Stability and almost periodicity for delayed high-order Hopfield neural networks with discontinuous activations

In this paper, the stability and almost periodicity for delayed high-order Hopfield neural networks with discontinuous activations are investigated. Some new criteria ensuring the existence and global exponential stability of almost periodic solution for the considered neural network model are established by employing the differential inclusion theory, differential inequality technique, and Lyapunov functional approach, the results of this paper improve and complement previously known results. Finally, examples with numerical simulations are presented to demonstrate the effectiveness of theoretical results.