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...
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Format: | Article |
Language: | English |
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Wiley
2012-01-01
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Series: | Journal of Control Science and Engineering |
Online Access: | http://dx.doi.org/10.1155/2012/609276 |
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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 |