Controllability and stabilizability of switched linear-systems

被引：234
作者：
Xie, GM [1 ]
Wang, L [1 ]
机构：
[1] Peking Univ, Ctr Syst & Control, Dept Mech & Engn Sci, Beijing 100871, Peoples R China
来源：
SYSTEMS & CONTROL LETTERS | 2003年 / 48卷 / 02期
基金：
中国国家自然科学基金; 高等学校博士学科点专项科研基金;
关键词：
switched linear systems; controllability; reachability; stabilizability; switched sequence; delay;
D O I：
10.1016/S0167-6911(02)00288-8
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 conjecture made in (IEEE Trans. Automat. Control 47 (8) (2002) 1401) concerning the existence of basic switching sequence for switched systems, and give it an affirmative answer and a construction method. This paper proves that for switched linear system, there exists a switching sequence such that the controllable state set of this switching sequence is equal to the controllable state set of the system. Hence, the controllability can be realized by using only one switching sequence. Then, the result is extended to the systems with time-delay in controls. Furthermore, we define the stabilizability of switched linear systems, and based on certain transformation of state coordinate, we give a necessary and sufficient condition for the stabilizability. Two examples are presented to illustrate the obtained results. (C) 2002 Elsevier Science B.V. All rights reserved.
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页码：135 / 155
页数：21
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