Strict system equivalence of 2D linear discrete state space models
type: Item
instance of: scholarly article
title: Strict system equivalence of 2D linear discrete state space models
zbMATH Open document ID: 1248.93044
DOI: 10.1155/2012/609276
author: Mohamed Salah Boudellioua
published in: Journal of Control Science and Engineering
publication date: 2012-09-06T00:00:00Z
review text: Summary: The connection between the Polynomial Matrix Descriptions (PMDs) of the well-known regular and singular 2D linear discrete state space models is considered. It is shown that the transformation of strict system equivalence in the sense of Fuhrmann provides the basis for this connection. The exact form of the transformation is established for both the regular and singular cases.
Mathematics Subject Classification ID: 93B18
Mathematics Subject Classification ID: 93C05
zbMATH DE Number: 6078163
zbMATH Keywords: polynomial matrix descriptions (PMDs)
zbMATH Keywords: regular and singular 2D linear discrete state space models
zbMATH Keywords: strict system equivalence
Wikidata QID: Q58907991
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/609276
OpenAlex ID: W2061284051
cites work: Q5659396
cites work: On strict system equivalence and similarity†
cites work: A transformation for 2-D linear systems and a generalization of a theorem of Rosenbrock
cites work: On strict system equivalence for multidimensional systems
cites work: Matrix pencil equivalents of a general 2-D polynomial matrix
cites work: Q3422377
cites work: Serre's reduction of linear functional systems.
cites work: A discrete state-space model for linear image processing
cites work: Q4404391
cites work: State-space realization theory of two-dimensional filters
cites work: A singular general model of 2-D systems and its solution
cites work: Primeness of multivariate polynomial matrices
cites work: Topics in multidimensional linear systems theory
cites work: Zero structures of n-D systems
cites work: Doubly-indexed dynamical systems: State-space models and structural properties
cites work: Two-dimensional linear systems
cites work: Equivalence of singular 2-D linear models
description: scientific article; zbMATH DE number 6078163