Synchronization of non-autonomous chaotic systems with time-varying delay via delayed feedback control

被引：36
作者：
Botmart, T. [1 ]
Niamsup, P. [1 ,2 ]
Liu, X. [3 ]
机构：
[1] Chiang Mai Univ, Dept Math, Chiang Mai 50200, Thailand
[2] CHE, Ctr Excellence Math, Bangkok 10400, Thailand
[3] Univ Waterloo, Dept Appl Math, Waterloo, ON N2L 3G1, Canada
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2012年 / 17卷 / 04期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Synchronization; Non-autonomous; Chaotic systems; Time-varying delay; Delayed feedback control; Intermittent control; PROJECTIVE SYNCHRONIZATION; EXPONENTIAL STABILITY; CRITERIA;
D O I：
10.1016/j.cnsns.2011.07.038
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the synchronization of non-autonomous chaotic systems with time-varying delay via delayed feedback control. Using a combination of Riccati differential equation approach, Lyapunov-Krasovskii functional, inequality techniques, some sufficient conditions for exponentially stability of the error system are formulated in form of a solution to the standard Riccati differential equation. The designed controller ensures that the synchronization of non-autonomous chaotic systems are proposed via delayed feedback control and intermittent linear state delayed feedback control. Numerical simulations are presented to illustrate the effectiveness of these synchronization criteria. (C) 2011 Elsevier B.V. All rights reserved.
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页码：1894 / 1907
页数：14
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