Geodesic
Generalized Bezoutian for a periodic collection of rational matrices
Kybernetika, Tome 30 (1994) no. 4, pp. 393-402 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Classification : 15A15, 93B15, 93B20, 93B25, 93C55 
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     title = {Generalized {Bezoutian} for a periodic collection of rational matrices},
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     zbl = {0828.93014},
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     url = {http://geodesic.mathdoc.fr/item/KYB_1994_30_4_a2/}
}
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Coll, Carmen; Bru, Rafael; Hernández, Vicente. Generalized Bezoutian for a periodic collection of rational matrices. Kybernetika, Tome 30 (1994) no. 4, pp. 393-402. http://geodesic.mathdoc.fr/item/KYB_1994_30_4_a2/

[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

[2] T. M. Bakri: The Bezoutian, the Hankel matrix, output feedback and system eigenstructure. Internat. J. Control 50 (1989), 2075-2084. | MR | Zbl

[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

[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

[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. | MR | Zbl

[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. | MR | Zbl

[7] U. Helmke, P. A. Fuhrmann: Bezoutians. Linear Algebra Appl. 122-124 (1989), 1039-1097. | MR | Zbl

[8] L. Lerer, M. Tismenestsky: Generalized Bezoutian and matrix equations. Linear Algebra Appl. 99 (1988), 123-160. | MR

[9] E. Sánchez V. Hernández, R. Bru: Minimal realizations for discrete-time linear periodic systems. Linear Algebra Appl. 162-164 (1992), 685-708. | MR

[10] H. K. Wimmer: Bezoutians of polynomial matrices and their generalized inverse. Linear Algebra Appl. 122-124 (1989), 475-487. | MR