| 具有分布时滞的随机反应扩散细胞神经网络的几乎必然指数稳定性 |
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| 引用本文： | 张晓,徐瑞.具有分布时滞的随机反应扩散细胞神经网络的几乎必然指数稳定性[J].军械工程学院学报,2011(2):76-78. |
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| 作者姓名： | 张晓 徐瑞 |
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| 作者单位： | 军械工程学院基础部; |
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| 基金项目： | 国家自然科学基金资助项目(10671209) |
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| 摘 要： | 研究一类具有分布时滞和反应扩散的随机细胞神经网络的稳定性。通过构造Lyapunov泛函,并利用It公式、半鞅收敛定理以及不等式技巧,得到了系统几乎必然指数稳定的充分条件。
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| 关 键 词： | 反应扩散 随机细胞神经网络 指数稳定性 分布时滞 |
Almost Sure Exponential Stability of Stochastic Reaction-diffusion Cellular Neural Networks with Distributed Delays |
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| ZHANG Xiao,XU Rui.Almost Sure Exponential Stability of Stochastic Reaction-diffusion Cellular Neural Networks with Distributed Delays[J].Journal of Ordnance Engineering College,2011(2):76-78. |
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| Authors: | ZHANG Xiao XU Rui |
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| Institution: | ZHANG Xiao,XU Rui (Department of Basic Courses,Ordnance Engineering College,Shijiazhuang 050003,China) |
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| Abstract: | In this paper,a stochastic reaction-diffusion cellular neural network with distributed delays is investigated.By using It's formula,Lyapunov functional,the semimartingale convergence theorem and the technique of inequalities,some sufficient conditions ensuring almost sure exponential stability are derived. |
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| Keywords: | reaction-diffusion stochastic cellular neural networks exponential stability distributed delay |
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