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细胞神经网络的指数稳定性 被引量:3

Exponential Stability of Cellular Neural Networks
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摘要 该文研究了具有可变时滞的随机细胞神经网络的指数稳定性,应用Razumikhin定理与Lyapunov函数,建立了这种细胞神经网络均方指数稳定与几乎必然指数稳定的两类判据,一类是时滞无关而另一类是时滞相关. In this paper the authors investigate the exponential stability of stochastic cellular neural networks with variable delay. By using the Razumikhin theorems and Lyapunov functions, the authors present two types of criteria for the exponential stability in the mena square and almost surely exponential stability of cellular neural networks. One type involves delay independent results while the other involves delay dependent results.
出处 《数学物理学报(A辑)》 CSCD 北大核心 2005年第2期264-268,共5页 Acta Mathematica Scientia
基金 国家自然科学基金 (60 0 740 0 8 60 2 740 0 7) 湖北省自然科学基金 (2 0 0 4ABA0 5 5 )资助
关键词 细胞神经网络 指数稳定性 Razumikhin定理 LYAPUNOV函数 Cellular neural network Exponential stability Razumikhin theorem Lyapunov function.
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参考文献11

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二级参考文献1

  • 1秦元勋,带有时滞的动力系统的运动稳定性(第2版),1989年

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