Zbl 1327.93135 Turner, Matthew C. (ed.) et al., Mathematical methods for robust and nonlinear control. EPSRC summer school, Leicester, UK, September 2006. London: Springer (ISBN 978-1-84800-024-7/pbk). Lecture Notes in Control and Information Sciences 367, 289-327 (2007). MSC: 93B35 93C95 93B18 PDF BibTeX XML Cite \textit{D.-W. Gu}, Lect. Notes Control Inf. Sci. 367, 289--327 (2007; Zbl 1327.93135) Full Text: DOI
Limebeer, David J. N. Modelling and model reduction – state-space truncation. (English) Zbl 1327.93052 Turner, Matthew C. (ed.) et al., Mathematical methods for robust and nonlinear control. EPSRC summer school, Leicester, UK, September 2006. London: Springer (ISBN 978-1-84800-024-7/pbk). Lecture Notes in Control and Information Sciences 367, 99-122 (2007). MSC: 93A30 93B17 PDF BibTeX XML Cite \textit{D. J. N. Limebeer}, Lect. Notes Control Inf. Sci. 367, 99--122 (2007; Zbl 1327.93052) Full Text: DOI
Bao, Liang; Lin, Yiqin; Wei, Yimin A new projection method for solving large Sylvester equations. (English) Zbl 1118.65028 Appl. Numer. Math. 57, No. 5-7, 521-532 (2007). Reviewer: Dietrich Braess (Bochum) MSC: 65F30 65F10 15A24 PDF BibTeX XML Cite \textit{L. Bao} et al., Appl. Numer. Math. 57, No. 5--7, 521--532 (2007; Zbl 1118.65028) Full Text: DOI
Benner, Peter Numerical linear algebra for model reduction in control and simulation. (English) Zbl 1157.93337 GAMM-Mitt. 29, No. 2, 275-296 (2006). MSC: 93B11 65F30 41A20 65F15 93-02 15A18 PDF BibTeX XML Cite \textit{P. Benner}, GAMM-Mitt. 29, No. 2, 275--296 (2006; Zbl 1157.93337) Full Text: DOI
Lin, Yiqin Minimal residual methods augmented with eigenvectors for solving Sylvester equations and generalized Sylvester equations. (English) Zbl 1148.65029 Appl. Math. Comput. 181, No. 1, 487-499 (2006). MSC: 65F30 15A24 PDF BibTeX XML Cite \textit{Y. Lin}, Appl. Math. Comput. 181, No. 1, 487--499 (2006; Zbl 1148.65029) Full Text: DOI
Beck, Carolyn Coprime factors reduction methods for linear parameter varying and uncertain systems. (English) Zbl 1129.93352 Syst. Control Lett. 55, No. 3, 199-213 (2006). MSC: 93B25 93C41 PDF BibTeX XML Cite \textit{C. Beck}, Syst. Control Lett. 55, No. 3, 199--213 (2006; Zbl 1129.93352) Full Text: DOI
Stykel, Tatjana Balanced truncation model reduction for semidiscretized Stokes equation. (English) Zbl 1102.65075 Linear Algebra Appl. 415, No. 2-3, 262-289 (2006). Reviewer: Piotr Matus (Minsk) MSC: 65K10 37N10 93A15 65M20 93B05 93B07 93B11 03C20 35Q30 35B37 PDF BibTeX XML Cite \textit{T. Stykel}, Linear Algebra Appl. 415, No. 2--3, 262--289 (2006; Zbl 1102.65075) Full Text: DOI
Rowley, C. W. Model reduction for fluids, using balanced proper orthogonal decomposition. (English) Zbl 1140.76443 Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, No. 3, 997-1013 (2005). MSC: 76M99 37N10 93B11 PDF BibTeX XML Cite \textit{C. W. Rowley}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, No. 3, 997--1013 (2005; Zbl 1140.76443) Full Text: DOI
Wu, Jun; Chen, Sheng; Whidborne, James F.; Chu, Jian Optimal realizations of floating-point implemented digital controllers with finite word length considerations. (English) Zbl 1061.93064 Int. J. Control 77, No. 5, 427-440 (2004). MSC: 93C62 93B15 93B35 93D09 PDF BibTeX XML Cite \textit{J. Wu} et al., Int. J. Control 77, No. 5, 427--440 (2004; Zbl 1061.93064) Full Text: DOI
Ades, R.; da Silveira, M. A. Mixed \(H^2/H^\infty\) problems: Approximated solutions by Galerkin methods. (English) Zbl 1043.93015 Int. J. Control 76, No. 11, 1102-1115 (2003). Reviewer: Hans Zwart (Enschede) MSC: 93B36 93B40 49N10 93B17 65L60 PDF BibTeX XML Cite \textit{R. Ades} and \textit{M. A. da Silveira}, Int. J. Control 76, No. 11, 1102--1115 (2003; Zbl 1043.93015) Full Text: DOI
Benner, P.; Quintana-Ortí, E. S.; Quintana-Ortí, G. Parallel algorithms for model reduction of discrete-time systems. (English) Zbl 1044.93012 Int. J. Syst. Sci. 34, No. 5, 319-333 (2003). Reviewer: Edwin Engin Yaz (Milwaukee) MSC: 93B11 93B40 93C55 65Y05 PDF BibTeX XML Cite \textit{P. Benner} et al., Int. J. Syst. Sci. 34, No. 5, 319--333 (2003; Zbl 1044.93012) Full Text: DOI
Garcia, J. S.; Basilio, J. C. Computation of reduced-order models of multivariable systems by balanced truncation. (English) Zbl 1022.93009 Int. J. Syst. Sci. 33, No. 10, 847-854 (2002). Reviewer: Pablo Gonzalez-Vera (La Laguna) MSC: 93B11 93B15 93C35 PDF BibTeX XML Cite \textit{J. S. Garcia} and \textit{J. C. Basilio}, Int. J. Syst. Sci. 33, No. 10, 847--854 (2002; Zbl 1022.93009) 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 PDF BibTeX XML Cite \textit{D. C. Sorensen} and \textit{A. C. Antoulas}, Linear Algebra Appl. 351--352, 671--700 (2002; Zbl 1023.93012) Full Text: DOI
Stykel, Tatjana Numerical solution and perturbation theory for generalized Lyapunov equations. (English) Zbl 1003.65042 Linear Algebra Appl. 349, No. 1-3, 155-185 (2002). Reviewer: Petko Hr.Petkov (Sofia) MSC: 65F30 65F35 15A24 PDF BibTeX XML Cite \textit{T. Stykel}, Linear Algebra Appl. 349, No. 1--3, 155--185 (2002; Zbl 1003.65042) Full Text: DOI
Helmke, U.; Hüper, K. A Jacobi-type method for computing balanced realizations. (English) Zbl 0985.93016 Syst. Control Lett. 39, No. 1, 19-30 (2000). MSC: 93B40 93B11 PDF BibTeX XML Cite \textit{U. Helmke} and \textit{K. Hüper}, Syst. Control Lett. 39, No. 1, 19--30 (2000; Zbl 0985.93016) Full Text: DOI
Chu, Delin; De Moor, Bart On the nonuniqueness of the factorization factors in the product singular value decomposition. (English) Zbl 0970.65034 Linear Algebra Appl. 314, No. 1-3, 191-203 (2000). Reviewer: Axel Ruhe (Göteborg) MSC: 65F20 65F15 PDF BibTeX XML Cite \textit{D. Chu} and \textit{B. De Moor}, Linear Algebra Appl. 314, No. 1--3, 191--203 (2000; Zbl 0970.65034) Full Text: DOI
Srinivasan, Sriram; Rajamani, Rajesh Analytical modelling of the structural acoustic vibrations in a paneled box. (English) Zbl 0962.74505 Math. Comput. Model. Dyn. Syst. 4, No. 2, 148-161 (1998). MSC: 74F10 76Q05 PDF BibTeX XML Cite \textit{S. Srinivasan} and \textit{R. Rajamani}, Math. Comput. Model. Dyn. Syst. 4, No. 2, 148--161 (1998; Zbl 0962.74505) Full Text: DOI
Al-Saggaf, Ubaid M.; Ubaid, Mohammed A. Approximate balanced-truncation model reduction for weakly coupled discrete-time systems. (English) Zbl 0840.93016 Int. J. Syst. Sci. 26, No. 12, 2403-2416 (1995). MSC: 93B11 93A15 93C55 PDF BibTeX XML Cite \textit{U. M. Al-Saggaf} and \textit{M. A. Ubaid}, Int. J. Syst. Sci. 26, No. 12, 2403--2416 (1995; Zbl 0840.93016) Full Text: DOI
Boley, Daniel L. Krylov space methods on state-space control models. (English) Zbl 0833.93024 Circuits Syst. Signal Process. 13, No. 6, 733-758 (1994). Reviewer: A.Vaněček (Praha) MSC: 93B40 93C35 93A15 93B05 93B11 PDF BibTeX XML Cite \textit{D. L. Boley}, Circuits Syst. Signal Process. 13, No. 6, 733--758 (1994; Zbl 0833.93024) Full Text: DOI
Ansary, A. Analysis of a specially structured descriptor-like model. (English) Zbl 0825.93239 J. Franklin Inst. 331B, No. 1, 35-42 (1994). MSC: 93B51 93C15 PDF BibTeX XML Cite \textit{A. Ansary}, J. Franklin Inst. 331B, No. 1, 35--42 (1994; Zbl 0825.93239) Full Text: DOI
Perev, K.; Shafai, B. Balanced realization and model reduction of singular systems. (English) Zbl 0808.93010 Int. J. Syst. Sci. 25, No. 6, 1039-1052 (1994). MSC: 93B11 93B20 93B10 93B05 93B07 93B17 PDF BibTeX XML Cite \textit{K. Perev} and \textit{B. Shafai}, Int. J. Syst. Sci. 25, No. 6, 1039--1052 (1994; Zbl 0808.93010) Full Text: DOI
Aldhaheri, Rabah W.; Bamani, Ali H. Balanced realization of non-minimal MIMO discrete-time systems. (English) Zbl 0790.93094 Int. J. Syst. Sci. 25, No. 1, 173-182 (1994). MSC: 93C55 PDF BibTeX XML Cite \textit{R. W. Aldhaheri} and \textit{A. H. Bamani}, Int. J. Syst. Sci. 25, No. 1, 173--182 (1994; Zbl 0790.93094) Full Text: DOI
Aliev, F. A.; Larin, V. B. Generalized Lyapunov equation and factorization of matrix polynomials. (English) Zbl 0794.93075 Syst. Control Lett. 21, No. 6, 485-491 (1993). MSC: 93D05 93D30 PDF BibTeX XML Cite \textit{F. A. Aliev} and \textit{V. B. Larin}, Syst. Control Lett. 21, No. 6, 485--491 (1993; Zbl 0794.93075) Full Text: DOI
Žigić, Dragan; Watson, Layne T.; Beattie, Christopher Contragredient transformations applied to the optimal projection equations. (English) Zbl 0781.65059 Linear Algebra Appl. 188-189, 665-676 (1993). Reviewer: M.Gousidou-Koutita (Thessaloniki) MSC: 65K10 93C99 PDF BibTeX XML Cite \textit{D. Žigić} et al., Linear Algebra Appl. 188--189, 665--676 (1993; Zbl 0781.65059) Full Text: DOI
Qiu, L.; Davison, E. J. Performance limitations of non-minimum phase systems in the servomechanism problem. (English) Zbl 0778.93053 Automatica 29, No. 2, 337-349 (1993). MSC: 93C15 93C05 PDF BibTeX XML Cite \textit{L. Qiu} and \textit{E. J. Davison}, Automatica 29, No. 2, 337--349 (1993; Zbl 0778.93053) Full Text: DOI
Larin, V. B.; Aliev, F. A. Construction of square root factor for solution of the Lyapunov matrix equation. (English) Zbl 0782.93082 Syst. Control Lett. 20, No. 2, 109-112 (1993). MSC: 93D30 93C15 PDF BibTeX XML Cite \textit{V. B. Larin} and \textit{F. A. Aliev}, Syst. Control Lett. 20, No. 2, 109--112 (1993; Zbl 0782.93082) Full Text: DOI
Barb, Florin Dan; Weiss, Martin Model reduction techniques for sampled-data systems. (English) Zbl 0780.93070 Numer. Algorithms 4, No. 1-2, 47-64 (1993). MSC: 93C57 93B11 PDF BibTeX XML Cite \textit{F. D. Barb} and \textit{M. Weiss}, Numer. Algorithms 4, No. 1--2, 47--64 (1993; Zbl 0780.93070) Full Text: DOI
Al-Saggaf, Ubaid M. Approximate balanced-truncation model reduction for large scale systems. (English) Zbl 0783.93007 Int. J. Control 56, No. 6, 1263-1273 (1992). Reviewer: A.Ilchmann (Exeter) MSC: 93A15 93B11 93C15 PDF BibTeX XML Cite \textit{U. M. Al-Saggaf}, Int. J. Control 56, No. 6, 1263--1273 (1992; Zbl 0783.93007) Full Text: DOI
Imae, J.; Perkins, J. E.; Moore, J. B. Toward time-varying balanced realization via Riccati equations. (English) Zbl 0760.93034 Math. Control Signals Syst. 5, No. 3, 313-326 (1992). MSC: 93C15 PDF BibTeX XML Cite \textit{J. Imae} et al., Math. Control Signals Syst. 5, No. 3, 313--326 (1992; Zbl 0760.93034) Full Text: DOI
De Moor, Bart L. R. On the structure and geometry of the product singular value decomposition. (English) Zbl 0754.15005 Linear Algebra Appl. 168, 95-136 (1992). Reviewer: E.Kreyszig (Ottawa) MSC: 15A18 PDF BibTeX XML Cite \textit{B. L. R. De Moor}, Linear Algebra Appl. 168, 95--136 (1992; Zbl 0754.15005) Full Text: DOI
Lalonde, R. J.; Hartley, T. T.; de Abreu-Garcia, Jose A. Least squares model reduction. (English) Zbl 0799.93009 J. Franklin Inst. 329, No. 2, 215-240 (1992). MSC: 93B11 PDF BibTeX XML Cite \textit{R. J. Lalonde} et al., J. Franklin Inst. 329, No. 2, 215--240 (1992; Zbl 0799.93009) Full Text: DOI
Aldhaheri, Rabah W. Model order reduction via real Schur-form decomposition. (English) Zbl 0725.93015 Int. J. Control 53, No. 3, 709-716 (1991). MSC: 93B11 93B15 PDF BibTeX XML Cite \textit{R. W. Aldhaheri}, Int. J. Control 53, No. 3, 709--716 (1991; Zbl 0725.93015) Full Text: DOI
Bettayeb, Maamar New interpretation of balancing state space representations as an input- output energy minimization problem. (English) Zbl 0724.93016 Int. J. Syst. Sci. 22, No. 2, 325-331 (1991). MSC: 93B15 93C55 93C05 PDF BibTeX XML Cite \textit{M. Bettayeb}, Int. J. Syst. Sci. 22, No. 2, 325--331 (1991; Zbl 0724.93016) Full Text: DOI
Hammarling, Sven Numerical solution of the discrete-time, convergent, non-negative definite Lyapunov equation. (English) Zbl 0747.93061 Syst. Control Lett. 17, No. 2, 137-139 (1991). MSC: 93D05 PDF BibTeX XML Cite \textit{S. Hammarling}, Syst. Control Lett. 17, No. 2, 137--139 (1991; Zbl 0747.93061) Full Text: DOI
Varga, Andras A note on Hammarling’s algorithm for the discrete Lyapunov equation. (English) Zbl 0724.93018 Syst. Control Lett. 15, No. 3, 273-275 (1990). MSC: 93B25 93D30 PDF BibTeX XML Cite \textit{A. Varga}, Syst. Control Lett. 15, No. 3, 273--275 (1990; Zbl 0724.93018) Full Text: DOI
Smoak, Robert A.; Ollat, Xavier R. Construction of control design models from engineering simulation models. (English) Zbl 0719.93518 Math. Comput. Modelling 14, 413-417 (1990). MSC: 93-XX PDF BibTeX XML Cite \textit{R. A. Smoak} and \textit{X. R. Ollat}, Math. Comput. Modelling 14, 413--417 (1990; Zbl 0719.93518) Full Text: DOI
Yeh, Fang-Bo; Wei, Lin-Fang Inner-outer factorizations of right-invertible real-rational matrices. (English) Zbl 0692.93011 Syst. Control Lett. 14, No. 1, 31-36 (1990). MSC: 93B25 15A23 PDF BibTeX XML Cite \textit{F.-B. Yeh} and \textit{L.-F. Wei}, Syst. Control Lett. 14, No. 1, 31--36 (1990; Zbl 0692.93011) Full Text: DOI
Ewerbring, L. Magnus; Luk, Franklin T. Canonical correlations and generalized SVD: Applications and new algorithms. (English) Zbl 0676.65147 J. Comput. Appl. Math. 27, No. 1-2, 37-52 (1989). Reviewer: V.Burjan MSC: 65C99 65F20 65F15 62J05 PDF BibTeX XML Cite \textit{L. M. Ewerbring} and \textit{F. T. Luk}, J. Comput. Appl. Math. 27, No. 1--2, 37--52 (1989; Zbl 0676.65147) Full Text: DOI