Eur. Phys. J. Special Topics 228, 2157-2170 (2019)
https://doi.org/10.1140/epjst/e2019-900031-y

Regular Article

Exponential synchronization of memristor-based delayed neutral-type neural networks with Lévy noise via impulsive control

School of Mathematics and Statistics, Xi’an JiaoTong University, 710049 Xi’an, Shaanxi, P.R. China

^a e-mail: ymkang@mail.xjtu.edu.cn

Received: 14 February 2019
Received in final form: 16 June 2019
Published online: 14 October 2019

Abstract

This paper is to deal with the pth (p = 2) moment exponential synchronization of stochastic memristor-based neutral-type neural networks with time-varying delays and Lévy noise via impulsive control. According to the characteristics of memristor and Lévy-Itô decomposition theorem, a model of stochastic memristor-based neutral-type neural networks with time-varying delays and Lévy noise is established. Then, by utilizing stochastic Lyapunov functional method and some stochastic analysis technique, sufficient conditions for pth (p = 2) moment exponential synchronization are obtained. It is shown that synchronization can be realized by impulsive control. Finally, a numerical example is presented to verify the effectiveness of the proposed criteria.