Finite-time synchronization of nonidentical chaotic systems with multiple time-varying delays and bounded perturbations

被引：61
|
作者：
Shi, Lei [1 ]
Yang, Xinsong [2 ]
Li, Yingchun [1 ]
Feng, Zuzhen [1 ]
机构：
[1] Honghe Univ, Dept Math, Mengzi 661199, Peoples R China
[2] Chongqing Normal Univ, Dept Math, Chongqing 401331, Peoples R China
来源：
NONLINEAR DYNAMICS | 2016年 / 83卷 / 1-2期
基金：
中国国家自然科学基金;
关键词：
Finite-time synchronization; Chaotic system; Time-varying delay; Perturbation; LINEAR STATE-FEEDBACK; UNCERTAIN PARAMETERS; NONLINEAR-SYSTEMS; NEURAL-NETWORKS; CONSENSUS; STABILITY; NEURONS;
D O I：
10.1007/s11071-015-2310-z
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
This paper is concerned with synchronization in a setting time for drive-response chaotic systems with multiple time-varying delays. The driving and response systems exhibit different dynamical behaviors with nonidentical delays and uncertain bounded external perturbations. Due to the time delays, existing finite-time stability theorem cannot be applied to the synchronization goal. By designing suitable controller and designing some Lyapunov-Krasovskii functionals, sufficient conditions guaranteeing the finite-time synchronization are derived without using existing finite-time stability theorem. Results of this paper extend most of existing ones which can only finite-timely synchronize coupled identical systems without delay. Numerical simulations demonstrate the effectiveness of the theoretical analysis.
引用
收藏
页码：75 / 87
页数：13
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