Exponential stability criterion for chaos synchronization in modulated time-delayed systems

被引:8
|
作者
Ghosh, Dibakar [1 ]
Banerjee, Santo [2 ,3 ]
机构
[1] Dinabandhu Andrews Coll, Dept Math, Kolkata 700084, W Bengal, India
[2] Politecn Torino, Dept Math, I-10128 Turin, Italy
[3] Techfab Srl, Micro & Nano Technol Div, Chivasso, Italy
关键词
Chaos synchronization; Exponential stability; Delayed system; Modulated delay time; Krasovskii-Lyapunov theory; GENERALIZED SYNCHRONIZATION; ADAPTIVE SYNCHRONIZATION; PHASE SYNCHRONIZATION; TRANSITION; SCHEME;
D O I
10.1016/j.nonrwa.2010.01.015
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we consider two unidirectionally coupled time delayed systems with periodic delay time modulation. A new stability condition for synchronization is derived analytically with the help of the Krasovskii-Lyapunov approach for single and two time delays. The numerical calculations greatly support our analytical results. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码:3704 / 3710
页数:7
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