Exponentially Synchronization of Stochastic Complex Networks with Time-varying Delays and Switching Topology via Pinning Control

Abstract

In this paper, the exponentially synchronization is investigated for stochastic complex networks with both switching topology and time-varying delays via pinning control. The model of complex network is quite general since many factors such as noise perturbations, switching topology and internal and outer time-varying delays are considered. By employing the Lyapunov-Krasovskii functional, the Ito formula, stochastic analysis theory as well as linear matrix inequality (LMI), the sufficient conditions are derived to guarantee the exponentially synchronization. The numerical examples are provided to show the effectiveness of the theoretical results.