Existence and stability of almost periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays

Abstract

In this paper, we consider shunting inhibitory cellular neural networks (SICNNs) with continuously distributed delays. Sufficient conditions for the existence and local exponential stability of almost periodic solutions are established using a fixed point theorem, Lyapunov functional method, and differential inequality techniques. We illustrate our results with an example for which our conditions are satisfied, but not the conditions in [4,6,8].

Keywords

• Shunting inhibitory cellular neural networks
• almost periodic solution
• exponential stability
• continuously distributed delays.