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一类含有时变时滞的不确定中立型Hopfield神经网络的鲁棒稳定性判据

DOI: 10.3724/SP.J.1004.2013.01421, PP. 1421-1430

Keywords: 鲁棒稳定性,中立型Hopfield神经网络,线性矩阵不等式,时变时滞,Lyapunov-Krasovskii泛函

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Abstract:

?针对一类不确定中立型时变时滞Hopfield神经网络的鲁棒稳定性问题,构造了一个新Lyapunov-Krasovskii泛函,并结合自由矩阵方法和牛顿—莱布尼茨公式,得到了新的时滞相关稳定性判据.该判据考虑了中立型时变时滞Hopfield神经网络中的参数不确定性,所得结果以线性矩阵不等式(Linearmatrixinequality,LMI)的形式给出,容易验证.最后,通过两个数值算例验证了该结果的有效性及可行性.该判据对丰富与完善中立型神经网络的稳定性理论体系,具有积极的意义.

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