| 具有分布时滞的脉冲Cohen-Grossberg神经网络的指数稳定性 |
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| 引用本文： | 龙述君. 具有分布时滞的脉冲Cohen-Grossberg神经网络的指数稳定性[J]. 四川师范大学学报(自然科学版), 2009, 32(1) |
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| 作者姓名： | 龙述君 |
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| 作者单位： | 乐山师范学院,数学系,四川,乐山,614004 |
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| 基金项目： | 四川省教育厅自然科学青年科研基金 |
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| 摘 要： | 利用非负矩阵的谱半径和M-矩阵的性质,以及不等式分析技巧研究了具有分布时滞和脉冲的Cohen-Grossberg神经网络,得到了其平衡点存在性和指数稳定性的充分判据,结果去掉了放大器函数αi(s)(i=1,2,…,n)的上界限制,从而推广了一些文献的结果.
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| 关 键 词： | Cohen-Grossberg神经网络 分布时滞 谱半径 指数稳定性 |
Exponential Stability for Impulsive Cohen-Grossberg Neural Networks with Distributed Delays |
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| LONG Shu-jun. Exponential Stability for Impulsive Cohen-Grossberg Neural Networks with Distributed Delays[J]. Journal of Sichuan Normal University(Natural Science), 2009, 32(1) |
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| Authors: | LONG Shu-jun |
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| Affiliation: | Department of Mathematics;Leshan Teachers College;Leshan 614004;Sichuan |
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| Abstract: | In this paper,by using spectral radius of nonnegative matrices,the properties of M-matrices and inequality analysis technique,the global exponential stability of Cohen-Grossberg neural networks with distributed delays and impulse is studied.Some sufficient conditions for existence and exponential stability are given.In our results,we improve the constraint condition of functions ai(s) and expand the results in previous papers. |
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| Keywords: | Cohen-Grossberg neural networks Distributed delays Spectral radius Exponential stability |
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