| Title:
|
Minimal realizations of the inverse of a polynomial matrix using finite and infinite Jordan pairs (English) |
| Author:
|
Fragulis, George F. |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
30 |
| Issue:
|
6 |
| Year:
|
1994 |
| Pages:
|
607-616 |
| . |
| Category:
|
math |
| . |
| MSC:
|
93B15 |
| MSC:
|
93B20 |
| MSC:
|
93B25 |
| MSC:
|
93C35 |
| idZBL:
|
Zbl 0829.93012 |
| idMR:
|
MR1323663 |
| . |
| Date available:
|
2009-09-24T18:51:31Z |
| Last updated:
|
2012-06-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125495 |
| . |
| Reference:
|
[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 0635842 |
| Reference:
|
[2] L. Dai: Singular Control Systems.Springer-Verlag, Berlin 1989. Zbl 0669.93034, MR 0986970 |
| Reference:
|
[3] G. F. Fragulis: Analysis of Generalized Singular Systems.Ph.D. Dissertation, Aristotle Univ. of Thessaloniki, Thessaloniki, Greece 1990. |
| Reference:
|
[4] F. R. Gantmacher: Theory of Matrices.Chelsea, New York 1959. Zbl 0085.01001 |
| Reference:
|
[5] I. Gohberg P. Lancaster, L. Rodman: Matrix Polynomials.Academic Press, New York--London 1982. MR 0662418 |
| Reference:
|
[6] H. H. Rosenbrock: State-Space and Multivariable Theory.Wiley, New York 1970. Zbl 0246.93010, MR 0325201 |
| Reference:
|
[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. |
| Reference:
|
[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 0669973 |
| Reference:
|
[9] A. I. G. Vardulakis: Linear Multivariable Control: Algebraic Analysis and Synthesis Methods.Wiley, New York 1991. Zbl 0751.93002, MR 1104222 |
| Reference:
|
[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. Zbl 0678.34002, MR 1015177 |
| Reference:
|
[11] N. Cohen: Spectral analysis of regular matrix polynomials.Integral Equations Operator Theory 6 (1983), 161-183. Zbl 0521.15015, MR 0720106 |
| . |
