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A constructive approach to minimal realization problem of 2D systems

A constructive approach to minimal realization problem of 2D systems
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摘要 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 and applications of the obtained results are discussed and illustrative examples are presented. 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 and applications of the obtained results are discussed and illustrative examples are presented.
作者 Huijin FAN Hua CHENG Li XU
机构地区 The Key Laboratory of Image Processing and Intelligent control Faculty of Systems Science and Technology
出处 《控制理论与应用（英文版）》 EI 2009年第3期335-343,共9页
基金 supported by the National Natural Science Foundation of China (No.60604001) Grant-in-Aid for Scientific Research from the Japan Society for the Promotion of Science (JSPS.KAKENHI 19560448)
关键词 2D systems Minimal realization Roesser local state-space model 2D systems Minimal realization Roesser local state-space model
分类号 TP311.52 [自动化与计算机技术—计算机软件与理论] O231 [理学—运筹学与控制论]
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参考文献11

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控制理论与应用（英文版）
2009年 第3期

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