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New stability criteria for neutral-type Cohen-Grossberg neural networks with discrete and distributed delays

机译:具有离散和分布时滞的中立型Cohen-Grossberg神经网络的新稳定性准则

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摘要

This paper studies the existence, uniqueness and globally robust exponential stability for a class of uncertain neutral-type Cohen-Grossberg neural networks with time-varying and unbounded distributed delays. Based on Lyapunov-Krasovskii functional, by involving a free-weighting matrix, using the homeomor-phism mapping principle, Cauchy-Schwarz inequality, Jensen integral inequality, linear matrix inequality techniques and matrix decomposition method, several delay-dependent and delay-independent sufficient conditions are obtained for the robust exponential stability of considered neural networks. Two numerical examples are given to show the effectiveness of our results.
机译:本文研究了一类具有时变和无界分布时滞的不确定中立型Cohen-Grossberg神经网络的存在性,唯一性和全局鲁棒指数稳定性。基于Lyapunov-Krasovskii泛函,通过包含一个自由加权矩阵,使用同胚相映射原理,Cauchy-Schwarz不等式,Jensen积分不等式,线性矩阵不等式技术和矩阵分解方法,充分满足时滞和时滞要求获得了所考虑的神经网络的鲁棒指数稳定性的条件。给出了两个数值例子来说明我们的结果的有效性。

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