Stability condition of distributed delay systems based on an analytic solution to Lyapunov functional equations

被引:0
|
作者
Suh, YS [1 ]
Kang, HJ [1 ]
Ro, YS [1 ]
机构
[1] Univ Ulsan, Dept Elect Engn, Ulsan 680749, South Korea
关键词
time dela systems; stability; Lyapunov function;
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
An analytic solution to Lyapunov functional equations for distributed delay systems is derived. The analytic solution is computed using a matrix exponential function, while conventional computation has been relied on numerical approximations. Based on the analytic solution, a necessary and sufficient stability condition for distributed delay systems with unknown but bounded constant delay is proposed.
引用
收藏
页码:91 / 96
页数:6
相关论文
共 50 条
  • [1] Stability condition of distributed delay systems based on an analytic solution to Lyapunov functional equations
    Department of Electrical Engineering, University of Ulsan, Ulsan, 680-749, Korea, Republic of
    Asian J. Control, 2006, 1 (91-96): : 91 - 96
  • [2] A Lyapunov-type condition for robust feedback stability of delay control systems
    Lee, Richard C. H.
    Wong, C. W.
    Xu, Cheng-Zhong
    Yim, L. H.
    Yung, S. P.
    IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2006, 23 (01) : 97 - 111
  • [3] A Lyapunov-based approach to stability of descriptor systems with delay
    Fridman, E
    PROCEEDINGS OF THE 40TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2001, : 2850 - 2855
  • [4] Stability condition for T-S fuzzy systems with time delay via novel Lyapunov-Krasovskii functional
    Zhao, Xin
    Liu, Huanxia
    Lin, Chong
    Chen, Bing
    2018 37TH CHINESE CONTROL CONFERENCE (CCC), 2018, : 1260 - 1264
  • [5] New stability analysis for systems with interval time-varying delay based on Lyapunov Functional method
    Liu, Juan
    Hou, Zhanwei
    Journal of Information and Computational Science, 2014, 11 (06): : 1843 - 1852
  • [6] Lyapunov stability analysis for nonlinear delay systems
    Mazenc, F
    Niculescu, SI
    PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2000, : 2100 - 2105
  • [7] Lyapunov stability analysis for nonlinear delay systems
    Mazenc, FR
    Niculescu, SI
    SYSTEMS & CONTROL LETTERS, 2001, 42 (04) : 245 - 251
  • [8] Lyapunov Functional Method in the Stability Problem of Volterra Integro-Differential Equations with Infinite Delay
    Andreev, A. S.
    Peregudova, O. A.
    MECHANICS OF SOLIDS, 2021, 56 (08) : 1514 - 1533
  • [9] Lyapunov Functional Method in the Stability Problem of Volterra Integro-Differential Equations with Infinite Delay
    A. S. Andreev
    O. A. Peregudova
    Mechanics of Solids, 2021, 56 : 1514 - 1533
  • [10] Stability and Stabilization of Infinite Delay Systems: A Lyapunov-Based Approach
    Xu, Xiang
    Liu, Lu
    Feng, Gang
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2020, 65 (11) : 4509 - 4524