Impulsive Exponential Stabilization of Functional Differential Systems with Infinite Delay

被引:2
|
作者
Sun, Xiaoli [2 ]
Li, Xiaodi [1 ]
机构
[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
[2] Zaozhuang Univ, Dept Math & Informat Sci, Zaozhuang 277100, Peoples R China
关键词
RAZUMIKHIN-TYPE THEOREMS; STABILITY THEOREMS; EQUATIONS;
D O I
10.1155/2009/289480
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
By using the Razumikhin technique and Lyapunov functions, we investigated the impulsive exponential stabilization of functional differential systems with infinite delay. A new result on the exponential stabilization by impulses is gained. Our result shows that impulses can make unstable systems stable. A numerical example is given to illustrate the feasibility of the result. Copyright (C) 2009 X. Sun and X. Li.
引用
收藏
页数:12
相关论文
共 50 条
  • [21] Stability in terms of two measures for impulsive stochastic functional differential systems with infinite delays
    Yao, Fengqi
    Deng, Feiqi
    Shen, Hao
    PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE, 2012, : 1523 - 1528
  • [22] Impulsive stochastic functional differential inclusions driven by a fractional Brownian motion with infinite delay
    Boudaoui, Ahmed
    Caraballo, Tomas
    Ouahab, Abdelghani
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (06) : 1435 - 1451
  • [23] Global exponential stability for impulsive systems with infinite distributed delay based on flexible impulse frequency
    Zhao, Yongshun
    Li, Xiaodi
    Cao, Jinde
    APPLIED MATHEMATICS AND COMPUTATION, 2020, 386
  • [24] Almost sure exponential stability and stochastic stabilization of stochastic differential systems with impulsive effects
    Cheng, Pei
    Deng, Feiqi
    Yao, Fengqi
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2018, 30 : 106 - 117
  • [25] Exponential Stability for a Class of Linear Delay Differential Systems Under Logic Impulsive Control
    Li, Chunxiang
    IEEE ACCESS, 2021, 9 : 107884 - 107894
  • [26] Exponential P-Stability of Singularly Perturbed Impulsive Stochastic Delay Differential Systems
    Xu, Liguang
    INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2011, 9 (05) : 966 - 972
  • [27] Impulsive stabilization of fractional differential systems
    Xu, Liguang
    Li, Jiankang
    Ge, Shuzhi Sam
    ISA TRANSACTIONS, 2017, 70 : 125 - 131
  • [28] A STUDY OF SECOND ORDER IMPULSIVE NEUTRAL DIFFERENTIAL EVOLUTION CONTROL SYSTEMS WITH AN INFINITE DELAY
    Palani, P.
    Gunasekar, T.
    Angayarkanni, M.
    Kesavan, D.
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2019, (41): : 557 - 570
  • [29] Approximate Controllability of Neutral Stochastic Functional Differential Systems with Infinite Delay
    Balasubramaniam, P.
    Park, J. Y.
    Muthukumar, P.
    STOCHASTIC ANALYSIS AND APPLICATIONS, 2010, 28 (02) : 389 - 400
  • [30] On the existence of impulsive neutral evolution differential inclusions with infinite delay
    Lin, Kai-Biao
    Liu, Hsiang
    Pang, Chin-Tzong
    ADVANCES IN DIFFERENCE EQUATIONS, 2015, : 1 - 18