| 具有混合时滞和脉冲效应的随机反应扩散Cohen-Grossberg神经网络的指数稳定性 |
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| 引用本文： | 杜艳可,徐瑞. 具有混合时滞和脉冲效应的随机反应扩散Cohen-Grossberg神经网络的指数稳定性[J]. 生物数学学报, 2013, 0(4): 643-648 |
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| 作者姓名： | 杜艳可 徐瑞 |
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| 作者单位： | 军械工程学院应用数学研究所,河北石家庄050003 |
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| 基金项目： | 国家自然科学基金资助项目（11071254）;河北省自然科学基金资助项目（A2013506012） |
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| 摘 要： | 研究了一类具有混合时滞和脉冲效应的随机反应扩散Cohen—Grossberg神经网络模型，应用M-矩阵，It微分公式和分析技巧，得到了模型平衡点的全局均方指数稳定性的充分条件，所得结果推广了已有的工作．
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| 关 键 词： | 随机Cohen—Grossberg神经网络 反应扩散 时滞 脉冲效应 均方指数稳定性 |
Exponential Stability of Stochastic Reaction-diffusion Cohen-Grossberg Neural Networks with Mixed Time Delays and Impulsive Effect |
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| DU Yan-ke,XU Rui. Exponential Stability of Stochastic Reaction-diffusion Cohen-Grossberg Neural Networks with Mixed Time Delays and Impulsive Effect[J]. Journal of Biomathematics, 2013, 0(4): 643-648 |
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| Authors: | DU Yan-ke XU Rui |
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| Affiliation: | (Institute of Applied Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang Hebei 050003 China) |
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| Abstract: | A class of stochastic reaction-diffusion Cohen-Grossberg neural networks with mixed time delays and impulsive effect is investigated. By employing M-matrix theory, It6 dif- ferential formula and analysis technique, a sufficient condition is obtained to ensure the globally mean square exponential stability of the equilibrium to the model, and some previously published results are improved. |
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| Keywords: | Stochastic Cohen-Grossberg neural network Reaction-diffusion Time delay Impulsive effect Mean square exponential stability |
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