Lag synchronization of complex dynamical networks with hybrid coupling via adaptive pinning control

被引：12
作者：
Zhang, Xiaojun [1 ]
Yang, Huilan [1 ]
Zhong, Shouming [1 ]
机构：
[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China
来源：
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Lag synchronization; complex dynamical systems; pinning control; hybrid time-varying coupling; OBSERVER-BASED APPROACH; EXPONENTIAL SYNCHRONIZATION; CHAOTIC SYSTEMS; NEURAL-NETWORKS;
D O I：
10.22436/jnsa.009.06.107
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the problem of the lag synchronization between two general complex dynamical networks with mixed coupling by pinning control is studied. Based on the Lyaponov functional theory and mathematical analysis method, less conservative conditions of lag synchronization are obtained by adding the controllers to part of nodes. Moreover, the coupling con figuration matrices are not required to be symmetric or irreducible. It is shown that the lag synchronization of the drive and response systems can be realized via the linear feedback pinning control and adaptive feedback pinning control. These results remove some restrictions on the node dynamics and the number of the pinned nodes. Numerical examples are presented to illustrate the effectiveness of the theoretical results. (C) 2016 All rights reserved.
引用
收藏
页码：4678 / 4694
页数：17
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