Finite-time boundedness and L2-gain analysis for switched delay systems with norm-bounded disturbance

被引：176
作者：
Lin, Xiangze [1 ]
Du, Haibo [2 ]
Li, Shihua [2 ]
机构：
[1] Nanjing Agr Univ, Coll Engn, Nanjing 210031, Peoples R China
[2] Southeast Univ, Sch Automat, Key Lab Measurement & Control CSE, Minist Educ, Nanjing 210096, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 12期
基金：
高等学校博士学科点专项科研基金;
关键词：
Switched linear systems; Time-delay; Finite-time boundedness; Multiple Lyapunov-like functions; LINEAR-SYSTEMS; PRACTICAL STABILITY; STABILIZATION; HYBRID; CONTROLLABILITY; STABILIZABILITY;
D O I：
10.1016/j.amc.2010.12.032
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Finite-time boundedness and finite-time weighted L-2-gain for a class of switched delay systems with time-varying exogenous disturbances are studied. Based on the average dwell-time technique, sufficient conditions which guarantee the switched linear system with time-delay is finite-time bounded and has finite-time weighted L-2-gain are given. These conditions are delay-dependent and are given in terms of linear matrix inequalities. Detail proofs are given by using multiple Lyapunov-like functions. An example is employed to verify the efficiency of the proposed method. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码：5982 / 5993
页数：12
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