Minimal realizations of the inverse of a polynomial matrix using finite and infinite Jordan pairs
Kybernetika, Tome 30 (1994) no. 6, pp. 607-616 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 93B15, 93B20, 93B25, 93C35
@article{KYB_1994_30_6_a4,
     author = {Fragulis, George F.},
     title = {Minimal realizations of the inverse of a polynomial matrix using finite and infinite {Jordan} pairs},
     journal = {Kybernetika},
     pages = {607--616},
     year = {1994},
     volume = {30},
     number = {6},
     mrnumber = {1323663},
     zbl = {0829.93012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_1994_30_6_a4/}
}
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
SP  - 607
EP  - 616
VL  - 30
IS  - 6
UR  - http://geodesic.mathdoc.fr/item/KYB_1994_30_6_a4/
LA  - en
ID  - KYB_1994_30_6_a4
ER  - 
%0 Journal Article
%A Fragulis, George F.
%T Minimal realizations of the inverse of a polynomial matrix using finite and infinite Jordan pairs
%J Kybernetika
%D 1994
%P 607-616
%V 30
%N 6
%U http://geodesic.mathdoc.fr/item/KYB_1994_30_6_a4/
%G en
%F KYB_1994_30_6_a4
Fragulis, George F. Minimal realizations of the inverse of a polynomial matrix using finite and infinite Jordan pairs. Kybernetika, Tome 30 (1994) no. 6, pp. 607-616. http://geodesic.mathdoc.fr/item/KYB_1994_30_6_a4/

[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. | MR

[2] L. Dai: Singular Control Systems. Springer-Verlag, Berlin 1989. | MR | Zbl

[3] G. F. Fragulis: Analysis of Generalized Singular Systems. Ph.D. Dissertation, Aristotle Univ. of Thessaloniki, Thessaloniki, Greece 1990.

[4] F. R. Gantmacher: Theory of Matrices. Chelsea, New York 1959. | Zbl

[5] I. Gohberg P. Lancaster, L. Rodman: Matrix Polynomials. Academic Press, New York--London 1982. | MR

[6] H. H. Rosenbrock: State-Space and Multivariable Theory. Wiley, New York 1970. | MR | Zbl

[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.

[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. | MR

[9] A. I. G. Vardulakis: Linear Multivariable Control: Algebraic Analysis and Synthesis Methods. Wiley, New York 1991. | MR | Zbl

[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. | MR | Zbl

[11] N. Cohen: Spectral analysis of regular matrix polynomials. Integral Equations Operator Theory 6 (1983), 161-183. | MR | Zbl