Exponential synchronization of stochastic time-delayed memristor-based neural networks via distributed impulsive control

Abstract

Abstract The issue of exponential synchronization of stochastic time-delayed memristor-based neural networks via distributed impulsive control is considered. Based on the characteristics of memristor, the corresponding drive and response stochastic memristor-based neural networks with distributed impulsive control input are established. Then the synchronization error system is gained by using the concept of synchronization and stochastic differential inclusion theory. Through the generalized impulsive delay differential inequality technique, the criteria to guarantee that the error system is exponentially mean square stable, namely that the drive and response systems achieve the exponential synchronization is acquired. At last, the numerical simulation verifies the effectiveness of the obtained theoretical results.