A unified synchronization criterion for impulsive dynamical networks
A unified synchronization criterion for impulsive dynamical networks
复制标题
脉冲动力网络的统一同步准则
DOI：
10.1016/j.automatica.2010.04.005
复制
发表时间：
2010-07-01
期刊：
影响因子：
6.4
通讯作者：
Cao, Jinde
中科院分区：
文献类型：
--
作者：
Lu, Jianquan;Ho, Daniel W. C.;Cao, Jinde
本文主要研究脉冲动力网络的全局指数同步问题。考虑了两种类型的脉冲：同步脉冲和去同步脉冲。在以往的文献中，所有的结果都致力于分别研究这两种脉冲。因此，一个自然的问题出现了：是否有统一的同步准则同时有效地同步脉冲和去同步脉冲？本文通过提出“平均脉冲区间”的概念，给出了有向脉冲动力网络的统一同步准则。从理论上和数值上证明了该准则比已有的结果保守。给出了包括无标度结构和小世界结构在内的数值例子，表明我们的结果适用于大规模网络。(C)2010爱思唯尔有限公司。保留所有权利。
This paper focuses on the problem of globally exponential synchronization of impulsive dynamical networks. Two types of impulses are considered: synchronizing impulses and desynchronizing impulses. In previous literature, all of the results are devoted to investigating these two kinds of impulses separately. Thus a natural question arises: Is there any unified synchronization criterion which is simultaneously effective for synchronizing impulses and desynchronizing impulses? In this paper, a unified synchronization criterion is derived for directed impulsive dynamical networks by proposing a concept named "average impulsive interval". The derived criterion is theoretically and numerically proved to be less conservative than existing results. Numerical examples including scale-free and small-world structures are given to show that our results are applicable to large-scale networks. (C) 2010 Elsevier Ltd. All rights reserved.