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		Huijin FAN,Hua CHENG,Li XU.[en_title][J].Control Theory and Technology,2009,7(3):335~343.[Copy]

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HuijinFAN,HuaCHENG,LiXU
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Received:July 20, 2007Revised:April 14, 2008

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A constructive approach to minimal realization problem of 2D systems

Huijin FAN, Hua CHENG, Li XU

(The Key Laboratory of Image Processing and Intelligent control, and Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan Hubei 430074, China; Faculty of Systems Science and Technology, Akita Prefectural University, Akita 015-0055, Japan)

Abstract:

Unlike in the 1D case, it is not always possible to find a minimal state-space realization for a 2D system except for some particular categories. The purpose of this paper is to explore a constructive approach to the minimal Roesser model realization problem for a class of 2D systems which does not belong to the clarified categories. As one of the main results, a constructive realization procedure is first proposed. Based on the proposed procedure, sufficient conditions and explicit construction for minimal realizations of the considered 2D systems are shown. In addition, possible variations andapplications of the obtained results are discussed and illustrative examples are presented.

Key words: 2D systems Minimal realization Roesser local state-space model