| 小波神经网络逼近能力及Thau 定理推广 |
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| 引用本文： | 李 力,方华京.小波神经网络逼近能力及Thau 定理推广[J].控制与决策,2000,15(5):561-564. |
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| 作者姓名： | 李 力 方华京 |
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| 作者单位： | 华中理工大学控制科学与工程系,武汉,430074 |
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| 基金项目： | 国家自然科学基金项目!(6 97740 14) |
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| 摘 要： | 首先提出神经元数目有限的小波神经网络对一大类Ｌｉｐｓｃｈｉｔｚ函数的逼近能力定理；然后对Ｔｈａｕ定理进行推广，得到几个实用性较强的推广定理；最后通过构造一种基于推广Ｔｈａｕ定理的小波神经网络非线性观测器，展示出该逼近定理的应用前景。
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| 关 键 词： | 小波 神经网络 Thau定理 推广 函数逼近 |
WNNs' Approximate Ability and Improvements of Thau Theorem |
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| Li Li,Fang Huajing.WNNs'' Approximate Ability and Improvements of Thau Theorem[J].Control and Decision,2000,15(5):561-564. |
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| Authors: | Li Li Fang Huajing |
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| Affiliation: | Huazhong University of Science and Technology |
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| Abstract: | A novel approximate theorem of wavelet neural networks is presented at first. Then the well known Thau theorem is improved and some practical extensive theories are got. Finally, based on the extensive Thau theorem, a kind of state observers for nonlinear systems using WNN is constructed. Simulation results show the effectiveness of the WNN approximate theorem. |
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| Keywords: | wavelet neural networks approximate ability improvements of Thau theorem nonlinear observers |
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