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Title: Generalized Bezoutian for a periodic collection of rational matrices (English)
Author: Coll, Carmen
Author: Bru, Rafael
Author: Hernández, Vicente
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 30
Issue: 4
Year: 1994
Pages: 393-402
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Category: math
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MSC: 15A15
MSC: 93B15
MSC: 93B20
MSC: 93B25
MSC: 93C55
idZBL: Zbl 0828.93014
idMR: MR1303291
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Date available: 2009-09-24T18:48:50Z
Last updated: 2012-06-06
Stable URL: http://hdl.handle.net/10338.dmlcz/124160
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Reference: [1] B. D. O. Anderson, E. I. Jury: Generalized Bezoutian and Silvester matrices in multivariable linear control.IEEE Trans. Automat. Control AC-21 (1976), 551-556. MR 0444175
Reference: [2] T. M. Bakri: The Bezoutian, the Hankel matrix, output feedback and system eigenstructure.Internat. J. Control 50 (1989), 2075-2084. Zbl 0686.93040, MR 1032449
Reference: [3] C. Coll R. Bru V. Hernández, E. Sánchez: Discrete-time periodic realizations in the frequency domain.Linear Algebra Appl. 203-204 (1994), 301-326. MR 1275515
Reference: [4] I. Gohberg M. A. Kaashoek, L. Lerer: Minimality and realization of discrete time-varying systems.Oper. Theory: Adv. Appl. 56 (1992), 261-296. MR 1173922
Reference: [5] I. Gohberg, T. Shalom: On Bezoutians of nonsquare matrix polynomials and inversion of matrices with nonsquare blocks.Linear Algebra Appl. 137-138 (1990), 249-323. Zbl 0706.15003, MR 1067680
Reference: [6] O. M. Grasselli, S. Longhi: Zeros and poles of linear periodic multivariable discrete-time systems.Circuits Systems Signal Process 7 (1988), 3, 361-380. Zbl 0662.93015, MR 0962108
Reference: [7] U. Helmke, P. A. Fuhrmann: Bezoutians.Linear Algebra Appl. 122-124 (1989), 1039-1097. Zbl 0679.93009, MR 1020019
Reference: [8] L. Lerer, M. Tismenestsky: Generalized Bezoutian and matrix equations.Linear Algebra Appl. 99 (1988), 123-160. MR 0925154
Reference: [9] E. Sánchez V. Hernández, R. Bru: Minimal realizations for discrete-time linear periodic systems.Linear Algebra Appl. 162-164 (1992), 685-708. MR 1148426
Reference: [10] H. K. Wimmer: Bezoutians of polynomial matrices and their generalized inverse.Linear Algebra Appl. 122-124 (1989), 475-487. MR 1019998
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