A FUNDAMENTAL NOTION OF EQUIVALENCE FOR LINEAR-MULTIVARIABLE SYSTEMS

Authors
PUGH AC KARAMPETAKIS NP VARDULAKIS AIG HAYTON GE
Citation
Ac. Pugh et al., A FUNDAMENTAL NOTION OF EQUIVALENCE FOR LINEAR-MULTIVARIABLE SYSTEMS, IEEE transactions on automatic control, 39(5), 1994, pp. 1141-1145
Citations number
12
Categorie Soggetti
Controlo Theory & Cybernetics","Robotics & Automatic Control","Engineering, Eletrical & Electronic
Journal title
IEEE transactions on automatic control → ACNP
ISSN journal
00189286
Volume
39
Issue
5
Year of publication
1994
Pages
1141 - 1145
Database
ISI
SICI code
0018-9286(1994)39:5<1141:AFNOEF>2.0.ZU;2-U
Abstract
A fundamental form of equivalence of polynomial matrix descriptions of linear multivariable systems is defined, based on the existence of a bijective map between the finite and infinite solution sets of the dif ferential equations describing the two systems. The connection with th e system matrix relationship of full system equivalence is established .