Computation of irreducible generalized state-space realizations

Andràs Varga

Kybernetika (1990)

  • Volume: 26, Issue: 2, page 89-106
  • ISSN: 0023-5954

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Varga, Andràs. "Computation of irreducible generalized state-space realizations." Kybernetika 26.2 (1990): 89-106. <http://eudml.org/doc/27841>.

@article{Varga1990,
author = {Varga, Andràs},
journal = {Kybernetika},
keywords = {irreducible generalized state-space realizations; order reduction; orthogonal similarity transformations; time-invariant},
language = {eng},
number = {2},
pages = {89-106},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Computation of irreducible generalized state-space realizations},
url = {http://eudml.org/doc/27841},
volume = {26},
year = {1990},
}

TY - JOUR
AU - Varga, Andràs
TI - Computation of irreducible generalized state-space realizations
JO - Kybernetika
PY - 1990
PB - Institute of Information Theory and Automation AS CR
VL - 26
IS - 2
SP - 89
EP - 106
LA - eng
KW - irreducible generalized state-space realizations; order reduction; orthogonal similarity transformations; time-invariant
UR - http://eudml.org/doc/27841
ER -

References

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  1. P. M. Van Dooren, The generalized eigenstructure problem in linear system theory, IEEE Trans. Automat. Control AC-26 (1981), 111-129. (1981) Zbl0462.93013MR0609253
  2. C C Paige, Properties of numerical algorithms related to computing controllability, IEEE Trans. Autom. Control AC-26 (1981), 130-138. (1981) Zbl0463.93024MR0609254
  3. K.-W. E. Chu, A controllability condensed form and a state feedback pole assignment algorithm for descriptor systems, IEEE Trans. Automat. Control AC-33 (1988), 366-370. (1988) Zbl0635.93033MR0931199
  4. J. D. Cobb, Feedback and pole-placement in descriptor variable systems, Internat. J. Control 33 (1981), 1135-1146. (1981) Zbl0464.93039MR0624176
  5. G. W. Stewart, Introduction to Matrix Computations, Academic Press, New York 1973. (1973) Zbl0302.65021MR0458818
  6. A. Varga, Numerically stable algorithm for standard controllability form determination, Electron. Lett. 17 (1981), 74-75. (1981) 
  7. G. S. Miminis, C. C Paige, An algorithm for pole assignment of time invariant linear systems, Internat. J. Control 35 (1982), 341 - 354. (1982) Zbl0478.93022MR0663644
  8. A. Varga, Computation of Transfer Function Matrices of Generalized State-Space Models, Technical Report, RR-270.1/1988, Inst. Computers & Informatics, Bucharest. (1988) MR1036180
  9. H. H. Rosenbrock, State-Space and Multivariable Theory, J. Wiley and Sons, New York 1970. (1970) Zbl0246.93010MR0325201
  10. C B. Moler, G. W. Stewart, An algorithm for generalized matrix eigenvalue problems, SIAM J. Numer. Anal. 10 (1973), 241-256. (1973) Zbl0253.65019MR0345399
  11. A. Varga, Computation of Zeros of Descriptor Systems (report in preparation), 1988 

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