Periodically intermittent control for synchronized stationary distribution and synchronization of memristor-based stochastic coupled systems

Abstract

This article is concerned with inner synchronized stationary distribution for memristor-based stochastic coupled systems for the first time. It is worth mentioning that periodically intermittent control that serves as a new technique is introduced into the investigation of synchronized stationary distribution. Based on the graph theory, the Lyapunov method and periodically intermittent control strategy, two main theorems that guarantee the existence of a synchronized stationary distribution are obtained, whose results illustrate that the existing region of synchronized stationary distribution depends on the control rate, coupled strength and so on. On the other hand, exponential synchronization is also taken into consideration and a theorem is presented. In addition, as applications, memristor-based stochastic coupled oscillators and stochastic coupled Chua’s circuits are presented to verify the practicability of theoretical results. Finally, two simulation examples are given to demonstrate the effectiveness and feasibility of theoretical results.