Exponential synchronization of the coupling delayed switching complex dynamical networks via impulsive control

Advances in Difference Equations

Shengbing Xu¹  Wuneng Zhou²  Anding Dai²  Jianan Fang²  Jianwen Feng³ 

[1] City college of Dong Guan University of Technology, DongGuan, PR China;College of Computer Sciences and Technology, Donghua University, Shanghai, China;College of Mathematics and Computational Science, Shenzhen University, Shenzhen, PR China

关键词: exponential synchronization;    complex dynamical network;    switching topology;    delayed coupling;   

DOI  :  10.1186/1687-1847-2013-195

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we investigate the exponential synchronization issue of coupling delayed switching complex dynamical networks via impulsive control. Basing on the Lyapunov functional method and establishing a new impulsive delay differential inequality, we derive some sufficient conditions which depend on delay and impulses to guarantee the exponential synchronization of the coupling delay switching complex dynamical network. Finally, numerical simulations are given to illustrate the effectiveness of the obtained results.

【 授权许可】

CC BY