Local exponential synchronization in complex dynamical networks with time-varying delay and hybrid coupling

被引：40
|
作者：
Wang, Junyi [1 ]
Zhang, Huaguang [1 ]
Wang, Zhanshan [1 ]
Wang, Binrui [2 ]
机构：
[1] Northeastern Univ, Coll Informat Sci & Engn, Shenyang 110819, LN, Peoples R China
[2] China Jiliang Univ, Coll Mech & Elect Engn, Hangzhou 310018, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 225卷
基金：
国家高技术研究发展计划(863计划); 中国国家自然科学基金;
关键词：
Local exponential synchronization; Complex dynamical network; Time-varying delay; Hybrid coupling; NEURAL-NETWORKS; GLOBAL SYNCHRONIZATION; STABILITY; DISCRETE; ARRAY;
D O I：
10.1016/j.amc.2013.09.022
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the local exponential synchronization of complex dynamical networks with time-varying delay and hybrid coupling is investigated. We assume that the coupling configuration matrices are asymmetric and the inner coupling matrices are not restricted to be diagonal or positive definite. Through constructing the appropriate Lyapunov-Krasovskii functional and applying the linear matrix inequality (LMI) technique, several novel delay-depend sufficient conditions and the decay rate are deduced for the local exponential synchronization. Moreover, the derivative of the time-varying delay is extended to any value. Finally, the numerical simulations are given to show the effectiveness of the theoretical results. Crown Copyright (C) 2013 Published by Elsevier Inc. All rights reserved.
引用
收藏
页码：16 / 32
页数：17
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