| 一类中立型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.一类中立型时滞神经网络的全局渐近稳定性[J].计算机工程与应用,2012,48(6):30-32. |
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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 计算机与信息科学系，广西 宜州 546300 2.中南大学 信息科学与工程学院，长沙 410083 3.澳大利亚科廷大学 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（No.60704003）;广西自然科学基金（No.200991265）. |
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| 摘 要： | 讨论了一类带有时滞的中立型神经网络的稳定性问题。通过构造Lyapunov-Krasovskii泛函，利用矩阵Schur补性质研究了此类中立型时滞神经网络模型的全局渐近稳定性，得出基于矩阵特征值的稳定性的充分判据，并给出基于矩阵特征值的时滞Hopfield神经网络全局渐近稳定性的充分条件；数值仿真检验了结果的有效性。
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| 关 键 词： | 时滞神经网络 中立型 Schur补 全局渐近稳定性 |
Global asymptotic stability of a class of neutral neural networks with time delays. |
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| LUO Ricai
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XU Honglei.Global asymptotic stability of a class of neutral neural networks with time delays.[J].Computer Engineering and Applications,2012,48(6):30-32. |
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| Authors: | LUO Ricai XU Honglei |
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| Affiliation: | 1.Department of Mathematics, Hechi University, Yizhou, Guangxi 546300, China 2.School of Information Science and Engineering, Central South University, Changsha 410083, China 3.Department of Mathematics and Statistics, Curtin University, Perth, WA, Australia |
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| Abstract: | This paper discusses the stability problem of a class of neutral neural networks with time delays. By constructing Lyapu- nov-Krasovskii-type functional, and using Schur complement matrix properties, it studies the global asymptotic stability of these kinds of delayed neutral neural networks and obtains sufficient conditions of the asymptotic stability based on matrix eigenvalues. Some suffi- cient conditions, expressed in the form of matrix eigenvalues, of global asymptotic stability for Hopfield neural networks with time delays are obtained as well. The numerical simulations test the validity of the results. |
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| Keywords: | delayed neural networks neutral Schur complement global asymptotic stability |
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