Existence and exponential stability for anti-periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays

Abstract

This article concerns anti-periodic solutions for shunting inhibitory cellular neural networks (SICNNs), with continuously distributed delays, arising from the description of the neurons state in delayed neural networks. Without assuming global Lipschitz conditions of activation functions, we obtain existence and local exponential stability of anti-periodic solutions.

Keywords

• Shunting inhibitory cellular neural networks
• anti-periodic solution
• exponential stability
• continuously distributed delays