| 脉冲时滞Cohen-grossberg神经网络的指数稳定性 |
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| 引用本文： | 祝庆,张青,赵维锐.脉冲时滞Cohen-grossberg神经网络的指数稳定性[J].湖北民族学院学报(哲学社会科学版),2008,26(4). |
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| 作者姓名： | 祝庆 张青 赵维锐 |
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| 作者单位： | 武汉理工大学数学系,湖北武汉430070 |
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| 基金项目： | 武汉理工大学博士启动基金
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| 摘 要： | 分析了脉冲时滞Cohen-Grossberg神经网络的平衡点的存在唯一性及全局指数稳定性.利用Liapunov函数方法和同胚映射理论,结合积分不等式技巧,得到了保证脉冲时滞Cohen-Grossberg神经网络全局指数稳定性的一个新的充分判据.所得判据改进了前人的结果.
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| 关 键 词： | 神经网络 时滞 脉冲 指数稳定 |
Exponential Stability of Cohen-grossberg Neural Networks with Delays and Impulses |
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| ZHU Qing,ZHANG Qing,ZHAO Wei-rui.Exponential Stability of Cohen-grossberg Neural Networks with Delays and Impulses[J].Journal of Hubei Institute for Nationalities(Natural Sciences),2008,26(4). |
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| Authors: | ZHU Qing ZHANG Qing ZHAO Wei-rui |
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| Institution: | ZHU Qing,ZHANG Qing,ZHAO Wei-rui(Department of Mathematics,Wuhan University of Technology,Wuhan 430070,China) |
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| Abstract: | In this paper,we investigate the existence,uniqueness and global exponential stability of the equilibrium point for Cohen-grossberg neural networks with delays and impulses.Employing Lyapunov functional,the homeomorphism theorem and the technique of integral inequality,we present a new theorem to judge the global exponential stability of Cohen-grossberg neural networks with delays and impulses.The obtained results improve and generalize the previously published results. |
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| Keywords: | neural networks delays impulses exponential stability |
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