Pinning synchronization of delayed complex dynamical networks with nonlinear coupling

被引:31
|
作者
Cheng, Ranran [1 ]
Peng, Mingshu [1 ]
Yu, Weibin [1 ]
机构
[1] Jiao Tong Univ, Dept Math, Beijing 100044, Peoples R China
基金
中国国家自然科学基金;
关键词
Pinning synchronization; Complex dynamical networks; Delay; Lyapunov functions;
D O I
10.1016/j.physa.2014.06.034
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this paper, we find that complex networks with the Watts-Strogatz or scale-free BA random topological architecture can be synchronized more easily by pin-controlling fewer nodes than regular systems. Theoretical analysis is included by means of Lyapunov functions and linear matrix inequalities (LMI) to make all nodes reach complete synchronization. Numerical examples are also provided to illustrate the importance of our theoretical analysis, which implies that there exists a gap between the theoretical prediction and numerical results about the minimum number of pinning controlled nodes. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码:426 / 431
页数:6
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