Cluster Synchronization of Stochastic Complex Networks with Markovian Switching and Time-Varying Delay via Impulsive Pinning Control

Abstract EN

This paper studies the cluster synchronization of a kind of complex networks by means of impulsive pinning control scheme.

These networks are subject to stochastic noise perturbations and Markovian switching, as well as internal and outer time-varying delays.

Using the Lyapunov-Krasovskii functional, Itö’s formula, and some linear matrix inequalities (LMI), several novel sufficient conditions are obtained to guarantee the desired cluster synchronization.

At the end of this writing, a numerical simulation is given to demonstrate the effectiveness of those theoretical results.