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多时滞随机神经网络的稳定性 被引量:1

Stability of Stochastic Neural Networks with Multi-Delay
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摘要 通过构建李雅普偌夫函数的方法和利用半鞅收敛定理对一类随机时滞神经网络的全局指数稳定进行了分析,提出了易于判定随机时滞神经网络几乎必然指数稳定性新的代数判据,推广了[1]中的主要结论. Globally exponential stability of a class of stochastic neural networks with delay are analyzed via the method of constructing suitable Lyapunov function and nonnegative semi-martingale convergence theorem. New algebraic criteria are given for almost exponential stability. We extend the main conclusion of the article [1].
出处 《应用数学》 CSCD 北大核心 2006年第1期61-65,共5页 Mathematica Applicata
基金 国家自然科学基金(60574025 60274007) 湖北省自然科学基金(2004ABA055)资助项目
关键词 半鞅收敛定理 神经网络 时滞 李雅普偌夫函数 Semi-martingale convergence theorem Neural networks Delay-time Lyapunov function
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参考文献10

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二级参考文献7

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同被引文献7

  • 1江明辉,沈轶,廖晓昕.不确定中立型线性随机时滞系统的鲁棒稳定性[J].应用数学和力学,2007,28(6):741-748. 被引量:6
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