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
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