A Delay-dependent Stability Criterion for A Class of Systems With Time-varying Delay

被引:0
|
作者
Jiang, Xiefu [1 ]
Yang, Shuai [1 ]
机构
[1] Hangzhou Dianzi Univ, Sch Automat, Hangzhou 310018, Zhejiang, Peoples R China
关键词
time-delay systems; stability criterion; Lyapunov functional; time-varying delay; UNCERTAIN SYSTEMS; ROBUST STABILITY; STATE; STABILIZATION;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper investigates the problem of a delay-dependent stability criterion for a class of time-varying delay systems. A Lyapunov functional is constructed by dividing the whole delay interval into sub-intervals according to the time-delay decomposition method. Taking terms of the Lyapunov functional as a whole to examine its positive definite. A less conservative stability criterion is derived in terms of linear matrix inequalities (LMIs). Finally examining the effectiveness of the stability criterion by an example.
引用
收藏
页码:2296 / 2299
页数:4
相关论文
共 50 条
  • [1] Delay-dependent stability criterion of a class of neural networks with time-varying delay
    Yang Bin
    Liu Shubo
    Wang Jincheng
    Jin Jing
    [J]. WCICA 2006: SIXTH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-12, CONFERENCE PROCEEDINGS, 2006, : 3038 - +
  • [2] A New Delay-Dependent Stability Criterion for Stochastic Systems with Time-Varying Delay
    Cong Shen
    Zou Yun
    Huang Yan-Yan
    Zhang Yi-Jun
    [J]. CCDC 2009: 21ST CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, PROCEEDINGS, 2009, : 4915 - 4918
  • [3] Delay-dependent robust exponential stability for a class of time-varying delay systems
    Sun, Xi-Ming
    Zhao, Jun
    Wang, Wei
    [J]. DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 : 355 - 361
  • [4] A New Delay-Dependent Stability Criterion of Fuzzy Systems with Interval Time-varying Delay
    Yang, Xingxu
    Jiang, Xiefu
    Ge, Xiaohua
    [J]. 2010 8TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA), 2010, : 5058 - 5062
  • [5] A New Delay-dependent Absolute Stability Criterion for Lurie Systems with Time-varying delay
    Gao J.-F.
    Pan H.-P.
    Ji X.-F.
    [J]. Zidonghua Xuebao/Acta Automatica Sinica, 2010, 36 (06): : 845 - 850
  • [6] Delay-Dependent Stability Criterion of Arbitrary Switched Linear Systems with Time-Varying Delay
    Li, Jun
    Wu, Weigen
    Yuan, Jimin
    Tan, Qianrong
    Yin, Xing
    [J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2010, 2010
  • [7] Delay-Dependent Stability for Neutral Systems with Time-Varying Delay
    Bai Lei
    Xiao Shen-Ping
    Zeng Hong-Bing
    [J]. 2011 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, 2011, : 540 - 543
  • [8] Delay-dependent stability and stabilization of a class of linear switched time-varying delay systems
    Zhang Lixian
    Wang Changhong
    Gao Huijun
    [J]. JOURNAL OF SYSTEMS ENGINEERING AND ELECTRONICS, 2007, 18 (02) : 320 - 326
  • [10] Delay-dependent stability and stabilization of a class of linear switched time-varying delay systems
    Wang, CH
    Zhang, LX
    Gao, HJ
    Wu, LG
    [J]. PROCEEDINGS OF 2005 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOLS 1-9, 2005, : 917 - 922