| 随机变时滞神经网络的全局渐近稳定性 |
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| 引用本文： | 罗日才,许弘雷. 随机变时滞神经网络的全局渐近稳定性[J]. 通信技术, 2009, 42(6): 197-199 |
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| 作者姓名： | 罗日才 许弘雷 |
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| 作者单位： | 1. 河池学院数学系,广西,宜州,546300;贵州大学理学院,贵州,贵阳,550025
2. 贵州大学理学院,贵州,贵阳,550025;澳大利亚科廷科技大学数学与统计系,澳大利亚 |
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| 基金项目： | 国家自然科学基金，贵州大学引进人才科研项目 |
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| 摘 要： | 研究了一类具有变时滞随机神经网络模型平衡点的全局渐近稳定性问题，通过构造李亚普诺夫函数并利用线性矩阵不等式理论，得出了随机变时滞神经网络的全局渐近稳定性的充分条件。
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| 关 键 词： | 李亚普诺夫函数 随机神经网络 变时滞 全局渐近稳定性 |
Global Asymptotic Stability of Stochastic Neural Networks with Variable Delays |
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| LUO Ri-cai,XU Hong-lei. Global Asymptotic Stability of Stochastic Neural Networks with Variable Delays[J]. Communications Technology, 2009, 42(6): 197-199 |
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| Authors: | LUO Ri-cai XU Hong-lei |
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| Affiliation: | LUO Ri-cai, XU Hong-lei(1.Department of Mathematics, Hechi University, Yizhou, Guangxi 546300, China 2.College of Science, Guizhou university, Guiyang, Guizhou 550025, China 3.Department of Mathematics and Statistics, Curtin University of Technology, Perth, WA, Australia) |
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| Abstract: | This paper describes the studies on the global asymptotic stability of the equilibrium point of a neural networks with variable delays, and by constructing proper Lyapunov function and applying of linear matrix inequality, some sufficient conditions are derived for the global asymptotic stability of the stochastic neural networks with variable delays. |
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| Keywords: | Lyapunov function stochastic neural network variable delays： globally asymptotic stability |
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