| 含混合时滞和脉冲的Cohen-Grossberg神经网络的全局指数稳定性 |
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| 引用本文： | 韩天勇. 含混合时滞和脉冲的Cohen-Grossberg神经网络的全局指数稳定性[J]. 应用数学, 2009, 22(2) |
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| 作者姓名： | 韩天勇 |
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| 作者单位： | 成都大学信息科学与技术学院,四川,成都,610106 |
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| 摘 要： | 本文讨论了含混合时滞和脉冲的Cohen-Grossberg神经网络的稳定性.通过应用M矩阵理论和不等式技巧,得到了含混合时滞的Cohen-Grossberg神经网络平衡态的全局指数稳定性的充分条件.相比以前同类文献,本文减弱了部分条件,推广了部分结论,并在文末给出了两个示例.本文结论对于设计和应用神经网络有一定实用价值.
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| 关 键 词： | 全局指数稳定 Cohen-Grossberg神经网络 混合时滞 脉冲 M矩阵 |
Global Exponential Stability of Cohen-Grossberg Neural Networks with Mixed Delays and Impulses |
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| HAN Tian-yong. Global Exponential Stability of Cohen-Grossberg Neural Networks with Mixed Delays and Impulses[J]. Mathematica Applicata, 2009, 22(2) |
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| Authors: | HAN Tian-yong |
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| Abstract: | In this paper,the Cohen-Grossberg neural networks with mixed delays and impulses are considered.Applying the idea of M-matrix theory and inequality technique,several new sufficient conditions are obtained to ensure global exponential stability of equilibrium point for impulsive Cohen-Grossberg neural networks with mixed delays and impulses.These results generalize a few previous known results and remove some restrictions on the neural network.Two examples are given to show the effectiveness of the obtained results. |
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| Keywords: | Global exponential stability Cohen-Grossberg neural network Mixed delays Impulses M-matrix |
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