On the stability of nonlinear differential equations via time-varying nonsmooth Lyapunov functions

被引：0
|
作者：
Phat, VN [1 ]
Linh, NM [1 ]
机构：
[1] Natl Ctr Sci & Technol, Inst Math, Hanoi 10000, Vietnam
来源：
DIFFERENTIAL EQUATIONS AND APPLICATIONS, VOL 2 | 2002年
关键词：
Exponential stability; Lyapunov function; time-varying equations; non-Lypchitz function;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper gives new sufficient conditions for exponential stability of a class of nonlinear time-varying differential equations. The nonsmooth Lyapunov functions proposed in the paper need not to be Lipschitzian. Our results are obtained via the second Lyapunov method cover some previous results.
引用
收藏
页码：159 / 167
页数：9
相关论文
共 50 条
  • [1] Exponential Stability of Nonlinear Time-Varying Delay Differential Equations via Lyapunov-Razumikhin Technique
    Sedova, Natalya O.
    Druzhinina, Olga V.
    [J]. MATHEMATICS, 2023, 11 (04)
  • [2] Stability by averaging via time-varying Lyapunov functions
    Katz, Rami
    Mazenc, Frederic
    Fridman, Emilia
    [J]. IFAC PAPERSONLINE, 2023, 56 (02): : 197 - 202
  • [3] On exponential stability of nonlinear time-varying differential equations
    Aeyels, D
    Peuteman, J
    [J]. AUTOMATICA, 1999, 35 (06) : 1091 - 1100
  • [4] Stability of nonlinear time-varying perturbed differential equations
    Bassem Ben Hamed
    Zaineb Haj Salem
    Mohamed Ali Hammami
    [J]. Nonlinear Dynamics, 2013, 73 : 1353 - 1365
  • [5] Stability of nonlinear time-varying perturbed differential equations
    Ben Hamed, Bassem
    Salem, Zaineb Haj
    Hammami, Mohamed Ali
    [J]. NONLINEAR DYNAMICS, 2013, 73 (03) : 1353 - 1365
  • [6] ISS Lyapunov functions for time-varying hyperbolic partial differential equations
    Prieur, Christophe
    Mazenc, Frederic
    [J]. 2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC), 2011, : 4915 - 4920
  • [7] Finite-time stability of switched nonlinear time-varying systems via indefinite Lyapunov functions
    Chen, Guopei
    Yang, Ying
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2018, 28 (05) : 1901 - 1912
  • [8] Stabilisation of time-varying linear systems via Lyapunov differential equations
    Zhou, Bin
    Cai, Guang-Bin
    Duan, Guang-Ren
    [J]. INTERNATIONAL JOURNAL OF CONTROL, 2013, 86 (02) : 332 - 347
  • [9] LYAPUNOV FUNCTIONS FOR NONLINEAR TIME-VARYING SYSTEMS
    NARENDRA, KS
    TAYLOR, JH
    [J]. INFORMATION AND CONTROL, 1968, 12 (5-6): : 378 - &
  • [10] Exponential stability of nonlinear time-varying differential equations and applications
    Linh, N. M.
    Phat, V. N.
    [J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2001,
12345