Synchronization analysis of directed complex networks with time-delayed dynamical nodes and impulsive effects
Synchronization analysis of directed complex networks with time-delayed dynamical nodes and impulsive effects
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DOI：
10.1007/s11071-014-1238-z
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发表时间：
2014-01
影响因子：
5.6
通讯作者：
Shuiming Cai;Peipei Zhou;Zengrong Liu
中科院分区：
文献类型：
--
作者：
Shuiming Cai;Peipei Zhou;Zengrong Liu
本文分析了脉冲对一类一般时滞动态网络同步的影响。假设网络拓扑是有向的，并且与生成树弱连接。考虑了发生在节点状态下的两种脉冲：(I)同步脉冲，即它们可以增强动态网络的同步；(Ii)去同步脉冲，定义为脉冲效应，可以抑制动态网络的同步。对于每类脉冲，利用平均脉冲区间的概念和比较原理，得到了一些新的、保守性较小的全局指数同步判据。结果表明，该判据与网络的脉冲强度、平均脉冲间隔和网络的拓扑结构密切相关。所得到的结果不仅可以提供一种有效的脉冲控制策略来同步任意给定的时滞动态网络，即使原始网络本身可能是异步的，而且还表明在该策略下可以保持潜在时滞动态网络的脉冲扰动全局指数同步。最后给出了数值仿真，验证了理论结果的有效性。
In this paper, the effect of impulses on the synchronization of a class of general delayed dynamical networks is analyzed. The network topology is assumed to be directed and weakly connected with a spanning tree. Two types of impulses occurred in the states of nodes are considered: (i) synchronizing impulses meaning that they can enhance the synchronization of dynamical networks; and (ii) desynchronizing impulses defined as the impulsive effects can suppress the synchronization of dynamical networks. For each type of impulses, some novel and less conservative globally exponential synchronization criteria are derived by using the concept of average impulsive interval and the comparison principle. It is shown that the derived criteria are closely related with impulse strengths, average impulsive interval, and topology structure of the networks. The obtained results not only can provide an effective impulsive control strategy to synchronize an arbitrary given delayed dynamical network even if the original network may be asynchronous itself but also indicate that under which impulsive perturbations globally exponential synchronization of the underlying delayed dynamical networks can be preserved. Numerical simulations are finally given to demonstrate the effectiveness of the theoretical results.