Cluster Synchronization of Impulsive Complex Networks with Stochastic Perturbations and Time-Varying Delays

This paper investigates the cluster synchronization of impulsive complex networks with stochastic perturbation and time-varying delays. Besides, the nodes in the complex networks are nonidentical. By utilizing the Lyapunov stability theory, stochastic analysis theory, and linear matrix inequalities...

Full description

Saved in:
Bibliographic Details
Main Authors: Yi Zhao, Jianwen Feng, Jingyi Wang
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/678543
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper investigates the cluster synchronization of impulsive complex networks with stochastic perturbation and time-varying delays. Besides, the nodes in the complex networks are nonidentical. By utilizing the Lyapunov stability theory, stochastic analysis theory, and linear matrix inequalities (LMI), sufficient conditions are derived to guarantee the cluster synchronization. The numerical simulation is provided to show the effectiveness of the theoretical results.
ISSN:1110-757X
1687-0042