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Journal of Control Science and Engineering
Volume 2007 (2007), Article ID 87171, 5 pages
Research Article

Controllable and Observable Polynomial Description for 2D Noncausal Systems

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

Received 26 February 2007; Accepted 19 May 2007

Academic Editor: Tongwen Chen

Copyright © 2007 M. 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.


Two-dimensional state-space systems arise in applications such as image processing, iterative circuits, seismic data processing, or more generally systems described by partial differential equations. In this paper, a new direct method is presented for the polynomial realization of a class of noncausal 2D transfer functions. It is shown that the resulting realization is both controllable and observable.