Equivalence, invariance and dynamical system canonical modelling. I. Invariant properties of observable models and associated transformations

Roberto P. Guidorzi

Kybernetika (1989)

  • Volume: 25, Issue: 4, page 233-257
  • ISSN: 0023-5954

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Guidorzi, Roberto P.. "Equivalence, invariance and dynamical system canonical modelling. I. Invariant properties of observable models and associated transformations." Kybernetika 25.4 (1989): 233-257. <http://eudml.org/doc/28979>.

@article{Guidorzi1989,
author = {Guidorzi, Roberto P.},
journal = {Kybernetika},
keywords = {linear observable multivariable systems; invariants; equivalence relations},
language = {eng},
number = {4},
pages = {233-257},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Equivalence, invariance and dynamical system canonical modelling. I. Invariant properties of observable models and associated transformations},
url = {http://eudml.org/doc/28979},
volume = {25},
year = {1989},
}

TY - JOUR
AU - Guidorzi, Roberto P.
TI - Equivalence, invariance and dynamical system canonical modelling. I. Invariant properties of observable models and associated transformations
JO - Kybernetika
PY - 1989
PB - Institute of Information Theory and Automation AS CR
VL - 25
IS - 4
SP - 233
EP - 257
LA - eng
KW - linear observable multivariable systems; invariants; equivalence relations
UR - http://eudml.org/doc/28979
ER -

References

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  1. W. A. Wolovich, Linear Multivariable Systems, Springer-Verlag, Berlin--Heidelberg--New York 1974. (1974) Zbl0291.93002MR0359881
  2. J. Rissanen, Basis of invariants and canonical forms for linear dynamical systems, Automatica 10 (1974), 175-182. (1974) MR0484602
  3. G. Birkoff, S. MacLane, A Survey of Modern Algebra, Macmillan, New York 1970. (1970) 
  4. V. M. Popov, Invariant description of linear time-invariant controllable systems, SIAM J. Control 10 (1972), 252-264. (1972) Zbl0251.93014MR0479501
  5. R. E. Kalman, Kronecker invariants and feedback, In: Ordinary Differential Equations (L. Weiss, ed.), Academic Press, New York 1972, pp. 459-471. (1972) Zbl0308.93008MR0421751
  6. F. R. Gantmacher, Theory of Matrices, Chelsea, New York 1959. (1959) Zbl0085.01001
  7. M. S. Caroli, R. P. Guidorzi, Algebraical links between multicompanion structures, Richerche di Automatica 4 (1973), 1-17. (1973) 
  8. S. Beghelli, R. P. Guidorzi, A new input-output canonical form for multivariable systems, IEEE Trans. Automat. Control AC-21 (1976), 692-696. (1976) Zbl0332.93018MR0416675
  9. S. Beghelli, R. P. Guidorzi, Addendum to "A new input-outpul canonical form for multivariable system", IEEE Trans. Automat. Control AC-23 (1978), 93. (1978) MR0472148
  10. R. P. Guidorzi, Canonical structures in the identification of multivariable systems, Automatica 11 (1975), 361-374. (1975) Zbl0309.93012MR0444226
  11. R. P. Guidorzi, S. Beghelli, Input-output multistructural models in multivariable systems identification, In: Preprints of the 6th IFAC Symp. on Identification and System Parameter Estimation, Washington D. C., 1982, pp. 461-465. (1982) MR0795333

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