Impulsive synchronization of chaotic systems subject to time delay

被引：38
|
作者：
Liu, Xinzhi [1 ]
机构：
[1] Univ Waterloo, Dept Appl Math, Waterloo, ON N2L 3G1, Canada
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 12期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Impulsive control; Synchronization; Time delay; Stability; NETWORKED CONTROL-SYSTEMS; HYPERCHAOTIC SYSTEMS; STABILIZATION; OBSERVER; DESIGN;
D O I：
10.1016/j.na.2009.01.162
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper studies synchronization of coupled chaotic systems with time delay by means of impulsive control. Some criteria on synchronization of such chaotic systems are established utilizing quadratic Lyapunov functions and differential inequalities in the spirit of the well-known Razumikhin technique. Those criteria may be applied to chaos-based secure communication systems with transmission delay, where a driving system and a response system are employed. Simulation results are given to demonstrate the analytical results. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：E1320 / E1327
页数：8
相关论文
共 50 条
  • [1] Impulsive Control for the Synchronization of Chaotic Systems with Time Delay
    Han, Ming
    Liu, Yang
    Lu, Jianquan
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [2] Impulsive synchronization of fractional order chaotic systems with time-delay
    Li, Dong
    Zhang, Xingpeng
    NEUROCOMPUTING, 2016, 216 : 39 - 44
  • [3] A unified approach for impulsive lag synchronization of chaotic systems with time delay
    Li, CD
    Liao, XF
    Zhang, R
    CHAOS SOLITONS & FRACTALS, 2005, 23 (04) : 1177 - 1184
  • [4] Impulsive stabilization and synchronization of a class of chaotic delay systems
    Li, CD
    Liao, XF
    Yang, XF
    Huang, TW
    CHAOS, 2005, 15 (04)
  • [5] Impulsive synchronization of two nonidentical chaotic systems with time-varying delay
    He, Wangli
    Qian, Feng
    Cao, Jinde
    Han, Qing-Long
    PHYSICS LETTERS A, 2011, 375 (03) : 498 - 504
  • [6] Chaotic Synchronization in Models of Impulsive Power Systems with Delay
    Ivanov, I. L.
    INTERNATIONAL APPLIED MECHANICS, 2018, 54 (01) : 94 - 103
  • [7] Impulsive synchronization for unified chaotic systems with channel time-delay and parameter uncertainty
    Ma Tie-Dong
    Zhang Hua-Guang
    Wang Zhi-Liang
    ACTA PHYSICA SINICA, 2007, 56 (07) : 3796 - 3802
  • [8] Impulsive synchronization for a chaotic system with channel time-delay
    Liu, Guangmin
    Ding, Wei
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (02) : 958 - 965
  • [9] Impulsive Control and Synchronization of Time-delay Chaotic System
    Yan, Yan
    Gui, Zhanji
    Wang, Kaihua
    PROCEEDINGS OF THE 2016 2ND INTERNATIONAL CONFERENCE ON ADVANCES IN ENERGY, ENVIRONMENT AND CHEMICAL ENGINEERING (AEECE 2016), 2016, 89 : 353 - 358
  • [10] Impulsive synchronization of chaotic systems
    Li, CD
    Liao, XF
    Zhang, XY
    CHAOS, 2005, 15 (02)
12345