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

被引：690
|
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
  • [21] Improved delay-dependent stability criteria for systems with interval delay
    Hongbing Zeng 1
    2.School of Information Science and Engineering
    3.Department of Information Engineering
    JournalofSystemsEngineeringandElectronics, 2011, 22 (06) : 998 - 1002
  • [22] Delay-dependent Robust H∞ Control for a Class of Switched Systems with Time Delay
    Wang, Yijing
    Yao, Zhenxian
    Zuo, Zhiqiang
    Zhao, Huimin
    PROCEEDINGS OF THE 2008 IEEE INTERNATIONAL SYMPOSIUM ON INTELLIGENT CONTROL, 2008, : 168 - +
  • [23] Delay-dependent stability analysis and control synthesis of fuzzy dynamic systems with time delay
    Chen, Bing
    Liu, Xiaoping
    Tong, Shaocheng
    FUZZY SETS AND SYSTEMS, 2006, 157 (16) : 2224 - 2240
  • [24] Delay-dependent Robust Stability Analysis for Uncertain Nonlinear Systems
    Song, Jin
    Qiu, Kun
    MANUFACTURING ENGINEERING AND AUTOMATION II, PTS 1-3, 2012, 591-593 : 577 - +
  • [25] Delay-Dependent Lyapunov Function Approach to Robust Stability Analysis for Switched Linear Time-Delay Systems with Polytopic Uncertainties
    Wang, Yijing
    Yao, Zhenxian
    Zuo, Zhiqiang
    Zhao, Huimin
    Zhang, Guoshan
    2008 7TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-23, 2008, : 4103 - +
  • [26] Delay-dependent stability analysis for a class of dynamical systems with leakage delay and nonlinear perturbations
    Li, Xiaodi
    Fu, Xilin
    Rakkiyappan, R.
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 226 : 10 - 19
  • [27] Research on Delay-dependent Stability Criteria for Linear Systems with Time Delay
    Song, Changhui
    Zhao, Guoliang
    2009 IEEE INTERNATIONAL CONFERENCE ON MECHATRONICS AND AUTOMATION, VOLS 1-7, CONFERENCE PROCEEDINGS, 2009, : 2576 - +
  • [28] Improved delay-dependent stability criteria for systems with a delay varying in a range
    Shao, Hanyong
    AUTOMATICA, 2008, 44 (12) : 3215 - 3218
  • [29] Delay-Dependent Stability of Impulsive Stochastic Systems with Multiple Delays
    Xiao, Chunjie
    Hou, Ting
    PROCESSES, 2022, 10 (07)
  • [30] Delay-Dependent Stability for Discrete 2D Switched Systems with State Delays in the Roesser Model
    Huang, Shipei
    Xiang, Zhengrong
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2013, 32 (06) : 2821 - 2837
12345