| 变时滞随机Cohen-Grossberg神经网络的几乎肯定指数稳定性 |
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| 引用本文： | 彭思迪,彭国强.变时滞随机Cohen-Grossberg神经网络的几乎肯定指数稳定性[J].经济数学,2013,30(1):41-45. |
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| 作者姓名： | 彭思迪 彭国强 |
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| 作者单位： | 1. 湖南大学工商管理学院,湖南长沙,410082
2. 湖南大学数学与计量经济学院,湖南长沙,410082 |
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| 摘 要： | 通过构造Lyapunov泛函、利用半鞅收敛定理得到了变时滞随机Cohen-Grossberg神经网络几乎肯定指数稳定的判别准则.
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| 关 键 词： | 随机神经网络 时滞 It?公式 稳定性 |
Almost Sure Exponential Stability of Stochastic Cohen-Grossberg Neural Network with Time Varying Delays |
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| PENG Si-di,PENG Guo-qiang.Almost Sure Exponential Stability of Stochastic Cohen-Grossberg Neural Network with Time Varying Delays[J].Mathematics in Economics,2013,30(1):41-45. |
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| Authors: | PENG Si-di PENG Guo-qiang |
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| Institution: | 1.College of Business Administration,Hunan University,Changsha,Hunan 410082,China; 2.College of Mathematics and Econometrics,Hunan University,Changsha,Hunan 410082,China) |
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| Abstract: | Some stabilities of stochastic Cohen-Grossberg neural networks were studied. Under the help of Lyapunov functional and the semimartingale convergence theorem, we obtained some sufficient criteria to check the almost sure exponential stability of stochastic Cohen-Grossberg neural network with time varying delays. |
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