## 留言板

 引用本文: 谢广明, 王龙, 叶庆凯. 一类混杂动态系统的能控性(Ⅰ)——基本结果[J]. 应用数学和力学, 2003, 24(9): 919-928.
XIE Guang-ming, WANG Long, YE Qing-kai. Controllability of a Class of Hybrid Dynamic Systems(Ⅰ)—Basic Properties and Preliminary Results[J]. Applied Mathematics and Mechanics, 2003, 24(9): 919-928.
 Citation: XIE Guang-ming, WANG Long, YE Qing-kai. Controllability of a Class of Hybrid Dynamic Systems(Ⅰ)—Basic Properties and Preliminary Results[J]. Applied Mathematics and Mechanics, 2003, 24(9): 919-928.

## 一类混杂动态系统的能控性(Ⅰ)——基本结果

###### 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(Ⅰ)—Basic Properties and Preliminary Results

• 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Ⅰ部分首先,提出含时滞的线性切换系统的数学模型,并介绍切换系统的基本概念—切换序列。其次,引入列空间、循环不变子空间和广义循环不变子空间等基本几何概念,给出一些有关概念的基本性质,特别是分离引理。然后以一个基本引理的形式揭式某一积分方程的解集与广义循环不变子空间之间的联系,这个引理将在能控性的判定中起关键作用。这些概念和引理都将作为以后展开能控性分析所必需的研究工具。
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##### 出版历程
• 收稿日期:  2002-01-29
• 修回日期:  2003-03-25
• 刊出日期:  2003-09-15

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