Dynamical behavior of stochastic cellular neural networks with distributed time delays

Abstract

This paper proposed a new class of stochastic cellular neural networks (SCNNs) with distributed time delays. It is driven by time‐varying Brownian motion. By constructing the Lyapunov functions with a more concise form and using the time‐varying Itô formula, combining some inequality techniques, this paper proved the almost surely exponential stability and the ‐th moment exponential stability of the solution of the SCNNs. The numerical example verifies the theoretical results of this paper.