| 一类脉冲Cohen-Grossberg神经网络P阶矩指数稳定 |
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| 引用本文： | 张为元,赵书改.一类脉冲Cohen-Grossberg神经网络P阶矩指数稳定[J].咸阳师范专科学校学报,2013(4):1-5. |
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| 作者姓名： | 张为元 赵书改 |
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| 作者单位： | 咸阳师范学院数学与信息科学学院,陕西咸阳712000 |
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| 基金项目： | 陕西省教育厅自然科学基金项目（2013JK0578）;咸阳师范学院博士引进项目（12XSYK008）. |
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| 摘 要： | 考虑一类时滞脉冲随机Cohen—Grossberg神经网络p阶矩指数稳定。通过构造适当的Lyapunov＂,~，利用Halanay~Hardy不等式，建立了一类时滞脉冲随机Cohen．Grossberg神经网络P阶矩指数稳定的判据。该判据改进和推广了先前文献的一些结果。
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| 关 键 词： | 神经网络 混合时滞 脉冲随机护阶矩指数稳定 Lyapullov泛函 |
pth Moment Exponential Stability for Impulsive Cohen-Grossberg Neural Networks |
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| ZHANG Wei-yuan,ZHAO Shu-gai.pth Moment Exponential Stability for Impulsive Cohen-Grossberg Neural Networks[J].Journal of Xianyang Teachers College,2013(4):1-5. |
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| Authors: | ZHANG Wei-yuan ZHAO Shu-gai |
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| Institution: | (School of Mathematics and Information Science, Xianyang Normal University, Xianyang 712000, Shaanxi, China) |
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| Abstract: | In this paper, pth moment exponential stability is considered for a class of impulsive stochastic Cohen-Grossberg neural networks with mixed time delays. By employing suitable Lyapunov functionals, applying well-known Halanay and Hardy inequalities, sufficient conditions ofpth moment exponential stability have been established for Cohen-Grossberg neural networks with mixed time de- lays. The derived criteria extend and improve previous results in the literature. |
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| Keywords: | neural networks mixed time delays impulsive stochastic pth moment exponential stability Lyapunov functional |
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