New delay-dependent stability criterion for stochastic systems with time delays

被引：45
|
作者：
Yang, R. [1 ]
Shi, P. [2 ,3 ,4 ]
Gao, H. [1 ]
机构：
[1] Harbin Inst Technol, Space Control & Inertial Technol Res Ctr, Harbin 150006, Heilongjiang Pr, Peoples R China
[2] Univ Glamorgan, Fac Adv Technol, Pontypridd CF37 1DL, M Glam, Wales
[3] Victoria Univ, Sch Comp Sci & Math, ILSCM, Melbourne, Vic 8001, Australia
[4] Univ S Australia, Sch Math & Stat, Adelaide, SA 5001, Australia
来源：
IET CONTROL THEORY AND APPLICATIONS | 2008年 / 2卷 / 11期
基金：
中国国家自然科学基金; 英国工程与自然科学研究理事会;
关键词：
D O I：
10.1049/iet-cta:20070437
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 problem of concern here is the stability analysis for stochastic systems with a time delay in the state. By employing a novel Lyapunov-Krasovskii functional, a new delay-dependent exponential stability condition is established for such stochastic time-delay systems. Based on the delay fractioning approach, the developed method can greatly reduce conservativeness compared with the existing results. Numerical examples are provided to show the advantage of the proposed techniques.
引用
收藏
页码：966 / 973
页数：8
相关论文
共 50 条
  • [1] Improved Delay-Dependent Stability Criterion and Controller Design For Stochastic Systems With Time Delays
    Zhou Lei
    Zhou Shaosheng
    [J]. PROCEEDINGS OF THE 29TH CHINESE CONTROL CONFERENCE, 2010, : 1097 - 1102
  • [2] New Delay-dependent Robust Stability Criterion for Uncertain Stochastic Systems with Time-varying Delays
    Wang, Cheng
    [J]. ADVANCED BUILDING MATERIALS AND STRUCTURAL ENGINEERING, 2012, 461 : 633 - 636
  • [3] 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
  • [4] NEW DELAY-DEPENDENT ROBUST STABILITY CRITERION for NEUTRAL STOCHASTIC NEURAL NETWORKS with TIME DELAYS
    Qing, Qiu-Ji
    He, Hai-Kuo
    Xi, Duo-Ming
    Lu, Ji-Yong
    [J]. PROCEEDINGS OF 2009 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOLS 1-6, 2009, : 1145 - +
  • [5] A NEW DELAY-DEPENDENT STABILITY CRITERION FOR TIME-DELAY SYSTEMS
    Sun, Jian
    Liu, G. P.
    [J]. ASIAN JOURNAL OF CONTROL, 2009, 11 (04) : 427 - 431
  • [6] A delay-dependent stability criterion for systems with uncertain time-invariant delays
    Park, PG
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (04) : 876 - 877
  • [7] Delay-dependent stability criterion for systems with uncertain time-invariant delays
    Pohang Univ of Science and, Technology, Kyung-book, Korea, Republic of
    [J]. IEEE Trans Autom Control, 4 (876-877):
  • [8] New delay-dependent stability criteria for uncertain stochastic systems with time-varying delays
    Kwon, Oh-Min
    Park, Ju-Hyun
    Lee, Sang-Moon
    [J]. Transactions of the Korean Institute of Electrical Engineers, 2009, 58 (11): : 2261 - 2265
  • [9] A new delay-dependent stability criterion for singular time-delay systems
    Gao, Huanli
    Xu, Bugong
    Zhang, Yougang
    Hou, Xiaoli
    [J]. 2007 IEEE INTERNATIONAL CONFERENCE ON CONTROL AND AUTOMATION, VOLS 1-7, 2007, : 360 - 364
  • [10] A new criterion of delay-dependent stability for uncertain time-delay systems
    Li, T.
    Guo, L.
    Lin, C.
    [J]. IET CONTROL THEORY AND APPLICATIONS, 2007, 1 (03): : 611 - 616
12345