Invariants and canonical forms for linear multivariable systems under the action of orthogonal transformation groups

Michail M. Konstantinov; Petko Hr. Petkov; Nicolai D. Christov

Kybernetika (1981)

  • Volume: 17, Issue: 5, page 413-424
  • ISSN: 0023-5954

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Konstantinov, Michail M., Petkov, Petko Hr., and Christov, Nicolai D.. "Invariants and canonical forms for linear multivariable systems under the action of orthogonal transformation groups." Kybernetika 17.5 (1981): 413-424. <http://eudml.org/doc/28657>.

@article{Konstantinov1981,
author = {Konstantinov, Michail M., Petkov, Petko Hr., Christov, Nicolai D.},
journal = {Kybernetika},
keywords = {invariants; canonical forms; linear multivariable systems; orthogonal transformation groups; stable computational algorithms},
language = {eng},
number = {5},
pages = {413-424},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Invariants and canonical forms for linear multivariable systems under the action of orthogonal transformation groups},
url = {http://eudml.org/doc/28657},
volume = {17},
year = {1981},
}

TY - JOUR
AU - Konstantinov, Michail M.
AU - Petkov, Petko Hr.
AU - Christov, Nicolai D.
TI - Invariants and canonical forms for linear multivariable systems under the action of orthogonal transformation groups
JO - Kybernetika
PY - 1981
PB - Institute of Information Theory and Automation AS CR
VL - 17
IS - 5
SP - 413
EP - 424
LA - eng
KW - invariants; canonical forms; linear multivariable systems; orthogonal transformation groups; stable computational algorithms
UR - http://eudml.org/doc/28657
ER -

References

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  2. P. Brunovsk7, A classification of linear controllable systems, Ky bernetika 3 (1970), 173 - 187. (1970) MR0284247
  3. R. E. Kalman, Kronecker invariants and feedback, Proc. NRL-MRC Conf. (L. Weiss Ed.), Academic Press, N.Y. 1972, pp. 459-471. (1972) Zbl0308.93008MR0421751
  4. V. M. Popov, Invariant description of linear time-invariant controllable systems, SIAM J. Control 10 (1972), 252-264. (1972) Zbl0251.93014MR0479501
  5. M. J. Denham, Canonical forms for the identification of linear multivariable systems, IEEE Trans. Autom. Control AC-19 (1974), 646-656. (1974) MR0437153
  6. K. Glover J. C. Willems, Parametrization of linear dynamical systems: Canonical forms and identifiability, IEEE Trans. Autom. Control AC-19 (1974), 640-646. (1974) MR0439305
  7. J. Rissanen, Basis of invariants and canonical forms for linear dynamic systems, Automatica 70 (1974), 175-182. (1974) Zbl0307.93010MR0484602
  8. O. H. Bosgra A. J. J. Van der Weiden, Input-output invariants for linear multivariable systems, IEEE Trans. Autom. Control AC-25 (1980), 20-36. (1980) MR0561336
  9. M. M. Konstantinov P. Hr. Petkov N. D. Christov, Synthesis of linear systems with desired equivalent form, J. Comp. & Appl. Math. 6 (1980), 27-35. (1980) MR0568600
  10. M. M. Konstantinov S. P. Patarinski P. Hr. Petkov N. D. Christov, Synthesis of linear control systems with prescribed dynamics, Proc. First Internat. Conf. on Math. Modeling, Aug. 1977 St. Louis (Miss.) vol. 3, pp. 1639-1648. (1977) 
  11. M. M. Konstantinov P. Hr. Petkov N. D. Christov, The serial canonical form and synthesis of linear multivariable systems, Podstawy Sterowania 9 (1979), 295 - 308. (1979) MR0552252
  12. M. M. Konstantinov P. Hr. Petkov N. D. Christov, Synthesis of linear multivariable systems with prescribed equivalent form, Systems Sci. 5 (1979), 381 - 394. (1979) MR0572039
  13. D. Jordan B. Sridhar, An efficient algorithm for calculation of Luenberger canonical form, IEEE Trans. Autom. Control AC-18 (1973), 292-295. (1973) MR0441428
  14. K. B. Datta, An algorithm to compute canonical forms in multivariable control systems, IEEE Trans. Autom. Control AC-22 (1977), 129-132. (1977) Zbl0346.93009MR0444149
  15. J. Hickin N. K. Sinha, An efficient algorithm for transformation to canonical forms, IEEE Trans. Autom. Control AC-22 (1977), 652-653. (1977) 
  16. E. J. Davison W. Gesing S. H. Wang, An algorithm for obtaining the minimal realization of a linear time-invariant system and determining if a system is stabilizable-detectable, Proc. 1977 IEEE Conf. on Dec. & Control, pp. 777-781. (1977) MR0513977
  17. J. D. Aplevich, Direct computation of canonical forms for linear systems by elementary matrix operations, IEEE Trans. Autom. Control AC-19 (1974), 124-126. (1974) Zbl0309.93008MR0398644
  18. B. T. Smith J. M. Boyle J. J. Dongarra B. S. Garbow Y. Ikebe V. C. Klema C. B. Moler, Matrix Eigensystem Routines-EISPACK Guide, Springer-Verlag, Berlin 1976. (1976) MR0494879
  19. J. J. Dongarra J. R. Bunch C. B. Moler G. W.Stewart, LINPACK Users' Guide, SIAM, Philadelphia 1979. (1979) 

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