Periodic solutions and exponential stability for shunting inhibitory cellular neural networks with continuously distributed delays

Abstract

In this paper, we consider a class of shunting inhibitory cellular neural networks with continuously distributed delays (SICNNs). The delays are unbounded and the activation function is not assumed to be bounded. Using the continuation theorems of coincidence degree theory, Lyapunov functional method, we obtain new sufficient conditions for the existence and local exponential stability of periodic solutions of (SICNNs). Numerical examples illustrated our results are given.

Keywords

• Periodic solutions
• exponential stability
• unbounded delays
• shunting inhibitory
• cellular neural networks