Necessary and sufficient conditions for controllability of switched linear systems

被引：0

作者：

Xie, GM ^{[1
]}

Long, W ^{[1
]}

机构：

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

来源：

PROCEEDINGS OF THE 2002 AMERICAN CONTROL CONFERENCE, VOLS 1-6 | 2002年 / 1-6卷

关键词：

switched linear systems; controllability; switched sequence; geometric criterion;

D O I：

暂无

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 paper, we study the controllability of switched linear systems. First, the concept of controllable state set is introduced as the basic tool for evaluating the controllability. We then prove that, for a switched linear system, there exists a basic switching sequence such that the controllable state set of this basic switching sequence is equal to the controllable state set of the system. Hence, the controllability can be realized by using only one switching sequence. This striking fact reveals some intrinsic properties of switched linear systems, and is the most fundamental starting point for farther development. Based on this fact, a necessary and sufficient condition for controllability of switched linear systems is established. Furthermore, these results are extended to switched linear systems with time-delay. An elegant geometric criterion for controllability of switched time-delay systems is established as well. Illustrative examples are provided.

引用

页码：1897 / 1902

页数：6

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