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Title: A classification of generalised state space reduction methods for linear multivariable systems (English)
Author: Karampetakis, N. P.
Author: Vardulakis, A. I. G.
Author: Pugh, A. C.
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 31
Issue: 6
Year: 1995
Pages: 547-557
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Category: math
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MSC: 93B11
MSC: 93B25
MSC: 93C05
MSC: 93C35
idZBL: Zbl 0859.93024
idMR: MR1374144
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Date available: 2009-09-24T18:58:42Z
Last updated: 2012-06-06
Stable URL: http://hdl.handle.net/10338.dmlcz/125280
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Reference: [1] B. D. O. Anderson W. A. Coppel, D. J. Cullen: Strong system equivalence (I).J. Austral. Math. Soc. Ser. B 27 (1985), 194-222. MR 0804857
Reference: [2] O. H. Bosgra, A. J. J. Van Der Weiden: Realisations in generalised state-space form for polynomial system matrices, and the defìnition of poles, zeros and decoupling zeros at infinity.Internat. J. Control 33 (1981), 393-411. MR 0610894
Reference: [3] G. E. Hayton A. B. Walker, A. C. Pugh: Infinite frequency structure preserving transformations for general polynomial system matrices.Internat. J. Control 52 (1990), 1-14. MR 1061020
Reference: [4] N. P. Karampetakis, A. I. G. Vardulakis: Matrix fractions and full system equivalence.IMA J. Math. Control Inform. 9 (1992), 147-160. Zbl 0777.93052, MR 1193789
Reference: [5] N. P. Karampetakis, A. I. G. Vardulakis: Generalized state-space system matrix equivalents of a Rosenbrock system matrix.IMA J. Math. Control Inform. 10 (1993), 323-344. Zbl 0807.93009, MR 1376225
Reference: [6] T. Shaohua, J. Vandewalle: A singular system realisation for arbitrary matrix fraction descriptions.In: ISCAS'88, pp. 615-618.
Reference: [7] A. I. G. Vardulakis: Linear Multivariable Control, Algebraic Analysis and Synthesis Methods.Nelson-Wiley, London 1991. Zbl 0751.93002, MR 1104222
Reference: [8] A. I. G. Vardulakis: On the transformation of a polynomial matrix model of a linear multivariable system to generalised state space form.In: Proceedings of the З0th IEEE Conference on Decision and Control, Brighton 1991, U.K., pp. 11-13.
Reference: [9] G. C. Verghese: Infinite Frequency Behavior in Generalized Dynamical Systems.PҺ.D. Dissertation, Stanford Univ., Stanford, CA 1978.
Reference: [10] W. A. Wolovich: Linear Multivariable Systems.Springer-Verlag, New York 1974. Zbl 0291.93002, MR 0359881
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