DocumentCode
810877
Title
Equivalence and reduction of 2-D systems
Author
Pugh, A.C. ; McInerney, S.J. ; EL-Nabrawy, E.M.O.
Author_Institution
Dept. of Math. Sci., Loughborough Univ., Leicestershire, UK
Volume
52
Issue
5
fYear
2005
fDate
5/1/2005 12:00:00 AM
Firstpage
271
Lastpage
275
Abstract
Three definitions of equivalence in two-dimensional (2-D) systems theory are considered and certain connections between them made. The computational based definition suffers from the deficiency that it has the smallest equivalence classes, which therefore may not be sufficiently wide to contain reduced system forms. Despite this, the reduction to a first-order form of singular Roesser type is shown to be possible with this equivalence.
Keywords
equivalence classes; multidimensional systems; multivariable systems; reduced order systems; 2D system reduction; 2D systems theory; equivalence classes; first-order form; multidimensional systems; multivariable systems; reduced system; singular Roesser type; Circuits; Linear systems; MIMO; Polynomials; Two dimensional displays; Multidimensional systems; multivariable systems;
fLanguage
English
Journal_Title
Circuits and Systems II: Express Briefs, IEEE Transactions on
Publisher
ieee
ISSN
1549-7747
Type
jour
DOI
10.1109/TCSII.2005.846886
Filename
1431106
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