A classification of generalised state space reduction methods for linear multivariable systems

Nikolas P. Karampetakis; Antonis I. G. Vardulakis; Ashley Clive Pugh

Kybernetika (1995)

  • Volume: 31, Issue: 6, page 547-557
  • ISSN: 0023-5954

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Karampetakis, Nikolas P., Vardulakis, Antonis I. G., and Pugh, Ashley Clive. "A classification of generalised state space reduction methods for linear multivariable systems." Kybernetika 31.6 (1995): 547-557. <http://eudml.org/doc/28435>.

@article{Karampetakis1995,
author = {Karampetakis, Nikolas P., Vardulakis, Antonis I. G., Pugh, Ashley Clive},
journal = {Kybernetika},
keywords = {linear multivariable system; polynomial matrix model; equivalence; realization; reduction algorithms},
language = {eng},
number = {6},
pages = {547-557},
publisher = {Institute of Information Theory and Automation AS CR},
title = {A classification of generalised state space reduction methods for linear multivariable systems},
url = {http://eudml.org/doc/28435},
volume = {31},
year = {1995},
}

TY - JOUR
AU - Karampetakis, Nikolas P.
AU - Vardulakis, Antonis I. G.
AU - Pugh, Ashley Clive
TI - A classification of generalised state space reduction methods for linear multivariable systems
JO - Kybernetika
PY - 1995
PB - Institute of Information Theory and Automation AS CR
VL - 31
IS - 6
SP - 547
EP - 557
LA - eng
KW - linear multivariable system; polynomial matrix model; equivalence; realization; reduction algorithms
UR - http://eudml.org/doc/28435
ER -

References

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  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. (1985) MR0804857
  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. (1981) MR0610894
  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. (1990) MR1061020
  4. N. P. Karampetakis, A. I. G. Vardulakis, Matrix fractions and full system equivalence, IMA J. Math. Control Inform. 9 (1992), 147-160. (1992) Zbl0777.93052MR1193789
  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. (1993) Zbl0807.93009MR1376225
  6. T. Shaohua, J. Vandewalle, A singular system realisation for arbitrary matrix fraction descriptions, In: ISCAS'88, pp. 615-618. 
  7. A. I. G. Vardulakis, Linear Multivariable Control, Algebraic Analysis and Synthesis Methods, Nelson-Wiley, London 1991. (1991) Zbl0751.93002MR1104222
  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. (1991) 
  9. G. C. Verghese, Infinite Frequency Behavior in Generalized Dynamical Systems, PҺ.D. Dissertation, Stanford Univ., Stanford, CA 1978. (1978) 
  10. W. A. Wolovich, Linear Multivariable Systems, Springer-Verlag, New York 1974. (1974) Zbl0291.93002MR0359881

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