Uniform stability of stochastic fractional- order fuzzy cellular neural networks with delay

Abstract

In this paper, a class of stochastic fractional-order fuzzy cellular neural networks with delays are studied. The main objective of this paper is to establish a new set of sufficient conditions, which is for the uniform stability in mean square of such stochastic fractional-order fuzzy cellular ne ural networks with delays. In particular, the existence and uniqueness of solutions and stability in mean square for a class of stochastic fractional-order fuzzy cellular neural networks with delays are studied by using Banach fixed point principle and stochastic analysis theory, respectively. We have improved and exteded some previous works to some extent, which are easy to check in practice. One example is given to illustrate the effectiveness of the obtained theory.