Generalized Bezoutian for a periodic collection of rational matrices

Carmen Coll; Rafael Bru; Vicente Hernández

Kybernetika (1994)

  • Volume: 30, Issue: 4, page 393-402
  • ISSN: 0023-5954

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Coll, Carmen, Bru, Rafael, and Hernández, Vicente. "Generalized Bezoutian for a periodic collection of rational matrices." Kybernetika 30.4 (1994): 393-402. <http://eudml.org/doc/27315>.

@article{Coll1994,
author = {Coll, Carmen, Bru, Rafael, Hernández, Vicente},
journal = {Kybernetika},
keywords = {discrete-time; linear; periodic systems; minimal periodic realizations; Bézoutian matrix},
language = {eng},
number = {4},
pages = {393-402},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Generalized Bezoutian for a periodic collection of rational matrices},
url = {http://eudml.org/doc/27315},
volume = {30},
year = {1994},
}

TY - JOUR
AU - Coll, Carmen
AU - Bru, Rafael
AU - Hernández, Vicente
TI - Generalized Bezoutian for a periodic collection of rational matrices
JO - Kybernetika
PY - 1994
PB - Institute of Information Theory and Automation AS CR
VL - 30
IS - 4
SP - 393
EP - 402
LA - eng
KW - discrete-time; linear; periodic systems; minimal periodic realizations; Bézoutian matrix
UR - http://eudml.org/doc/27315
ER -

References

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  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. (1976) MR0444175
  2. T. M. Bakri, The Bezoutian, the Hankel matrix, output feedback and system eigenstructure, Internat. J. Control 50 (1989), 2075-2084. (1989) Zbl0686.93040MR1032449
  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. (1994) MR1275515
  4. I. Gohberg M. A. Kaashoek, L. Lerer, Minimality and realization of discrete time-varying systems, Oper. Theory: Adv. Appl. 56 (1992), 261-296. (1992) MR1173922
  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. (1990) Zbl0706.15003MR1067680
  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. (1988) Zbl0662.93015MR0962108
  7. U. Helmke, P. A. Fuhrmann, Bezoutians, Linear Algebra Appl. 122-124 (1989), 1039-1097. (1989) Zbl0679.93009MR1020019
  8. L. Lerer, M. Tismenestsky, Generalized Bezoutian and matrix equations, Linear Algebra Appl. 99 (1988), 123-160. (1988) MR0925154
  9. E. Sánchez V. Hernández, R. Bru, Minimal realizations for discrete-time linear periodic systems, Linear Algebra Appl. 162-164 (1992), 685-708. (1992) MR1148426
  10. H. K. Wimmer, Bezoutians of polynomial matrices and their generalized inverse, Linear Algebra Appl. 122-124 (1989), 475-487. (1989) MR1019998

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