Stability and L2-gain analysis for switched delay systems:: A delay-dependent method

被引：692
|
作者：
Sun, Xi-Ming
Zhao, Jun [1 ]
Hill, David J.
机构：
[1] Northeastern Univ, Sch Informat Sci & Engn, Shenyang 110004, Peoples R China
[2] Australian Natl Univ, Res Sch Informat Sci & Engn, Canberra, ACT 0200, Australia
来源：
AUTOMATICA | 2006年 / 42卷 / 10期
基金：
中国国家自然科学基金;
关键词：
switched delay systems; exponential stability; delay-dependent; L-2-gain;
D O I：
10.1016/j.automatica.2006.05.007
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, we study stability and L-2-gain for a class of switched systems with time-varying delays. Sufficient conditions for exponential stability and weighted L-2-gain are developed for a class of switching signals with average dwell time. These conditions are delay-dependent and are given in the form of linear matrix inequalities (LMIs). As a special case of such switching signals, we can obtain exponential stability and normal L-2-gain under arbitrary switching signals. The state decay estimate is explicitly given. Two examples illustrate the effectiveness and applicability of the proposed method. (C) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1769 / 1774
页数：6
相关论文
共 50 条
  • [1] Delay-Dependent Finite-Time and L2-Gain Analysis for Switched Systems with Time-Varying Delay
    Yang, Qiongfen
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013
  • [2] Delay-dependent robust stability and L2-gain analysis of a class of nonlinear time-delay systems
    Coutinho, Daniel F.
    de Souza, Carlos E.
    AUTOMATICA, 2008, 44 (08) : 2006 - 2018
  • [3] Stability and L2-gain analysis for switched systems with interval time-varying delay
    Liu, Duyu
    Liu, Xingwen
    Xiao, Gang
    IET CONTROL THEORY AND APPLICATIONS, 2015, 9 (11): : 1644 - 1652
  • [4] Delay-dependent exponential stability for switched delay systems
    Wang, Dong
    Wang, Wei
    Shi, Peng
    OPTIMAL CONTROL APPLICATIONS & METHODS, 2009, 30 (04): : 383 - 397
  • [5] Stability and L2-gain analysis of switched input delay systems with unstable modes under asynchronous switching
    Wang, Yue-E
    Wu, Bao-wei
    Wu, Caiyun
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2017, 354 (11): : 4481 - 4497
  • [6] Delay-dependent stability criterion of switched systems with time-delay
    Cong, Shen
    Fei, Shu-Min
    Li, Tao
    Kongzhi yu Juece/Control and Decision, 2007, 22 (09): : 1049 - 1052
  • [7] Delay-dependent stability of switched linear systems with time-delay
    Luo, Zheng-Xuan
    Zhang, Xiao-Li
    Kongzhi Lilun Yu Yingyong/Control Theory and Applications, 2009, 26 (01): : 89 - 91
  • [8] Delay-dependent dissipativity analysis and synthesis of switched delay systems
    Mahmoud, Magdi S.
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2011, 21 (01) : 1 - 20
  • [9] Delay-Dependent Stability Analysis of TS Fuzzy Switched Time-Delay Systems
    Aoun, Nawel
    Kermani, Marwen
    Sakly, Anis
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2017, 2017
  • [10] On stability and L2-gain for switched systems
    Zhao, Jun
    Hill, David J.
    2005 44TH IEEE CONFERENCE ON DECISION AND CONTROL & EUROPEAN CONTROL CONFERENCE, VOLS 1-8, 2005, : 3279 - 3284
12345