Controllable and Observable Polynomial Description for 2D Noncausal Systems

Boudellioua, M. S.

doi:https://doi.org/10.1155/2007/87171

Journal of Control Science and Engineering

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Research Article | Open Access

Volume 2007 | Article ID 087171 | https://doi.org/10.1155/2007/87171

Controllable and Observable Polynomial Description for 2D Noncausal Systems

M. S. Boudellioua¹

Academic Editor: Tongwen Chen

Received26 Feb 2007

Accepted19 May 2007

Published18 Jun 2007

Abstract

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.

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Copyright

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.

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