A Stochastic Neutral Cellular Neural Networks Model Driven by G-Brownian Motion

Abstract

In this paper, we propose a new stochastic neutral cellular neural networks model with time delay driven by G -Brownian motion (G-SNCNNs for short). By using fixed point theory and G-expectation analysis methods, the exponential stability and some sufficient conditions on the exponential stability in mean square of the solutions for G-SNCNNs are presented. Finally, a typical case is given to illustrate the effectiveness of the theoretical result.