Notes on a hierarchical theory of systems and applications

Nikolas P. Karampetakis; Ashley Clive Pugh; G. E. Hayton

Kybernetika (1997)

  • Volume: 33, Issue: 2, page 185-201
  • ISSN: 0023-5954

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Karampetakis, Nikolas P., Pugh, Ashley Clive, and Hayton, G. E.. "Notes on a hierarchical theory of systems and applications." Kybernetika 33.2 (1997): 185-201. <http://eudml.org/doc/27458>.

@article{Karampetakis1997,
author = {Karampetakis, Nikolas P., Pugh, Ashley Clive, Hayton, G. E.},
journal = {Kybernetika},
keywords = {multivariable system; hierarchical theory; system equivalence; transformation; linear time-invariant system; subsystems; impulsive behavior},
language = {eng},
number = {2},
pages = {185-201},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Notes on a hierarchical theory of systems and applications},
url = {http://eudml.org/doc/27458},
volume = {33},
year = {1997},
}

TY - JOUR
AU - Karampetakis, Nikolas P.
AU - Pugh, Ashley Clive
AU - Hayton, G. E.
TI - Notes on a hierarchical theory of systems and applications
JO - Kybernetika
PY - 1997
PB - Institute of Information Theory and Automation AS CR
VL - 33
IS - 2
SP - 185
EP - 201
LA - eng
KW - multivariable system; hierarchical theory; system equivalence; transformation; linear time-invariant system; subsystems; impulsive behavior
UR - http://eudml.org/doc/27458
ER -

References

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  1. O. H. Bosgra, A. J. J. Van Der Weiden, Realizations in generalized state-space form for polynomial system matrices and the definition of poles, zeros and decoupling zeros at infinity, Internat. J. Control 33 (1981), 393-411. (1981) MR0610894
  2. G. E. Hayton A. C. Pugh, P. Fretwell, Infinite elementary divisors of a matrix polynomial and implications, Internat. J. Control 47 (1988), 53-64. (1988) MR0929725
  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, Generalized state space system matrix equivalents of a Rosenbrock system matrix, IMA J. Control Inform. 10 (1993), 323-344. (1993) Zbl0807.93009MR1376225
  5. N. P. Karampetakis A. C. Pugh A. I. G. Vardulakis, G. E. Hayton, Generalized state space representations for linear multivariable systems, In: Proceedings of the IEEE Mediterranean Symposium on New Directions in Control Theory and Applications, Chania 1994, pp. 209-216. (1994) 
  6. H. H. Rosenbrock, State Space and Multivariable Theory, Nelson, London 1970. (1970) Zbl0246.93010MR0325201
  7. H. H. Rosenbrock, A. C. Pugh, Contributions to a hierarchical theory of systems, Internat. J. Control 19 (1974), 845-867. (1974) Zbl0286.93002MR0359888
  8. A. I. G. Vardulakis, On the transformation of a polynomial matrix model of a linear multivariable system to generalized state space form, In: Proceedings of the 30th IEEE Conference on Decision and Control, Brighton 1991. (1991) 
  9. G. C. Verghese, Infinite-frequency Behavior in Generalized Dynamical Systems, Ph. D. Dissertation, Stanford University, Stanford 1978. (1978) 

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