$$(\mu ,\nu )$$(μ,ν)-Pseudo-almost automorphic solutions for high-order Hopfield bidirectional associative memory neural networks

Abstract

This article is concerned with a high-order Hopfield bidirectional associative memory neural networks with time-varying coefficients and mixed delays. Sufficient conditions are derived for the existence, the uniqueness and the exponential stability of $$(\mu ,\nu )$$-pseudo-almost automorphic solutions of the considered model. Banach fixed-point theorem is applied for the existence and the uniqueness results. Global exponential stability is derived via differential inequalities. Finally, two examples are provided to support the feasibility of the theoretical results.