Liu, Jinwang; Li, Dongmei; Wu, Tao The Smith normal form and reduction of weakly linear matrices. (English) Zbl 1521.15012 J. Symb. Comput. 120, Article ID 102232, 14 p. (2024). MSC: 15A21 PDFBibTeX XMLCite \textit{J. Liu} et al., J. Symb. Comput. 120, Article ID 102232, 14 p. (2024; Zbl 1521.15012) Full Text: DOI
Lu, Dong; Wang, Dingkang; Xiao, Fanghui; Zheng, Xiaopeng Equivalence and reduction of bivariate polynomial matrices to their Smith forms. (English) Zbl 1514.15019 J. Symb. Comput. 118, 1-16 (2023). MSC: 15A21 15A15 PDFBibTeX XMLCite \textit{D. Lu} et al., J. Symb. Comput. 118, 1--16 (2023; Zbl 1514.15019) Full Text: DOI
Liu, Jinwang; Wu, Tao; Li, Dongmei Smith form of triangular multivariate polynomial matrix. (English) Zbl 1512.15010 J. Syst. Sci. Complex. 36, No. 1, 151-164 (2023). MSC: 15A21 PDFBibTeX XMLCite \textit{J. Liu} et al., J. Syst. Sci. Complex. 36, No. 1, 151--164 (2023; Zbl 1512.15010) Full Text: DOI
Zheng, Xiaopeng; Lu, Dong; Wang, Dingkang; Xiao, Fanghui New results on the equivalence of bivariate polynomial matrices. (English) Zbl 1512.15011 J. Syst. Sci. Complex. 36, No. 1, 77-95 (2023). MSC: 15A21 15A22 PDFBibTeX XMLCite \textit{X. Zheng} et al., J. Syst. Sci. Complex. 36, No. 1, 77--95 (2023; Zbl 1512.15011) Full Text: DOI
Lu, Dong; Wang, Dingkang; Xiao, Fanghui New remarks on the factorization and equivalence problems for a class of multivariate polynomial matrices. (English) Zbl 1497.15017 J. Symb. Comput. 115, 266-284 (2023). MSC: 15A23 13P10 68W30 PDFBibTeX XMLCite \textit{D. Lu} et al., J. Symb. Comput. 115, 266--284 (2023; Zbl 1497.15017) Full Text: DOI arXiv
Li, Dongmei; Liu, Jinwang; Chu, Delin The Smith form of a multivariate polynomial matrix over an arbitrary coefficient field. (English) Zbl 1490.15018 Linear Multilinear Algebra 70, No. 2, 366-379 (2022). Reviewer: John D. Dixon (Ottawa) MSC: 15A21 15A23 15A06 15B33 13P05 13P10 PDFBibTeX XMLCite \textit{D. Li} et al., Linear Multilinear Algebra 70, No. 2, 366--379 (2022; Zbl 1490.15018) Full Text: DOI
Tian, Yunbo; Xia, Chao On the low-degree solution of the Sylvester matrix polynomial equation. (English) Zbl 1477.15010 J. Math. 2021, Article ID 4612177, 4 p. (2021). MSC: 15A24 PDFBibTeX XMLCite \textit{Y. Tian} and \textit{C. Xia}, J. Math. 2021, Article ID 4612177, 4 p. (2021; Zbl 1477.15010) Full Text: DOI
Jiang, Yao-Lin; Wang, Wei-Gang \(H_2\) optimal model order reduction of the discrete system on the product manifold. (English) Zbl 1470.93034 Appl. Math. Modelling 69, 593-603 (2019). Reviewer: Vladimir Sobolev (Samara) MSC: 93B11 93C35 15A69 93B36 93C55 PDFBibTeX XMLCite \textit{Y.-L. Jiang} and \textit{W.-G. Wang}, Appl. Math. Modelling 69, 593--603 (2019; Zbl 1470.93034) Full Text: DOI
Nikolskii, M. S. One control problem of a pencil of trajectories. (English. Russian original) Zbl 1366.93248 Mosc. Univ. Comput. Math. Cybern. 41, No. 1, 18-24 (2017); translation from Vestn. Mosk. Univ., Ser. XV 2017, No. 1, 20-25 (2017). MSC: 93C05 93C15 15A22 PDFBibTeX XMLCite \textit{M. S. Nikolskii}, Mosc. Univ. Comput. Math. Cybern. 41, No. 1, 18--24 (2017; Zbl 1366.93248); translation from Vestn. Mosk. Univ., Ser. XV 2017, No. 1, 20--25 (2017) Full Text: DOI
Li, Dongmei; Liu, Jinwang; Zheng, Licui On the equivalence of multivariate polynomial matrices. (English) Zbl 1373.15019 Multidimensional Syst. Signal Process. 28, No. 1, 225-235 (2017). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 15A21 15A23 15A15 15A54 PDFBibTeX XMLCite \textit{D. Li} et al., Multidimensional Syst. Signal Process. 28, No. 1, 225--235 (2017; Zbl 1373.15019) Full Text: DOI
Chen, Sheng; Tian, Yunbo On solutions of generalized Sylvester equation in polynomial matrices. (English) Zbl 1398.65078 J. Franklin Inst. 351, No. 12, 5376-5385 (2014). MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{S. Chen} and \textit{Y. Tian}, J. Franklin Inst. 351, No. 12, 5376--5385 (2014; Zbl 1398.65078) Full Text: DOI
Boudellioua, M. S.; Quadrat, A. Serre’s reduction of linear functional systems. (English) Zbl 1275.16003 Math. Comput. Sci. 4, No. 2-3, 289-312 (2010). MSC: 16D70 93A10 15A21 39B52 68W30 PDFBibTeX XMLCite \textit{M. S. Boudellioua} and \textit{A. Quadrat}, Math. Comput. Sci. 4, No. 2--3, 289--312 (2010; Zbl 1275.16003) Full Text: DOI Link
Prokip, V. M. About the uniqueness solution of the matrix polynomial equation \(A(\lambda)X(\lambda)-Y(\lambda)B(\lambda)=C(\lambda)\). (English) Zbl 1176.15019 Lobachevskii J. Math. 29, No. 3, 186-191 (2008). Reviewer: Valeriu Prepeliţă (Bucureşti) MSC: 15A24 15A54 PDFBibTeX XMLCite \textit{V. M. Prokip}, Lobachevskii J. Math. 29, No. 3, 186--191 (2008; Zbl 1176.15019) Full Text: DOI
Fu, Peilin; Chen, Jie; Niculescu, Silviu-Iulian Generalized eigenvalue-based stability tests for 2-D linear systems: Necessary and sufficient conditions. (English) Zbl 1128.93377 Automatica 42, No. 9, 1569-1576 (2006). MSC: 93D05 93C35 15A22 PDFBibTeX XMLCite \textit{P. Fu} et al., Automatica 42, No. 9, 1569--1576 (2006; Zbl 1128.93377) Full Text: DOI
Da, Xu Li; Cheng, Chuwang; Tang, Bingyong A linear matrix inequality approach for robust control of systems with delayed states. (English) Zbl 0973.93044 Eur. J. Oper. Res. 124, No. 2, 332-341 (2000). Reviewer: Denis Khusainov (Kyïv) MSC: 93D21 93C23 15A39 PDFBibTeX XMLCite \textit{X. L. Da} et al., Eur. J. Oper. Res. 124, No. 2, 332--341 (2000; Zbl 0973.93044) Full Text: DOI
Cao, Yong-Yan; Lam, James Stochastic stabilizability and \(H_\infty\) control for discrete-time jump linear systems with time delay. (English) Zbl 0967.93095 J. Franklin Inst. 336, No. 8, 1263-1281 (1999). Reviewer: Vigirdas Mackevičius (Vilnius) MSC: 93E15 93B36 93D15 93C55 15A39 PDFBibTeX XMLCite \textit{Y.-Y. Cao} and \textit{J. Lam}, J. Franklin Inst. 336, No. 8, 1263--1281 (1999; Zbl 0967.93095) Full Text: DOI
Mahmoud, M. S.; Zribi, M. \(H_{\infty}\)-controllers for time-delay systems using linear matrix inequalities. (English) Zbl 0927.93024 J. Optimization Theory Appl. 100, No. 1, 89-122 (1999). Reviewer: A.Šwierniak (Gliwice) MSC: 93B36 34K35 93B50 15A39 PDFBibTeX XMLCite \textit{M. S. Mahmoud} and \textit{M. Zribi}, J. Optim. Theory Appl. 100, No. 1, 89--122 (1999; Zbl 0927.93024) Full Text: DOI
Ionescu, Vlad Reverse discrete-time Riccati equation and extended Nehari’s problem. (English) Zbl 0862.93032 Linear Algebra Appl. 236, 59-94 (1996). Reviewer: L.E.Faibusovich (Cambridge/Mass.) MSC: 93C05 15A24 PDFBibTeX XMLCite \textit{V. Ionescu}, Linear Algebra Appl. 236, 59--94 (1996; Zbl 0862.93032) Full Text: DOI
Lee, Chien-Hua; Li, Tzuu-Hseng S.; Kung, Fan-Chu On the robustness of stability for uncertain time-delay systems. (English) Zbl 0818.93055 Int. J. Syst. Sci. 26, No. 2, 457-465 (1995). MSC: 93D09 34K35 15A60 93C05 93D30 PDFBibTeX XMLCite \textit{C.-H. Lee} et al., Int. J. Syst. Sci. 26, No. 2, 457--465 (1995; Zbl 0818.93055) Full Text: DOI
Tissir, E.; Hmamed, A. Stability tests of interval time delay systems. (English) Zbl 0815.93061 Syst. Control Lett. 23, No. 4, 263-270 (1994). MSC: 93D09 15A60 93C73 93C05 PDFBibTeX XMLCite \textit{E. Tissir} and \textit{A. Hmamed}, Syst. Control Lett. 23, No. 4, 263--270 (1994; Zbl 0815.93061) Full Text: DOI
Nobuyama, Eitaku; Shin, Seiichi; Okubo, Shigenori; Kitamori, Toshiyuki Bezout identities and common minor zeros of 2-D polynomial matrices, and applications to time-delay systems. (English) Zbl 0707.93012 Int. J. Control 52, No. 6, 1311-1326 (1990). MSC: 93B25 15A24 15A23 93D15 PDFBibTeX XMLCite \textit{E. Nobuyama} et al., Int. J. Control 52, No. 6, 1311--1326 (1990; Zbl 0707.93012) Full Text: DOI
Wimmer, Harald K. Linear matrix equations: The module theoretic approach. (English) Zbl 0677.15001 Linear Algebra Appl. 120, 149-164 (1989). Reviewer: G.P.Barker MSC: 15A24 12D10 16D80 PDFBibTeX XMLCite \textit{H. K. Wimmer}, Linear Algebra Appl. 120, 149--164 (1989; Zbl 0677.15001) Full Text: DOI
Hosoe, S.; Zhang, F. An elementary state space approach to \(RH^{\infty}\) optimal control. (English) Zbl 0673.93042 Syst. Control Lett. 11, No. 5, 369-380 (1988). MSC: 93C35 30E05 46J15 93B35 30D55 15A24 93C05 93C25 PDFBibTeX XMLCite \textit{S. Hosoe} and \textit{F. Zhang}, Syst. Control Lett. 11, No. 5, 369--380 (1988; Zbl 0673.93042) Full Text: DOI
Glover, Keith; Doyle, John C. State-space formulae for all stabilizing controllers that satisfy an \(H_{\infty}\)-norm bound and relations to risk sensitivity. (English) Zbl 0671.93029 Syst. Control Lett. 11, No. 3, 167-172 (1988). Reviewer: L.Rodman MSC: 93C35 46E15 93B35 93B28 93D15 30D55 93C05 93C55 15A24 PDFBibTeX XMLCite \textit{K. Glover} and \textit{J. C. Doyle}, Syst. Control Lett. 11, No. 3, 167--172 (1988; Zbl 0671.93029) Full Text: DOI
Fuglede, Bent On the imbedding problem for stochastic and doubly stochastic matrices. (English) Zbl 0639.15007 Probab. Theory Relat. Fields 80, No. 2, 241-260 (1988). Reviewer: B.Fuglede MSC: 15B51 15A21 60J27 PDFBibTeX XMLCite \textit{B. Fuglede}, Probab. Theory Relat. Fields 80, No. 2, 241--260 (1988; Zbl 0639.15007) Full Text: DOI
Berman, Abraham; Stern, Ronald J. Linear feedback, irreducibility, and M-matrices. (English) Zbl 0663.93019 Linear Algebra Appl. 97, 141-152 (1987). Reviewer: N.Osetinski MSC: 93B25 15B48 93C05 05C50 90C05 93B05 PDFBibTeX XMLCite \textit{A. Berman} and \textit{R. J. Stern}, Linear Algebra Appl. 97, 141--152 (1987; Zbl 0663.93019) Full Text: DOI
Boley, Daniel Computing rank-deficiency of rectangular matrix pencils. (English) Zbl 0629.65045 Syst. Control Lett. 9, 207-214 (1987). Reviewer: F.Szidarovszky MSC: 65F30 15A22 15A60 PDFBibTeX XMLCite \textit{D. Boley}, Syst. Control Lett. 9, 207--214 (1987; Zbl 0629.65045) Full Text: DOI
Laughlin, Daniel L.; Rivera, Daniel E.; Morari, Manfred Smith predictor design for robust performance. (English) Zbl 0627.93024 Int. J. Control 46, 477-504 (1987). Reviewer: D. Cusmir MSC: 93B50 93B35 93D15 15A18 34K35 PDFBibTeX XMLCite \textit{D. L. Laughlin} et al., Int. J. Control 46, 477--504 (1987; Zbl 0627.93024) Full Text: DOI
Manitius, A. Z.; Manousiouthakis, V. On spectral controllability of multi-input time-delay systems. (English) Zbl 0614.93009 Syst. Control Lett. 6, 199-205 (1985). Reviewer: A.Olbrot MSC: 93B05 34K35 93C35 15A18 93B03 93C05 PDFBibTeX XMLCite \textit{A. Z. Manitius} and \textit{V. Manousiouthakis}, Syst. Control Lett. 6, 199--205 (1985; Zbl 0614.93009) Full Text: DOI
Jones, John jun.; Martin, Charles R.; Undem, Halvor A. Solutions of higher-order Riccati-type matrix equations. (English) Zbl 0552.15006 Int. J. Syst. Sci. 15, 1001-1010 (1984). Reviewer: F.R.Dias Agudo MSC: 15A24 PDFBibTeX XMLCite \textit{J. Jones jun.} et al., Int. J. Syst. Sci. 15, 1001--1010 (1984; Zbl 0552.15006) Full Text: DOI
Byrnes, Christopher I.; Spong, Mark W.; Tarn, Tzyhjong A several complex variables approach to feedback stabilization of linear neutral delay-differential systems. (English) Zbl 0539.93064 Math. Syst. Theory 17, 97-133 (1984). Reviewer: L.E.Faibusovich MSC: 93D15 34K20 32A27 13C10 93B10 15A24 PDFBibTeX XMLCite \textit{C. I. Byrnes} et al., Math. Syst. Theory 17, 97--133 (1984; Zbl 0539.93064) Full Text: DOI
Lee, E. Bruce; Żak, Stanislaw H.; Brierley, Stephen D. Stabilization of generalized linear systems via the algebraic Riccati equation. (English) Zbl 0531.93046 Int. J. Control 39, 1025-1041 (1984). Reviewer: R.Curtain MSC: 93D15 13F10 93C05 15A24 93B25 34K20 12D05 PDFBibTeX XMLCite \textit{E. B. Lee} et al., Int. J. Control 39, 1025--1041 (1984; Zbl 0531.93046) Full Text: DOI
Emre, E. Regulation of linear systems over rings by dynamic output feedback. (English) Zbl 0516.93037 Syst. Control Lett. 3, 57-62 (1983). MSC: 93D15 93B25 93D25 13B25 15B33 93C05 PDFBibTeX XMLCite \textit{E. Emre}, Syst. Control Lett. 3, 57--62 (1983; Zbl 0516.93037) Full Text: DOI
Poolla, Kameshwar R.; Khargonekar, Pramod P. Fractional representations for systems over a P.I.D.: A constructive technique. (English) Zbl 0515.93014 Syst. Control Lett. 3, 145-150 (1983). MSC: 93B25 13F10 15A23 93B05 93B20 93C05 93B40 PDFBibTeX XMLCite \textit{K. R. Poolla} and \textit{P. P. Khargonekar}, Syst. Control Lett. 3, 145--150 (1983; Zbl 0515.93014) Full Text: DOI
Wimmer, H. K. The algebraic Riccati equation without complete controllability. (English) Zbl 0524.15009 SIAM J. Algebraic Discrete Methods 3, 1-12 (1982). MSC: 15A24 49J15 93B05 PDFBibTeX XMLCite \textit{H. K. Wimmer}, SIAM J. Algebraic Discrete Methods 3, 1--12 (1982; Zbl 0524.15009) Full Text: DOI
Cain, Bryan E. Inertia theory. (English) Zbl 0441.47030 Linear Algebra Appl. 30, 211-240 (1980). MSC: 47A99 47A10 47A12 15A99 15A18 PDFBibTeX XMLCite \textit{B. E. Cain}, Linear Algebra Appl. 30, 211--240 (1980; Zbl 0441.47030) Full Text: DOI
Hearon, John Z. Nonsingular solutions of TA-BT=C. (English) Zbl 0368.15007 Linear Algebra Appl. 16, 57-63 (1977). MSC: 15A24 PDFBibTeX XMLCite \textit{J. Z. Hearon}, Linear Algebra Appl. 16, 57--63 (1977; Zbl 0368.15007) Full Text: DOI
Wimmer, Harald K. Inertia theorems for matrices, controllability, and linear vibrations. (English) Zbl 0288.15015 Linear Algebra Appl. 8, 337-343 (1974). MSC: 15A18 15A24 93B99 70J10 PDFBibTeX XMLCite \textit{H. K. Wimmer}, Linear Algebra Appl. 8, 337--343 (1974; Zbl 0288.15015) Full Text: DOI