Synchronization of hybrid impulsive and switching dynamical networks with delayed impulses

被引：13

作者：

He, Guang ^{[1
,2
]}

Fang, Jian-an ^{[1
]}

Li, Zhen ^{[1
]}

机构：

[1] Donghua Univ, Coll Informat Sci & Technol, Shanghai 201620, Peoples R China

[2] Anhui Polytech Univ, Dept Math, Wuhu 241000, Anhui, Peoples R China

来源：

NONLINEAR DYNAMICS | 2016年 / 83卷 / 1-2期

关键词：

Impulsive and switching dynamical networks; Synchronization; Delayed impulses; NEURAL-NETWORKS; EXPONENTIAL SYNCHRONIZATION; COMPLEX NETWORKS; SPIRAL WAVE; TIME-DELAY; STABILITY; SYSTEMS; DEFECTS;

D O I：

10.1007/s11071-015-2319-3

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this paper, the exponential synchronization problem is investigated for a class of hybrid impulsive and switching dynamical networks (HISDNs). Different from the existing results concerning synchronization of HISDNs, impulsive input delays are considered in our model. Moreover, in our model, the impulsive instances and system switching instances do not need to be coincident. By using the Razumikhin theorem and the mathematical induction method, several sufficient synchronization criteria are obtained in terms of linear matrix inequalities. The obtained criteria reveal that the frequency of impulsive occurrence, impulsive input delays, can heavily affect the synchronization performance. Finally, an example is provided to illustrate the effectiveness of the obtained results.

引用

页码：187 / 199

页数：13

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