Finite-time stability and stabilization of switched linear systems

被引：57
作者：
Du, Haibo [1 ]
Lin, Xiangze [2 ]
Li, Shihua [1 ]
机构：
[1] Southeast Univ, Sch Automat, Nanjing 210096, Jiangsu, Peoples R China
[2] Nanjing Agr Univ, Coll Engn, Nanjing 210031, Peoples R China
来源：
PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009) | 2009年
基金：
中国国家自然科学基金;
关键词：
L-2-GAIN;
D O I：
10.1109/CDC.2009.5399646
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, finite-time stability and stabilization problems for switched linear systems are discussed. Firstly, the concept of finite-time stability is extended to switched linear systems. Then, based on the state transition matrix of the system, a necessary and sufficient condition for finite-time stability of switched linear systems is presented. For ease of reference, some sufficient conditions under which the switched linear systems are finite-time stable and uniformly finite-time stable are given by virtue of matrix inequalities. Moreover, stabilizing state feedback controllers and a class of switching signals with average dwell-time are designed in detail to solve finite-time stabilization problem. The main results are proved by using the multiple Lyapunov-like functions and common Lyapunov-like function respectively. Finally, two examples are employed to verify the efficiency of the proposed method.
引用
收藏
页码：1938 / 1943
页数：6
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