IJMECS Vol. 3, No. 5, 8 Oct. 2011

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Global exponential stability, Shunting inhibitory cellular neural networks, Anti-periodic soluti-on, Continuously distributed delays, Lyapunov fuctions

In this paper, the existence and exponential stability of anti-periodic solutions for shunting inhibitory cellular neural networks (SICNNs) with continuously distributed delays are considered by constructing suitable Lyapunov fuctions and applying some critial analysis techniques. Our results remove restrictive conditions of the global Lipschitz and bounded conditions of activation functions and new sufficient conditions ensuring the exist-ence and exponential stability of anti-periodic solutions for SICNNs are obtained. Moreover, an example is given to illustrate the feasibility of the conditions in our results.

Huiyan Kang, Ligeng Si, "Stabilitty of Anti-periodic Solutions for Certain Shunting Inhibitory Cellular Neural Networks", International Journal of Modern Education and Computer Science(IJMECS), vol.3, no.5, pp.26-32, 2011. DOI:10.5815/ijmecs.2011.05.04

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