Finite-time stability and finite-time weighted L2-gain analysis for switched systems with time-varying delay

被引：80
|
作者：
Lin, Xiangze [1 ,3 ]
Du, Haibo [2 ]
Li, Shihua [2 ]
Zou, Yun [3 ]
机构：
[1] Nanjing Agr Univ, Jiangsu Key Lab Intelligent Agr Equipment, Coll Engn, Nanjing 210031, Jiangsu, Peoples R China
[2] Southeast Univ, Sch Automat, Nanjing 210096, Jiangsu, Peoples R China
[3] Nanjing Univ Sci andTechnol, Sch Automat, Nanjing 210094, Jiangsu, Peoples R China
来源：
IET CONTROL THEORY AND APPLICATIONS | 2013年 / 7卷 / 07期
关键词：
H-INFINITY CONTROL; LINEAR-SYSTEMS; ROBUST STABILITY; PRACTICAL STABILITY; STABILIZATION; DESIGN;
D O I：
10.1049/iet-cta.2012.0551
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Finite-time stability and finite-time boundedness for a class of switched linear systems with time-varying delay are studied. Sufficient conditions which guarantee switched linear systems with time-varying delay finite-time stable or finite-time bounded are presented. These conditions are delay-dependent and are given in terms of linear matrix inequalities. Average dwell time of switching signals is also given such that switched linear systems are finite-time stable or finite-time bounded. Moreover, finite-time weighted L-2-gain of switched linear systems with time-varying delay are also given to measure its disturbance tolerance capability in the fixed time interval. Detail proofs are accomplished by using multiple Lyapunov-like functions. An example is employed to verify the efficiency of the proposed method.
引用
收藏
页码：1058 / 1069
页数：12
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