Exponential stability of switched systems with interval time-varying delay

被引:24
作者
Sun, Y. G. [1 ,2 ]
Wang, L. [2 ]
Xie, G. [2 ]
机构
[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Peoples R China
[2] Peking Univ, Ctr Syst & Control, Coll Engn, Beijing 100871, Peoples R China
基金
中国国家自然科学基金;
关键词
L-2 GAIN ANALYSIS; LINEAR-SYSTEMS; SYMMETRIC-SYSTEMS; STABILIZATION; CONTROLLERS; DESIGN;
D O I
10.1049/iet-cta.2008.0162
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
By using the average dwell time approach, we identify a class of switching signals to guarantee exponential stability and L-2 gain of the switched linear system with interval time-varying delay excluding zero. By taking both the lower bound and upper bound of delay into consideration in the chosen Lyapunov function, several new stability criteria are presented in terms of linear matrix inequalities. Compared with some results in the literature, it is theoretically established that our results are less restrictive.
引用
收藏
页码:1033 / 1040
页数:8
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