| 一类延迟细胞神经网络全局渐近稳定性条件 |
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| 引用本文： | 刘静.一类延迟细胞神经网络全局渐近稳定性条件[J].山东大学学报(理学版),2009,44(4):61-65. |
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| 作者姓名： | 刘静 |
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| 作者单位： | 滨州学院数学与信息科学系;山东大学数学学院; |
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| 基金项目： | 滨州学院科研基金资助项目(BZXYKJ0805) |
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| 摘 要： | 通过应用李雅普诺夫函数和矩阵不等式的方法,给出判定一类延迟细胞神经网络平衡点惟一性和全局渐近稳定性的一个充分条件。 该条件包含并改进了已有文献中一些结果。
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| 关 键 词： | 李雅普诺夫函数 矩阵不等式 全局渐近稳定性 延迟细胞神经网络 |
| 收稿时间： | 2008-05-14 |
Global asymptotic stability condition for a class of delayed cellular neural networks |
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| LIU Jing.Global asymptotic stability condition for a class of delayed cellular neural networks[J].Journal of Shandong University,2009,44(4):61-65. |
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| Authors: | LIU Jing |
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| Institution: | 1.Department of Mathematics and Information Science;Binzhou University;Binzhou 256603;Shandong;China;2.Department of Mathematics and Systems Science;Shandong University;Jinan 250100;China |
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| Abstract: | A sufficient condition is obtained for the uniqueness and global asymptotic stability of the equilibrium point for a class of neural networks with constant time delay by using Lyapunov functionals and combining with matrix inequality technique.The condition contains and improves some of the previous results in the literature. |
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| Keywords: | Lyapunov functionals matrix inequality global asymptotic stability delayed cellular neural networks |
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