Stochastic synchronization of complex networks via aperiodically intermittent noise

Abstract

This paper focuses on exponential synchronization of complex networks controlled by aperiodically intermittent noise with time delays. An aperiodically intermittent controller is designed to synchronize complex networks and the interval of intermittent rate is derived. Delay observations on the state of noise are made and the upper bound of time delays is obtained. A sufficient condition for exponential synchronization of the underlying systems is derived. Moreover, the auxiliary networks without time delays are introduced and the sufficient criterion for stochastic synchronization of the networks is also obtained. The comparison principle plays a significant role in synchronizing complex networks in this paper. An example is given to demonstrate the feasibility and effectiveness of the new approaches.