Effects of Time-Varying Impulses on the Synchronization of Delayed Dynamical Networks

被引：4

作者：

Cai, Shuiming ^{[1
]}

Zhou, Peipei ^{[1
]}

Liu, Zengrong ^{[2
]}

机构：

[1] Jiangsu Univ, Fac Sci, Zhenjiang 212013, Peoples R China

[2] Shanghai Univ, Inst Syst Biol, Shanghai 200444, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2013年

基金：

美国国家科学基金会;

关键词：

NEURAL-NETWORKS; COMPLEX NETWORKS; STABILITY ANALYSIS; SYSTEMS;

D O I：

10.1155/2013/212753

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The effects of time-varying impulses on the synchronization of a class of general complex delayed dynamical networks are investigated. Different from the existing works, the impulses discussed here are time-varying, and both synchronizing and desynchronizing impulses are considered in the network model simultaneously. Moreover, the network topology is assumed to be directed and weakly connected with a spanning tree. By using the comparison principle, some simple yet generic globally exponential synchronization criteria are derived. It is shown that besides impulse strengths and impulsive interval, the obtained criteria are also closely related with topology structure of the network. Finally, numerical examples are given to demonstrate the effectiveness of the theoretical results.

引用

页数：10

共 31 条

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