Synchronized stationary distribution and synchronization for memristor-based complex networks via intermittent control

Synchronized stationary distribution and exponential synchronization analysis for stochastic memristor-based complex networks are investigated. It should be pointed out that aperiodically intermittent control is introduced to our models. Under the framework of the Lyapunov method and graph theory, the synchronized stationary distribution and the exponential synchronization of a class of complex networks modeled by memristor are investigated and some sufficient conditions are presented. The results obtained reveal aperiodically intermittent control influences a lot on the existing area for synchronized stationary distribution and the realization of the exponential synchronization. And two applications including stochastic memristor-based coupled oscillators and coupled Chua's circuits models are provided. Moreover, numerical simulations of two examples are presented to illustrate the effectiveness and availability for the theoretical results gained in this paper.