A simple definition of hidden modes, poles and zeros

Michel Fliess

Kybernetika (1991)

  • Volume: 27, Issue: 3, page 186-189
  • ISSN: 0023-5954

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Fliess, Michel. "A simple definition of hidden modes, poles and zeros." Kybernetika 27.3 (1991): 186-189. <http://eudml.org/doc/28963>.

@article{Fliess1991,
author = {Fliess, Michel},
journal = {Kybernetika},
keywords = {hidden modes; poles; multivariable constant linear systems; module theory},
language = {eng},
number = {3},
pages = {186-189},
publisher = {Institute of Information Theory and Automation AS CR},
title = {A simple definition of hidden modes, poles and zeros},
url = {http://eudml.org/doc/28963},
volume = {27},
year = {1991},
}

TY - JOUR
AU - Fliess, Michel
TI - A simple definition of hidden modes, poles and zeros
JO - Kybernetika
PY - 1991
PB - Institute of Information Theory and Automation AS CR
VL - 27
IS - 3
SP - 186
EP - 189
LA - eng
KW - hidden modes; poles; multivariable constant linear systems; module theory
UR - http://eudml.org/doc/28963
ER -

References

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  2. F. M. Callier, C A. Desoer, Multivariable Feedback Systems, Springer-Verlag, New York 1982. (1982) 
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  5. M. Fliess, Generalized linear systems with lumped or distributed parameters, Internat. J. Control 49 (1989), 1989-1999. (1989) Zbl0684.93001MR1007694
  6. M. Fliess, Commandabilite, matrices de transfert et modes caches, C R. Acad. Sci. Paris Ser. I. Math. 1-309 (1989), 847-851. (1989) Zbl0685.93009
  7. M. Fliess, Geometric interpretation of the zeros and of the hidden modes of a constant linear system via a renewed realization theory, Proc. IFAC Workshop "System Structure and Control: State-space and Polynomial Methods", Prague 1989, pp. 209-213. (1989) 
  8. M. Fliess, Some basic structural properties of generalized linear systems, Systems Control Lett. 75 (1990), 391-396. (1990) Zbl0727.93024MR1084580
  9. B. A. Francis, W. M. Wonham, The role of transmission zeros in linear multivariable regulators, Internat. J. Control 22 (1975), 657-681. (1975) Zbl0321.93016MR0456674
  10. T. Kailath, Linear Systems, Prentice-Hall, Englewood-Cliffs, N. J. 1980. (1980) Zbl0454.93001MR0569473
  11. S. Lang, Algebra, Addison-Wesley, Reading, MA 1965. (1965) Zbl0193.34701MR0197234
  12. A. G. J. MacFarlane, N. Karkanias, Poles and zeros of linear multivariable systems: A survey of the algebraic, geometric and complex variable theory, Internat. J. Control 24 (1976), 33-74. (1976) MR0418989
  13. H. H. Rosenbrock, State Space and Multivariable Theory, Nelson, London 1970. (1970) Zbl0246.93010MR0325201
  14. C E. Schrader, M. K. Sain, Research on system zeros: A survey, Interr.at. J. Control 50 (1989), 1407-1433. (1989) Zbl0686.93036MR1028424
  15. W. M. Wonham, Linear Multivariable Control: A Geometric Approach, Third edition. Springer-Verlag, New York-Berlin-Heidelberg 1985. (1985) Zbl0609.93001MR0770574
  16. B. F. Wyman, M. K. Sain, Module theoretic zero structures for system matrices, SIAM J. Contiol Optim. 25 (1787), 86-99. Zbl0617.93010MR0872453

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