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随机区间时滞Hopfield神经网络的指数稳定性

Exponential stability of stochastic interval Hopfield Neural Networks with variable-delays
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摘要 讨论了一类带有可变时滞的随机区间Hopfield神经网络的指数稳定性 ,利用李雅普罗夫函数和Razuminkhin 定理 ,得到了一些关于该系统均方指数稳定与几乎必然稳定的时滞无关和时滞相关的充分性判据 。 A type of stochastic interval Hopfield Neural Network w ith time-varying delayed was studied. Using Lyapunov function and Razumikhin th eorem, some new delay-dependent and delay-independent sufficient criteria of i ts mean square global exponential stability or almost surely global exponential stability were given. All the results were generalizations of some recent result s reported in the literature for stochastic Neural Networks with constant delays or some certain cases with variable-delays.
出处 《华中科技大学学报(自然科学版)》 EI CAS CSCD 北大核心 2004年第2期29-31,37,共4页 Journal of Huazhong University of Science and Technology(Natural Science Edition)
基金 国家自然科学基金资助项目(60074008 60274026) 博士学科点专项基金资助项目(20010487005)
关键词 随机区间Hopfield神经网络 李雅普罗夫函数 Razumikhin定理 鲁棒稳定性 stochastic interval delayed Hopfield Neural N etwork Lyapunov function Razumikhin theorem robust stability
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参考文献5

  • 1Baldi P,Atiya A F.How delays affect neural dynamics and learning[].IEEE Transactions on Neural Networks.1994
  • 2Mao X.Razumikhin-type theorems on exponential stability of stochastic functional differential equations[].Stochastic Processes and Their Applications.1996
  • 3Mao X,Selfridge C.Stability of stochastic systems with time delays[].Systems and Control Letters.2001
  • 4Liao X F.Novel robust stability criteria for interval-delayed Hopfield neural networks[].IEEE Transactions on Circuits and Systems.2001
  • 5Liao X F,Yu J.Robust stability for interval Hopfield neural networks with time delays[].IEEE Transactions on Neural Networks.1998

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