Global exponential stability of impulsive Cohen–Grossberg neural networks with continuously distributed delays

Zhao Wu Ping and Jun Guo Lu

Chaos, Solitons & Fractals, 2009, vol. 41, issue 1, 164-174

Abstract: In this paper, several classes of impulsive Cohen–Grossberg neural networks with continuously distributed delays are considered. Global exponential stability and robust global exponential stability of the equilibrium solution are investigated by using Lyapunov function and integro-differential inequality. Moreover, sufficient conditions are also given to guarantee the existence of ϖ-periodic solution and that all other solutions are convergent to it globally exponentially. Finally, two examples are given to demonstrate the effectiveness of our results in this paper.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:41:y:2009:i:1:p:164-174

DOI: 10.1016/j.chaos.2007.11.022

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