带有时变时滞的中立型神经网络的鲁棒指数稳定性

董亚丽,左世凯,刘婉军

系统科学与数学 ›› 2014, Vol. 34 ›› Issue (11) : 1391-1400.

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PDF(288 KB)
系统科学与数学 ›› 2014, Vol. 34 ›› Issue (11) : 1391-1400. DOI: 10.12341/jssms12461
论文

带有时变时滞的中立型神经网络的鲁棒指数稳定性

    董亚丽,左世凯,刘婉军
作者信息 +

ROBUST EXPONENTIAL STABILITY FOR NEUTRAL-TYPE NEURAL NETWORKS WITH TIME-VARYING DELAYS

    DONG Yali, ZUO Shikai, LIU Wanjun
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摘要

研究一类带有时变时滞的中立型神经网络的全局指数稳定 性问题. 通过构造Lyapunov-Krasovskii 泛函并使用线性矩阵不等式方法, 建立了保障时滞神经网络全局指数稳定的新的时滞相关充分条件. 这些条 件用线性矩阵不等式表达. 进一步, 文章对一类不确定时滞中立型神经网络 给出了鲁棒全局指数稳定的新判据.

Abstract

The paper is concerned with global exponential stability for a class of neutral-type neural networks with time-varying delays. By constructing an appro- riate Lyapunov-Krasovkii functional and with the help of linear matrix inequality (LMI) approaches, some delay-dependent sufficient conditions to guarantee the glob- ally exponential stability of such systems are established in terms of the linear matrix inequality (LMI). Furthermore, some novel criteria of robust globally exponential stability for a class of uncertain time-delay neutral-type neural networks are given.

关键词

全局指数稳定 / 中立型 / 神经网络 / 线性矩阵不等式 / 时变时滞.

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董亚丽 , 左世凯 , 刘婉军. 带有时变时滞的中立型神经网络的鲁棒指数稳定性. 系统科学与数学, 2014, 34(11): 1391-1400. https://doi.org/10.12341/jssms12461
DONG Yali , ZUO Shikai , LIU Wanjun. ROBUST EXPONENTIAL STABILITY FOR NEUTRAL-TYPE NEURAL NETWORKS WITH TIME-VARYING DELAYS. Journal of Systems Science and Mathematical Sciences, 2014, 34(11): 1391-1400 https://doi.org/10.12341/jssms12461
中图分类号: 93D09    93C10    34K20   
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