Title :
Notes on strict system equivalence: a generalization of some theorems of Pernebo to multidimensional systems
Author_Institution :
Fachbereich Math., Kaiserslautern Univ., Germany
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;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.832857
