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Existence and Exponential Stability of Almost Periodic Solution for Hopfield Neural Network Equations with Almost Periodic Imput 被引量:2

Existence and Exponential Stability of Almost Periodic Solution for Hopfield Neural Network Equations with Almost Periodic Imput
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摘要 By constructing Liapunov functions and building a new inequality, we obtain two kinds of sufficient conditions for the existence and global exponential stability of almost periodic solution for a Hopfield-type neural networks subject to almost periodic external stimuli. Irt this paper, we assume that the network parameters vary almost periodically with time and we incorporate variable delays in the processing part of the network architectures. By constructing Liapunov functions and building a new inequality, we obtain two kinds of sufficient conditions for the existence and global exponential stability of almost periodic solution for a Hopfield-type neural networks subject to almost periodic external stimuli. Irt this paper, we assume that the network parameters vary almost periodically with time and we incorporate variable delays in the processing part of the network architectures.
作者 杨喜陶
出处 《Northeastern Mathematical Journal》 CSCD 2006年第2期199-205,共7页 东北数学(英文版)
基金 The Soft Project (B30145) of Science and Technology of Hunan Province.
关键词 Hopfield neural network almost periodic solution exponential stability Liapunov function Hopfield neural network, almost periodic solution, exponential stability,Liapunov function
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参考文献1

  • 1Sannay Mohamad.Convergence Dynamics of Delayed Hopfield-Type Neural Networks Under Almost Periodic Stimuli[J].Acta Applicandae Mathematicae.2003(2)

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