Gałkowski, Krzysztof - ed. ; Longman, Richard W. - ed. ; Rogers, Eric - ed.
Title:Canonical forms of singular 1D and 2D linear systems
Subtitle:Multidimensional Systems nD and Iterative Learning Control
Group publication title: Subject and Keywords:canonical form ; singular ; 2D Roesser model ; 1D system ; transformation
Abstract:The paper consists of two parts. In the first part, new canonical forms are defined for singular 1D linear systems and a procedure to determine nonsingular matrices transforming matrices of singular systems to their canonical forms is derived. ; In the second part new canonical forms of matrices of the singular 2D Roesser model are defined and a procedure for determining realisations in canonical forms for a given 2D transfer function is presented. ; Necessary and sufficient conditions for the existence of a pair of nonsingular block diagonal matrices transforming the matrices of the singular 2D Roesser model to their canonical forms are established. A procedure for computing the pair of nonsingular matrices is presented.
Publisher:Zielona Góra: Uniwersytet Zielonogórski
Date: Resource Type: Pages: Source:AMCS, volume 13, number 1 (2003) ; click here to follow the link
Language: License CC BY 4.0: Rights: