Almost periodic solutions for higher-order Hopfield neural networks without bounded activation functions

Abstract

In this paper, we consider higher-order Hopfield neural networks (HHNNs) with time-varying delays. Based on the fixed point theorem, Lyapunov functional method, differential inequality techniques, and without assuming the boundedness on the activation functions, we establish sufficient conditions for the existence and local exponential stability of the almost periodic solutions. The results of this paper are new and they complement previously known results.

Keywords

• High-order Hopfield neural networks
• almost periodic solution
• exponential stability
• time-varying delays