Minimal realizations of the inverse of a polynomial matrix using finite and infinite Jordan pairs

George F. Fragulis

Kybernetika (1994)

  • Volume: 30, Issue: 6, page 607-616
  • ISSN: 0023-5954

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Fragulis, George F.. "Minimal realizations of the inverse of a polynomial matrix using finite and infinite Jordan pairs." Kybernetika 30.6 (1994): 607-616. <http://eudml.org/doc/28650>.

@article{Fragulis1994,
author = {Fragulis, George F.},
journal = {Kybernetika},
keywords = {polynomial matrix description; minimal state space realization; inverse of a polynomial matrix},
language = {eng},
number = {6},
pages = {607-616},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Minimal realizations of the inverse of a polynomial matrix using finite and infinite Jordan pairs},
url = {http://eudml.org/doc/28650},
volume = {30},
year = {1994},
}

TY - JOUR
AU - Fragulis, George F.
TI - Minimal realizations of the inverse of a polynomial matrix using finite and infinite Jordan pairs
JO - Kybernetika
PY - 1994
PB - Institute of Information Theory and Automation AS CR
VL - 30
IS - 6
SP - 607
EP - 616
LA - eng
KW - polynomial matrix description; minimal state space realization; inverse of a polynomial matrix
UR - http://eudml.org/doc/28650
ER -

References

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  1. G. B. V. Verghese T. Levy, T. Kailath, A generalised state-space for singular systems, IEEE Trans. Automat. Control AC-26 (1981), 4, 811-831. (1981) MR0635842
  2. L. Dai, Singular Control Systems, Springer-Verlag, Berlin 1989. (1989) Zbl0669.93034MR0986970
  3. G. F. Fragulis, Analysis of Generalized Singular Systems, Ph.D. Dissertation, Aristotle Univ. of Thessaloniki, Thessaloniki, Greece 1990. (1990) 
  4. F. R. Gantmacher, Theory of Matrices, Chelsea, New York 1959. (1959) Zbl0085.01001
  5. I. Gohberg P. Lancaster, L. Rodman, Matrix Polynomials, Academic Press, New York--London 1982. (1982) MR0662418
  6. H. H. Rosenbrock, State-Space and Multivariable Theory, Wiley, New York 1970. (1970) Zbl0246.93010MR0325201
  7. A. J. J. Van der Weiden, The Use of Structural Properties in Linear Multivariable Control System Design, Ph.D. Dissertation, Delft University of Technology, The Netherlands 1983. (1983) 
  8. A. I. G. Vardulakis D. Limebeer, N. Karcanias, Structure and Smith-McMillan form of a rational matrix at infinity, Internat. J. Control 35 (1982), 4, 701. (1982) MR0669973
  9. A. I. G. Vardulakis, Linear Multivariable Control: Algebraic Analysis and Synthesis Methods, Wiley, New York 1991. (1991) Zbl0751.93002MR1104222
  10. A. I. G. Vardulakis, G. F. Fragulis, Infinite elementary divisors of polynomial matrices and impulsive solutions of linear homogeneous matrix differential equations, Circuits Systems Signal Process. 8 (1989), 3, 357-373. (1989) Zbl0678.34002MR1015177
  11. N. Cohen, Spectral analysis of regular matrix polynomials, Integral Equations Operator Theory 6 (1983), 161-183. (1983) Zbl0521.15015MR0720106

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