| 非线性DEDS的标准结构 |
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| 引用本文： | 陶跃钢,陈文德.非线性DEDS的标准结构[J].控制理论与应用,2003,20(3):403-406. |
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| 作者姓名： | 陶跃钢 陈文德 |
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| 作者单位： | 中国科学院数学与系统科学研究院系统科学研究所,北京,100080 |
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| 基金项目： | 国家自然科学基金(69874040); 国家攀登计划资助项目. |
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| 摘 要： | 非线性DEDS是指由极大极小函数描述的系统, 常见于计算机科学、控制论、运筹学等领域, 考虑非自治非线性DEDS的结构问题, 通过引入白色图和凝白色图, 得到了系统能达和能观的两个充要条件以及系统的标准结构, 同时还给出了它们的矩阵表示.
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| 关 键 词： | 非线性DEDS 白色图 标准结构 能达能观性 |
| 文章编号： | 1000-8152(2003)03-0403-04 |
| 收稿时间： | 2001/1/10 0:00:00 |
| 修稿时间： | 2001年1月10日 |
Canonical structure of nonlinear discrete event dynamic systems |
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| TAG Yue-gang,CHEN Wen-de.Canonical structure of nonlinear discrete event dynamic systems[J].Control Theory & Applications,2003,20(3):403-406. |
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| Authors: | TAG Yue-gang CHEN Wen-de |
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| Affiliation: | Institute of Systems Science, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China |
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| Abstract: | The nonlinear discrete event dynamic systems (DEDS) are the systems described by min-max functions, and commonly exist in computer science, control theory, operations research, etc. Structure problems of nonautonomous and nonlinear discrete event dynamic systems are considered, and some new results which lay some foundations of control theory of nonlinear discrete event dynamic systems are described. By constructing the white graph and white condensation, the canonical structure and two necessary and sufficient conditions for reachability and observability are obtained, and their matrix representations are given. |
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| Keywords: | nonlinear discrete event dynamic systems white graph canonical structure reachability and observability |
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