| 一类具有无穷分布时滞的反应扩散神经网络的全局渐近稳定性 |
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| 引用本文： | 吕天石,甘勤涛.一类具有无穷分布时滞的反应扩散神经网络的全局渐近稳定性[J].北华大学学报(社会科学版),2016,17(4):434-438. |
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| 作者姓名： | 吕天石 甘勤涛 |
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| 作者单位： | 军械工程学院基础部,河北 石家庄,050003;军械工程学院基础部,河北 石家庄,050003 |
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| 基金项目： | 国家自然科学基金项目(61305076)，军事工程学院基础部基础创新研究基金资助项目(JCCX1601) |
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| 摘 要： | 针对一类具有无穷分布时滞的反应扩散神经网络模型，在Dirichlet边界条件下应用Lyapunov稳定性理论，通过构造适当的Lyapunov-Krasovskii泛函获得了该系统的全局渐近稳定性判据，数值模拟说明了所得理论判据的可行性。
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| 关 键 词： | 全局渐近稳定性 反应扩散 无穷分布时滞 Lyapunov-Krasovskii泛函 |
Global Asymptotic Stability for a Class of Reaction-Diffusion Neural Networks with Infinite Distributed Delays |
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| LV Tianshi,Gan Qintao.Global Asymptotic Stability for a Class of Reaction-Diffusion Neural Networks with Infinite Distributed Delays[J].Journal of Beihua University(Social Sciences),2016,17(4):434-438. |
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| Authors: | LV Tianshi Gan Qintao |
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| Abstract: | This paper deals with the problem for a class of reaction-diffusion neural networks with infinite distributed delays under Dirichlet boundary conditions. By utilizing the Lyapunov stability theory and constructing suitable Lyapunov-Krasovskii functionals, we obtain global asymptotic stability criteria on the basis of linear matrix inequalities ( LMIs ) , which solvability heavily depends on the information of diffusion coefficient and diffusion space. The numerical simulation shows the efficiency of obtained theory criteria. |
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| Keywords: | global asymptotic stability reaction-diffusion infinite distributed delays Lyapunov-Krasovskii functional |
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