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
来源：
ASIAN JOURNAL OF CONTROL | 2006年 / 8卷 / 01期
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
  • [21] Necessary and sufficient stability condition of discrete state delay systems
    Suh, YS
    Ro, YS
    Kang, HJ
    Lee, HH
    INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2004, 2 (04) : 501 - 508
  • [22] Variational Lyapunov method and stability analysis for impulsive delay differential equations
    Kou, CH
    Zhang, S
    Duan, YR
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2003, 46 (12) : 1761 - 1777
  • [23] Analytic and numerical stability of delay differential equations with variable impulses
    Liu, X.
    Zeng, Y. M.
    APPLIED MATHEMATICS AND COMPUTATION, 2019, 358 : 293 - 304
  • [24] On stability and oscillation of fractional differential equations with a distributed delay
    Feng, Limei
    Sun, Shurong
    TURKISH JOURNAL OF MATHEMATICS, 2022, 46 : 626 - 637
  • [25] Improved delay-dependent stability analysis for linear time-delay systems: Based on homogeneous polynomial Lyapunov-Krasovskii functional method
    Zhang, Huasheng
    Xia, Jianwei
    Zhuang, Guangming
    NEUROCOMPUTING, 2016, 193 : 176 - 180
  • [26] LYAPUNOV-KRASOVSKII STABILITY THEOREM FOR FRACTIONAL SYSTEMS WITH DELAY
    Baleanu, D.
    Ranjbar N, A.
    Sadati R, S. J.
    Delavari, R. H.
    Abdeljawad , T.
    Gejji, V.
    ROMANIAN JOURNAL OF PHYSICS, 2011, 56 (5-6): : 636 - 643
  • [27] The Variational Lyapunov Method and Stability for Impulsive Delay Differential Systems
    Kai En LIU1
    2. Center for Systems and Control
    3. School of Automation Engineering
    Journal of Mathematical Research with Applications, 2010, (01) : 67 - 77
  • [28] Application of Quadratic Lyapunov Functions to Investigation of Stability of Systems with Delay
    Antonovskaya, O. G.
    RUSSIAN MATHEMATICS, 2019, 63 (10) : 13 - 17
  • [29] A FUNCTIONAL ANALYTIC APPROACH TO VALIDATED NUMERICS FOR EIGENVALUES OF DELAY EQUATIONS
    Lessard, J. P.
    James, J. d. mireles
    JOURNAL OF COMPUTATIONAL DYNAMICS, 2020, 7 (01): : 123 - 158
  • [30] Application of Quadratic Lyapunov Functions to Investigation of Stability of Systems with Delay
    O. G. Antonovskaya
    Russian Mathematics, 2019, 63 : 13 - 17
12345