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.[点击复制]
TAG Yue-gang, CHEN Wen-de.Canonical structure of nonlinear discrete event dynamic systems[J].Control Theory and Technology,2003,20(3):403~406.[点击复制]
非线性DEDS的标准结构
Canonical structure of nonlinear discrete event dynamic systems
摘要点击 1893  全文点击 1032  投稿时间:2001-01-10  修订日期:2002-11-22
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DOI编号  10.7641/j.issn.1000-8152.2003.3.017
  2003,20(3):403-406
中文关键词  非线性DEDS  白色图  标准结构  能达能观性
英文关键词  nonlinear discrete event dynamic systems  white graph  canonical structure  reachability and observability
基金项目  国家自然科学基金(69874040); 国家攀登计划资助项目.
作者单位E-mail
陶跃钢, 陈文德 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 yuegangtao@yahoo.com.cn 
中文摘要
      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.
英文摘要
      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.