DocumentCode
1082318
Title
A fundamental notion of equivalence for linear multivariable systems
Author
Pugh, A.C. ; Karampetakis, N.P. ; Vardulakis, A.I.G. ; Hayton, G.E.
Author_Institution
Dept. of Math. Sci., Loughborough Univ. of Technol., UK
Volume
39
Issue
5
fYear
1994
fDate
5/1/1994 12:00:00 AM
Firstpage
1141
Lastpage
1145
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 differential equations describing the two systems. The connection with the system matrix relationship of full system equivalence is established
Keywords
differential equations; linear systems; matrix algebra; multivariable control systems; polynomials; bijective map; differential equations; equivalence; finite solution sets; infinite solution sets; linear multivariable systems; polynomial matrix descriptions; Differential equations; Frequency; Linear systems; MIMO; Mathematics; Poles and zeros; Polynomials; Transfer functions;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.284911
Filename
284911
Link To Document