Stability analysis for discrete-time switched time-delay systems

被引：232
|
作者：
Zhang, Wen-An
Yu, Li [1 ]
机构：
[1] Zhejiang Univ Technol, Dept Automat, Hangzhou 310032, Zhejiang, Peoples R China
来源：
AUTOMATICA | 2009年 / 45卷 / 10期
关键词：
Switched time-delay systems; Discrete-time; Exponential stability; Delay-dependent; Average dwell time; H-INFINITY CONTROL; DEPENDENT STABILITY; LYAPUNOV FUNCTIONS; LINEAR-SYSTEMS; STATE; STABILIZABILITY; STABILIZATION;
D O I：
10.1016/j.automatica.2009.05.027
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The stability analysis problem is studied in this paper for a class of discrete-time switched time-delay systems. By using a newly constructed Lyapunov functional and the average dwell time scheme, a delay-dependent sufficient condition is derived for the considered system to be exponentially stable. The obtained results provide a solution to one of the basic problems in discrete-time switched time-delay systems, that is, to find a switching signal for which the switched time-delay system is exponentially stable. Two illustrative examples are given to demonstrate the effectiveness of the proposed results. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2265 / 2271
页数：7
相关论文
共 50 条
  • [41] Exponential admissibility of discrete-time switched singular time-delay systems: an average dwell time approach
    Lin, Jinxing
    Gao, Zhifeng
    Zhou, Ying
    Gai, Shaoyan
    [J]. PROCEEDINGS OF THE 2012 24TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2012, : 1805 - 1810
  • [42] MODEL REDUCTION FOR DISCRETE-TIME SWITCHED LINEAR TIME-DELAY SYSTEMS VIA THE H-infinity ROBUST STABILITY
    Birouche, Abderazik
    Mourllion, Benjamin
    Basset, Michel
    [J]. CONTROL AND INTELLIGENT SYSTEMS, 2011, 39 (01) : 78 - 86
  • [43] Robust stability of discrete-time nonlinear system with time-delay
    Liu, XG
    Wu, M
    [J]. JOURNAL OF CENTRAL SOUTH UNIVERSITY OF TECHNOLOGY, 2005, 12 (Suppl 1): : 227 - 231
  • [44] Robust stability of discrete-time nonlinear system with time-delay
    Xin-ge Liu
    Min Wu
    [J]. Journal of Central South University of Technology, 2005, 12 : 227 - 231
  • [45] Quadratic stability and stabilization of discrete-time switched systems with state delay
    Xie, GM
    Wang, L
    [J]. 2004 43RD IEEE CONFERENCE ON DECISION AND CONTROL (CDC), VOLS 1-5, 2004, : 3235 - 3240
  • [46] Stability and stabilizability of discrete-time switched linear systems with state delay
    Montagner, VF
    Leite, VJS
    Tarbouriech, S
    Peres, PLD
    [J]. ACC: PROCEEDINGS OF THE 2005 AMERICAN CONTROL CONFERENCE, VOLS 1-7, 2005, : 3806 - 3811
  • [47] IMPROVED RESULTS ON EXPONENTIAL STABILITY OF DISCRETE-TIME SWITCHED DELAY SYSTEMS
    Xie, Xiang
    Xu, Honglei
    Cheng, Xinming
    Yu, Yilun
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2017, 22 (01): : 199 - 208
  • [48] Diagonal stability of a class of discrete-time positive switched systems with delay
    Aleksandrov, Alexander
    Mason, Oliver
    [J]. IET CONTROL THEORY AND APPLICATIONS, 2018, 12 (06): : 812 - 818
  • [49] Finite-time stability of discrete-time switched delay systems with nonlinear disturbances
    Tian Yazhou
    Cai Yuanli
    Sun Yuangong
    [J]. PROCEEDINGS OF THE 35TH CHINESE CONTROL CONFERENCE 2016, 2016, : 1492 - 1497
  • [50] Asymptotic stability and stabilization of discrete-time switched systems with time-varying delay
    Charqi, Mohammed
    Tissir, El Houssaine
    Boukili, Bensalem
    [J]. OPTIMAL CONTROL APPLICATIONS & METHODS, 2021, 42 (02): : 486 - 502
12345