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Journal of Control Science and Engineering
Volume 2012, Article ID 609276, 6 pages
Research Article

Strict System Equivalence of 2D Linear Discrete State Space Models

Department of Mathematics and Statistics, Sultan Qaboos University, P.O. Box 36, Al-Khodh, 123 Muscat, Oman

Received 10 October 2011; Revised 30 January 2012; Accepted 6 February 2012

Academic Editor: L. Z. Yu

Copyright © 2012 Mohamed S. Boudellioua. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.