Controllability of switched linear systems

被引：112

作者：

Xie, GM ^{[1
]}

Zheng, DZ

Wang, L

机构：

[1] Peking Univ, Dept Engn Sci & Mech, Beijing 100871, Peoples R China

[2] Tsinghua Univ, Dept Automat, Beijing 100084, Peoples R China

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2002年 / 47卷 / 08期

基金：

中国国家自然科学基金;

关键词：

controllability; controllable state set; switched linear system; switching sequence;

D O I：

10.1109/TAC.2002.801182

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this note, the controllability of a switched linear system, which is a collection of linear time-invariant systems along with some maps for "switching" among them, is addressed. First, a controllable state set is defined as a basic tool to discuss the controllability condition. Second, it is proved that the controllability of a multi-input system is equivalent to that of a single-input system. Third, a sufficient and necessary condition for controllability of third-order systems is presented. According to the proof of this criterion, we state a conjecture on the controllability condition of n-dimensional systems. A numeric example is given to illustrate the result.

引用

页码：1401 / 1405

页数：5

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