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带有时滞的随机区间Hopfield神经网络的指数稳定性(英文) 被引量：2

Exponential stability for stochastic interval delayed Hopfield neural networks
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摘要 讨论了带有可变时滞的随机区间Hopfield神经网络的指数稳定性 ,利用It^o公式和Lyapunov函数 ,得到了几个关于其指数稳定时滞无关和时滞相关的充分性条件 ,推广了现有文献中关于定常时滞随机神经网络及其确定形式的许多结果 . A type of stochastic interval delayed Hopfield neural network had been studied. By using It formula and Lyapunov function, some new delay-dependent and delay-independent sufficient conditions of its global exponential stability had been given. All the results obtained were generalizations of some recent results reported in the literature for stochastic neural networks with constant delays or their certain cases with variable-delays.
作者 张玉民 沈轶 廖晓昕
机构地区 华中科技大学控制科学与工程系
出处 《控制理论与应用》 EI CAS CSCD 北大核心 2003年第5期746-748,共3页 Control Theory & Applications
基金 supportedbytheNationalNaturalScienceFoundationofChina (60 0 740 0 8 60 2 740 0 7 60 2 740 2 6) theNationalDoctoralFoundationofChina (2 0 0 10 4870 0 5 ) .
关键词 HOPFIELD神经网络 指数稳定性 时滞 LYAPUNOV函数 stochastic interval delayed Hopfield neural network Brownian motion It formula Lyapunov function robust stability
分类号 TP183 [自动化与计算机技术—控制理论与控制工程]
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参考文献19

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共引文献15

同被引文献11

  • 1赵杰民,黄克累,陆启韶.THE　EXISTENCE　OF　PERIODIC　SOLUTIONS　FOR　A　CLASS　OF　FUNCTIONAL　DIFFERENTIAL　EQUATIONS　AND　THEIR　APPLICATION[J].Applied Mathematics and Mechanics(English Edition),1994,15(1):49-59. 被引量：4
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控制理论与应用
2003年 第5期

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