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| 受扰Hopfield神经网络L2增益稳定性分析 | |
| 引用本文： | 叶华文,戴冠中,王 红,罗永红. 受扰Hopfield神经网络L2增益稳定性分析[J]. 控制理论与应用, 2002, 19(4): 611-614 |
| 作者姓名： | 叶华文 戴冠中 王 红 罗永红 |
| 作者单位： | 1. 西北工业大学自动控制系,西安,710072 2. 南开大学数学科学学院,天津,300071 3. 新疆军区弹药试验站导弹室,乌鲁木齐,830002 |
| 基金项目： | 国家自然科学基金 (197710 66)，西北工业大学重点学科建设项目，西安交通大学机械制造系统工程国家重点实验室资助项目 . |
| 摘 要： | 运用研究控制系统有限增益稳定的方法，讨论受扰Hopfield神经网络关于扰动的增益L2稳定，所给条件不但保证受扰网络L2增益稳定，且总能保证网络未受扰时唯一平衡点的存在性和全局渐近稳定性，文中结论还包含从扰动到状态的L2增益估计，它们用网络有关参数明确表达。 |
| 关 键 词： | 受扰Hopfield神经网络 L2增益稳定性分析 全局渐近稳定 人工神经网络 |
| 文章编号： | 1000-8152(2002)04-04-0611 |
| 收稿时间： | 2000-04-10 |
| 修稿时间： | 2000-04-10 |
L-two-gain stability analysis of perturbed Hopfield neural networks |
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| YE Hua-wen,DAI Guan-zhong,WANG Hong and LUO Yong-hong. L-two-gain stability analysis of perturbed Hopfield neural networks[J]. Control Theory & Applications, 2002, 19(4): 611-614 | |
| Authors: | YE Hua-wen DAI Guan-zhong WANG Hong LUO Yong-hong |
| Affiliation: | Department of Automatic Control, Northwestern Polytechnic University, Xi'an 710072,China;Department of Automatic Control, Northwestern Polytechnic University, Xi'an 710072,China;College of Mathematics Science, Nankai University, Tianjin 300071,China;Ammo Experimental Station of Xinjiang Military Area, Wulumuqi 830002,China |
| Abstract: | The gain L 2_stability of perturbed Hopfield neural networks is investigated by using methods of studying finite_gain stability of control systems. Sufficient conditions are provided under which not only L 2_gain stability of perturbed networks but also existence and global asymptotically stability of unique equilibrium of the corresponding unperturbed networks are guaranteed. In addition, the L 2_gain from perturbation to state is estimated, which is formulated by networks'parameters. |
| Keywords: | Hopfield neural networks L 2-gain stability global asymptotically stability |
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