| 引用本文: | 季 策,张化光.多时滞Hopfield神经网络的鲁棒稳定性及吸引域的估计[J].控制理论与应用,2005,22(4):538~542.[点击复制] |
| JI Ce, ZHANG Hua-guang.Robust stability of Hopfield neural networks with multiple time-delay and estimation of the domain of attraction[J].Control Theory and Technology,2005,22(4):538~542.[点击复制] |
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| 多时滞Hopfield神经网络的鲁棒稳定性及吸引域的估计 |
| Robust stability of Hopfield neural networks with multiple time-delay and estimation of the domain of attraction |
| 摘要点击 1114 全文点击 914 投稿时间：2004-02-12 修订日期：2004-08-25 |
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| DOI编号 10.7641/j.issn.1000-8152.2005.4.005 |
| 2005,22(4):538-542 |
| 中文关键词 Hopfield神经网络 多时滞 参数摄动 鲁棒稳定性 吸引域 |
| 英文关键词 Hopfield neural networks multiple time-delay parameter perturbations robust stability domain of attraction |
| 基金项目 国家自然科学基金资助项目(60274017,60325311); 辽宁省自然科学基金资助项目(20022030). |
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| 中文摘要 |
| 通过构造适当的Lyapunov泛函及扇区条件,对一类具有参数摄动的多时滞Hopfield神经网络模型的鲁棒稳定性进行了分析,给出了平衡点渐近稳定的充分条件.利用矩阵范数的定义及性质,得到了一个以范数形式表示的推论,并提供了一种估计网络渐近稳定平衡点吸引域的方法.仿真结果进一步证明了结论的有效性. |
| 英文摘要 |
| Robust stability of a class of Hopfield neural network model with parameter perturbations and multiple time-delay is analyzed by constructing a suitable Lyapunov functional and sector conditions.The sufficient condition for the asymptotic stability of equilibrium point is given.By the definition and properties of matrix norm,a corollary expressed in the form of norm is derived.An estimating method of the domain of attraction for equilibrium point is obtained.The simulation results have proved the effectiveness of the conclusions. |