Synchronization in complex networks with switching topology

被引：53
|
作者：
Wang, Lei [1 ,2 ]
Wang, Qing-guo [3 ]
机构：
[1] Beihang Univ, Sch Math & Syst Sci, Beijing 100191, Peoples R China
[2] Beihang Univ, LMIB, Beijing 100191, Peoples R China
[3] Natl Univ Singapore, Dept Elect & Comp Engn, Singapore 119260, Singapore
来源：
PHYSICS LETTERS A | 2011年 / 375卷 / 34期
基金：
中国国家自然科学基金;
关键词：
Synchronization; Complex networks; Switching topology; Common Lyapunov function; DYNAMICAL NETWORKS; SYSTEMS;
D O I：
10.1016/j.physleta.2011.06.054
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This Letter investigates synchronization issues of complex dynamical networks with switching topology. By constructing a common Lyapunov function, we show that local and global synchronization for a linearly coupled network with switching topology can be evaluated by the time average of second smallest eigenvalues corresponding to the Laplacians of switching topology. This result is quite powerful and can be further used to explore various switching cases for complex dynamical networks. Numerical simulations illustrate the effectiveness of the obtained results in the end. Crown Copyright (C) 2011 Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：3070 / 3074
页数：5
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