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一类混杂动态系统的能控性(Ⅲ)——含多时滞的情形

谢广明 王龙 叶庆凯

谢广明, 王龙, 叶庆凯. 一类混杂动态系统的能控性(Ⅲ)——含多时滞的情形[J]. 应用数学和力学, 2003, 24(9): 940-950.
引用本文: 谢广明, 王龙, 叶庆凯. 一类混杂动态系统的能控性(Ⅲ)——含多时滞的情形[J]. 应用数学和力学, 2003, 24(9): 940-950.
XIE Guang-ming, WANG Long, YE Qing-kai. Controllability of a Class of Hybrid Dynamic Systems(Ⅲ)—Multiple Time-Delay Case[J]. Applied Mathematics and Mechanics, 2003, 24(9): 940-950.
Citation: XIE Guang-ming, WANG Long, YE Qing-kai. Controllability of a Class of Hybrid Dynamic Systems(Ⅲ)—Multiple Time-Delay Case[J]. Applied Mathematics and Mechanics, 2003, 24(9): 940-950.

一类混杂动态系统的能控性(Ⅲ)——含多时滞的情形

基金项目: 国家杰出青年科学基金资助项目(69925307,60274001);国家重点基础研究与发展计划基金资助项目(2002CB312200);中国博士后基金资助项目
详细信息
    作者简介:

    谢广明(1972- ),男,北京人,博士(后),研究方向为混杂切换系统、广义系统、时滞系统和网络控制系统(E-mail:xiegming@mech.pku.edu.cn).

  • 中图分类号: TP13;TP273;O317

Controllability of a Class of Hybrid Dynamic Systems(Ⅲ)—Multiple Time-Delay Case

  • 摘要: 首次将时滞现象引入到线性切换系统的模型中,研究含有时滞线性切换系统的能控性及其判定条件。全部工作由三部分组成。第Ⅲ部分,主要研究含多时滞的线性切换系统的能控性及其判定规则。首先给出周期型系统的单周能控性和多周期能控性的定义和充要条件,其次给出非周期系统的能控性的定义和充要条件。最后,研究时滞大小不一致的情形,指出能控性与时滞大小无关。
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出版历程
  • 收稿日期:  2002-01-29
  • 修回日期:  2003-05-28
  • 刊出日期:  2003-09-15

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