Formula omitted]-pseudo almost periodic solutions of Clifford-valued high-order HNNs with multiple discrete delays

Abstract

In this paper, we consider a class of Clifford-valued higher order Hopfield neural networks (HNNs) with multiple discrete delays whose coefficients of the leakage terms are also Clifford numbers. By a direct approach, based on the fixed point theorem and differential inequality techniques, we gain the existence and global exponential stability of (μ,ν)-pseudo almost periodic solutions of the proposed networks. Finally, we use an example to illustrate the feasibility of our results. Our results are new even when the considered HNNs degenerate into real-valued, complex-valued and quaternion-valued ones.