DocumentCode
1847382
Title
Notes on strict system equivalence: a generalization of some theorems of Pernebo to multidimensional systems
Author
Zerz, Eva
Author_Institution
Fachbereich Math., Kaiserslautern Univ., Germany
Volume
1
fYear
1999
fDate
1999
Firstpage
637
Abstract
Strict system equivalence describes the connection between least order realizations of a transfer function in terms of a general linear constant system (Rosenbrock, 1970). It can also be characterized through certain isomorphisms between the solution sets of the system equations (Pernebo, 1977). The paper generalizes this and related results to the case of multidimensional systems, i.e., systems of linear partial difference or differential equations with constant coefficients
Keywords
difference equations; multidimensional systems; partial differential equations; polynomial matrices; transfer function matrices; Pernebo theorems; general linear constant system; isomorphisms; least order realizations; solution sets; strict system equivalence; Difference equations; Differential equations; Kernel; Mathematics; Multidimensional systems; Polynomials; Transfer functions;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location
Phoenix, AZ
ISSN
0191-2216
Print_ISBN
0-7803-5250-5
Type
conf
DOI
10.1109/CDC.1999.832857
Filename
832857
Link To Document