FINITE-TIME BOUNDEDNESS AND STABILIZATION OF SWITCHED LINEAR SYSTEMS

被引：0
作者：
Du, Haibo [1 ]
Lin, Xiangze [2 ]
Li, Shihua [1 ]
机构：
[1] Southeast Univ, Sch Automat, Key Lab Measurement & Control CSE, Minist Educ, Nanjing 210096, Peoples R China
[2] Nanjing Agr Univ, Coll Engn, Nanjing 210031, Peoples R China
来源：
KYBERNETIKA | 2010年 / 46卷 / 05期
基金：
高等学校博士学科点专项科研基金;
关键词：
switched linear systems; finite-time boundedness; multiple Lyapunov-like functions; single Lyapunov-like function; common Lyapunov-like function; STABILITY; HYBRID; L-2-GAIN;
D O I：
暂无
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, finite-time boundedness and stabilization problems for a class of switched linear systems with time-varying exogenous disturbances are studied. Firstly, the concepts of finite-time stability and finite-time boundedness are extended to switched linear systems. Then, based on matrix inequalities, some sufficient conditions under which the switched linear systems are finite-time bounded and uniformly finite-time bounded are given. Moreover, to solve the finite-time stabilization problem, stabilizing controllers and a class of switching signals are designed. The main results are proven by using the multiple Lyapunov-like functions method, the single Lyapunov-like function method and the common Lyapunov-like function method, respectively. Finally, three examples are employed to verify the efficiency of the proposed methods.
引用
收藏
页码：870 / 889
页数：20
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