Delay-dependent global stability results for delayed Hopfield neural networks

Qiang Zhang and Xiaopeng Wei Jin Xu

Chaos, Solitons & Fractals, 2007, vol. 34, issue 2, 662-668

Abstract: In this paper, by utilizing Lyapunov functional method and the linear matrix inequality approach, we analyze the global asymptotic stability of Hopfield neural networks with time delays. A new sufficient condition ensuring global asymptotic stability of the unique equilibrium point of delayed Hopfield neural networks is obtained. The result is related to the size of delays. A numerical example is given to illustrate the efficiency of our result.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:34:y:2007:i:2:p:662-668

DOI: 10.1016/j.chaos.2006.03.073

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