Strict System Equivalence of 2D Linear Discrete State Space Models

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 for...

Full description

Saved in:
Bibliographic Details
Main Author: Mohamed S. Boudellioua
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Control Science and Engineering
Online Access:http://dx.doi.org/10.1155/2012/609276
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832545503194120192
author Mohamed S. Boudellioua
author_facet Mohamed S. Boudellioua
author_sort Mohamed S. Boudellioua
collection DOAJ
description 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.
format Article
id doaj-art-47f623ac4f70415dbeaa0fc8fc606cc8
institution Kabale University
issn 1687-5249
1687-5257
language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series Journal of Control Science and Engineering
spelling doaj-art-47f623ac4f70415dbeaa0fc8fc606cc82025-02-03T07:25:36ZengWileyJournal of Control Science and Engineering1687-52491687-52572012-01-01201210.1155/2012/609276609276Strict System Equivalence of 2D Linear Discrete State Space ModelsMohamed S. Boudellioua0Department of Mathematics and Statistics, Sultan Qaboos University, P.O. Box 36, Al-Khodh, 123 Muscat, OmanThe 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.http://dx.doi.org/10.1155/2012/609276
spellingShingle Mohamed S. Boudellioua
Strict System Equivalence of 2D Linear Discrete State Space Models
Journal of Control Science and Engineering
title Strict System Equivalence of 2D Linear Discrete State Space Models
title_full Strict System Equivalence of 2D Linear Discrete State Space Models
title_fullStr Strict System Equivalence of 2D Linear Discrete State Space Models
title_full_unstemmed Strict System Equivalence of 2D Linear Discrete State Space Models
title_short Strict System Equivalence of 2D Linear Discrete State Space Models
title_sort strict system equivalence of 2d linear discrete state space models
url http://dx.doi.org/10.1155/2012/609276
work_keys_str_mv AT mohamedsboudellioua strictsystemequivalenceof2dlineardiscretestatespacemodels