EQUIVALENCE TRANSFORMATIONS OF RATIONAL MATRICES AND APPLICATIONS

Authors
KARAMPETAKIS NP PUGH AC VARDULAKIS AI
Citation
Np. Karampetakis et al., EQUIVALENCE TRANSFORMATIONS OF RATIONAL MATRICES AND APPLICATIONS, International Journal of Control, 59(4), 1994, pp. 1001-1020
Citations number
17
Categorie Soggetti
Controlo Theory & Cybernetics","Robotics & Automatic Control
Journal title
International Journal of Control → ACNP
ISSN journal
00207179
Volume
59
Issue
4
Year of publication
1994
Pages
1001 - 1020
Database
ISI
SICI code
0020-7179(1994)59:4<1001:ETORMA>2.0.ZU;2-Y
Abstract
The known theories of transformations between polynomial matrices are extended to the case of rational matrices. Specifically, OMEGA-equival ence between rational matrices having possibly different dimensions is defined, and this has the property of preserving the zero structure o f rational matrices in the region OMEGA subset-or-equal-to C or {infin ity}. Some implications of this new equivalence transformation for lin ear system theory are also provided.