| 变时延神经网络的全局指数稳定性及收敛性 |
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| 引用本文： | 吴燕仙,邹晓光,吕瑞芳.变时延神经网络的全局指数稳定性及收敛性[J].生物数学学报,2009,24(1):40-46. |
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| 作者姓名： | 吴燕仙 邹晓光 吕瑞芳 |
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| 作者单位： | 吴燕仙,WU Yan-xian(金华教育学院,现代教育技术中心,浙江,金华,321000);邹晓光,吕瑞芳,ZOU Xiao-guang,LV Rui-fang(金华教育学院,数理系,浙江,金华,321000)
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| 摘 要： | 利用Lyapunov泛函方法和线性矩阵不等式（LMI）技术,通过引入一系列参数,给出全局指数稳定的平衡点的判别条件和时延的最大上界和神经网络的收敛速度,所得结果较之一些文献中的结果简单、实用并且对于具体设计带时延神经网络有重要的指导意义.最后,通过实例表明给出的判定条件是有效、可行的.
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| 关 键 词： | 指数稳定 神经网络 变时延 Lyapunov函数 收敛 |
On the Global Exponential Stability and Convergence of Neural Networks with Time-Varying Delays |
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| WU Yan-xian,ZOU Xiao-guang,LV Rui-fang.On the Global Exponential Stability and Convergence of Neural Networks with Time-Varying Delays[J].Journal of Biomathematics,2009,24(1):40-46. |
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| Authors: | WU Yan-xian ZOU Xiao-guang LV Rui-fang |
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| Institution: | WU Yan-xian ZOU Xiao-guang LV Rui-fang (1 Modern Education Technique Center of Jinhua College, Jinhua Zhejiang 321000 China;2 Mathematies and Physics Department of Jinhua College, Jinhua Zhejiang 32100 China) |
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| Abstract: | This paper investigates the global exponential stability of neural networks with time-varying delays.Based on the Lyapunov stability theory and linear matrix inequality（LMI） technique,several new sufficient conditions guaranteeing the global exponential stability of the equilibrium point are obtained.In addition,the maximum bounds of the time delays and the convergence rate can be estimated.These results are simple and practical than given by some results in the literature,and have a leading importance to design networks with time-varying delay. Several examples are also given to illustrate the effectiveness of the given criteria. |
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| Keywords: | Exponential stability Neural networks Time-varying delays Lyapunov functional Convergence |
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