输入矩阵定常的切换线性系统的能控性和能达性

华南理工大学学报(自然科学版) ›› 2004, Vol. 32 ›› Issue (6): 14-17.

输入矩阵定常的切换线性系统的能控性和能达性

胡宗波张波邓卫华

华南理工大学电力学院广东广州

收稿日期:2003-11-08 出版日期:2004-06-20 发布日期:2015-09-09
通信作者: 胡宗波（1976-），男，博士生，主要从事电力电子控制系统基本理论的研究。 E-mail:zbhu@scut.edu.cn
作者简介:胡宗波（1976-），男，博士生，主要从事电力电子控制系统基本理论的研究。
基金资助:
广东省科技计划项目电力电子专项重点项目（2002A1050103）

Contorllability and Reachability of a Class of Linear Switched Systems with the Same Input Matrix

Hu Zong-bo Zhang Bo Deng Wei-hua

Received:2003-11-08 Online:2004-06-20 Published:2015-09-09
Contact: 胡宗波（1976-），男，博士生，主要从事电力电子控制系统基本理论的研究。 E-mail:zbhu@scut.edu.cn
About author:胡宗波（1976-），男，博士生，主要从事电力电子控制系统基本理论的研究。

摘要/Abstract

摘要： 针对一类具有不同系统矩阵和相同输入矩阵的切换线性系统,证明了系统能控性和能达性的充要条件,同时给出具有不同输入矩阵和相同系统矩阵的切换线性系统能控性和能达性的充要条件,指出两类切换线性系统能控性和能达性充要条件是对偶的.对于上述两类切换线性系统,分别给出一个例子,并分析系统的能控性和能达性.

关键词: 切换线性系统, 能控性, 能达性

Abstract: The sufficient and necessary condition for the controllability and reachability of a class of linear switched systems with different systematic matrixes and the same input matrix was presented and the sufficient and necessary condition for the controllability and reachability of the systems with different input matrixes and the same systematic matrix was also given. It is pointed out that the sufficient and necessary conditions for the controllability and reachability of the two classes of linear switched systems are dual in nature. Each of the two classes of linear switched systems was illustrated with an example and their controllability and reachability were fully analyzed and discussed.

Key words: linear switched system, controllability, reachability

中图分类号:

TP13

胡宗波张波邓卫华. 输入矩阵定常的切换线性系统的能控性和能达性[J]. 华南理工大学学报(自然科学版), 2004, 32(6): 14-17.

Hu Zong-bo Zhang Bo Deng Wei-hua. Contorllability and Reachability of a Class of Linear Switched Systems with the Same Input Matrix[J]. Journal of South China University of Technology(Natural Science Edition), 2004, 32(6): 14-17.