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Global exponential robust stability of Hopfield neural networks with reaction-diffusion trems and S-type distributed delays

MING Qing-he YANG Yan-ping KAO Yong-gui(Zaozhuang University,Zaozhuang,277160,China)  
This paper investigates the global exponential robust stability of reaction-diffusion Hopfield neural networks with S-type distributed delays.By means of the topological degree theory M-function,M-matrix,and general Halanay inequality technique,easily verifiable suffcient conditions to guarantee the exponential robust stability of an equilibrium solution associated with temporally uniform external inputs are obtained,without assuming the monotonicity and differentiability of activation functions.The results are new and helpful for designs and applications of neural networks.
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