Anti-Periodic Solutions for Shunting Inhibitory Cellular Neural Networks with Continuously Distributed Delays

Huiyan Kang, SI Li-geng · 2010

This paper is concerned with the existence and exponential stability of anti-periodic solutions for shunting inhibitory cellular neural networks (SICNNs) with continuously distributed delays arising from the description of the neur-ons' state in delayed neural networks. Without assuming the global Lipschitz and bounded conditions of activation functions, new sufficient conditions ensuring the existence and exponential stability of anti-periodic solutions for SICNNs are established. Moreover an example is given to illustrate the feasibility of the conditions in our results.

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