Piecewise asymptotic almost periodic solutions for impulsive fuzzy Cohen–Grossberg neural networks

Abstract In this paper, we propose a new class of impulsive fuzzy Cohen–Grossberg neural networks (FCGNNs) with delays. It is well known that time delays and external impulsive can derail the stability of a given dynamical system and a fortiori in neural networks. Hence, in this paper, by designing a novel and adequate Lyapunov functional and using an appropriate fixed point theorem we derive several new sufficient conditions for the existence, uniqueness and global exponential stability of the considered model. Moreover, two numerical examples are given in order to illustrate the effectiveness of our theoretical results.