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变时滞循环神经网络模型的全局指数稳定性
引用本文:夏文华.变时滞循环神经网络模型的全局指数稳定性[J].嘉兴学院学报,2005,17(3):26-28,65.
作者姓名:夏文华
作者单位:嘉兴学院数学与信息科学学院,浙江,嘉兴,314001
基金项目:校内青年基金项目资助课题(编号:70104036)
摘    要:利用Brouwer不动点定理,推广的Halanay时延微分不等式及Dini导数,讨论了具有变时滞循环神经网络模型的平衡点的存在性和全局指数稳定性,在不要求激活函数连续可导的条件下,得到了非常简单实用的判别条件。

关 键 词:变时滞  循环神经网络,全局指数稳定性
文章编号:1008-6781(2005)03-0026-03

LARGE Globally Exponential Stability of Recurrent Neural Networks with Time-Varying Delay
XIA Wen-hua.LARGE Globally Exponential Stability of Recurrent Neural Networks with Time-Varying Delay[J].Journal of Jiaxing College,2005,17(3):26-28,65.
Authors:XIA Wen-hua
Abstract:By using Brouwer's fixed theorem, generalized Halanay's delay differential inequality and Dini's derivative, the existence of stationary point and globally exponential stability of recurrent neural networks with time-varying delay are studied. Some results which are obviously easy to be used are obtained under conditions that activation functions are general.
Keywords:time-varying delay  recurrent neural networks  globally exponential stability
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