LMI stability criterion for uncertain systems with multiple time delays

被引:0
|
作者
Lien, CH [1 ]
Chen, JD
Yu, KW
机构
[1] I Shou Univ, Dept Elect Engn, Kaohsiung 840, Taiwan
[2] Natl Kaohsiung First Univ Sci & Technol, Inst Engn Sci & Technol, Kaohsiung 824, Taiwan
[3] Yung Ta Inst Technol & Commerce, Dept Elect Engn, Pingtung 909, Taiwan
[4] Natl Kaohsiung Inst Marine Technol, Dept Marine Engn, Kaohsiung 811, Taiwan
关键词
asymptotic stability; delay dependent criterion; multiple time delays; uncertain systems; linear matrix inequality (LMD;
D O I
10.1299/jsmec.46.1108
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Robust asymptotic stability for a class of uncertain systems with multiple time delays is considered. Lyapunov theory and linear matrix inequality (LMI) approach are applied to solve the stability problem for such systems. New delay dependent criterion is derived to guarantee stability for the systems. Some numerical examples are given to demonstrate that our robust stability condition is less conservative than those reported in the recent literature.
引用
收藏
页码:1108 / 1111
页数:4
相关论文
共 50 条
  • [1] A stability criterion for linear uncertain systems with multiple delays
    Ma, XJ
    Xu, BG
    Wang, QY
    Peng, DZ
    [J]. 2004 8TH INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION, ROBOTICS AND VISION, VOLS 1-3, 2004, : 2010 - 2013
  • [2] Exponential stability criterion for uncertain retarded systems with multiple time-varying delays
    Sun, YJ
    Hsieh, JG
    Hsieh, YC
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 201 (02) : 430 - 446
  • [3] A novel LMI criterion for power system stability with multiple time-delays
    Jiang YiLang
    Jiang Tao
    Jia HongJie
    Dong ChaoYu
    [J]. SCIENCE CHINA-TECHNOLOGICAL SCIENCES, 2014, 57 (07) : 1392 - 1400
  • [4] A novel LMI criterion for power system stability with multiple time-delays
    YiLang Jiang
    Tao Jiang
    HongJie Jia
    ChaoYu Dong
    [J]. Science China Technological Sciences, 2014, 57 : 1392 - 1400
  • [5] A novel LMI criterion for power system stability with multiple time-delays
    JIANG YiLang
    JIANG Tao
    JIA HongJie
    DONG ChaoYu
    [J]. Science China Technological Sciences, 2014, (07) : 1392 - 1400
  • [6] A novel LMI criterion for power system stability with multiple time-delays
    JIANG YiLang
    JIANG Tao
    JIA HongJie
    DONG ChaoYu
    [J]. Science China(Technological Sciences), 2014, 57 (07) - 1400
  • [7] An LMI approach for robust stability of linear uncertain systems with time-varying multiple state delays
    Su, TJ
    Lu, CY
    Jong, GJ
    [J]. PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2000, : 1507 - 1508
  • [8] Novel α-stability criterion of linear systems with multiple time delays
    Ren, Fengli
    Cao, Jinde
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2006, 181 (01) : 282 - 290
  • [9] Robust stability of uncertain linear systems with multiple time delays
    Fang, Y.
    [J]. Proceedings of the Institution of Mechanical Engineers. Part I, Journal of systems and control engineering, 1997, 211 (13) : 195 - 202
  • [10] Exponential stability criteria of uncertain systems with multiple time delays
    Cao, DQ
    He, P
    Zhang, K
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 283 (02) : 362 - 374