| 基于Kernel-SOM的非线性系统辨识及模型运行收敛性分析 |
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| 引用本文： | 於东军, 郑宇杰, 吴小俊, 杨静宇. 基于Kernel-SOM的非线性系统辨识及模型运行收敛性分析[J]. 电子与信息学报, 2008, 30(8): 1928-1931. doi: 10.3724/SP.J.1146.2007.00010 |
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| 作者姓名： | 於东军 郑宇杰 吴小俊 杨静宇 |
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| 作者单位： | 1. 南京理工大学计算机科学与技术学院,南京,210094
2. 江南大学信息工程学院,无锡,214122 |
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| 基金项目： | 国家自然科学基金，江苏省自然科学基金，国家高技术研究发展计划(863计划) |
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| 摘 要： | 该文提出基于核SOM(Kernel-SOM)的非监督非线性系统辨识方法。在辨识误差和系统初始输入误差同时存在的条件下，对Kernel-SOM辨识模型独立运行的收敛性进行了理论分析，并给出了辨识模型运行收敛的定理。数字仿真表明了所述方法的有效性及收敛定理的正确性。
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| 关 键 词： | 核SOM 非线性系统 辨识 收敛性 模式识别 |
| 收稿时间： | 2007-01-05 |
| 修稿时间： | 2007-09-24 |
Kernel-SOM Based Nonlinear System Identification and Model Running Convergence Analysis |
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| Yu Dong-jun, Zhen Yu-jie, Wu Xiao-jun, Yang Jing-yu . Kernel-SOM Based Nonlinear System Identification and Model Running Convergence Analysis[J]. Journal of Electronics & Information Technology, 2008, 30(8): 1928-1931. doi: 10.3724/SP.J.1146.2007.00010 |
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| Authors: | Yu Dong-jun Zhen Yu-jie Wu Xiao-jun Yang Jing-yu |
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| Affiliation: | School of Computer Science and Technology, Nanjing University of Science and Technology, Nanjing 210094, China; School of Information Engineering, Southern Yangtse University, Wuxi 214122, China |
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| Abstract: | A Kernel-SOM based unsupervised nonlinear system identification algorithm is proposed. Analysis of the model running convergence of the proposed algorithm is performed, and the convergence theorem is proofed by considering both identification error and initial input error. Numerical simulation results demonstrate the effectiveness of the proposed identification algorithm and the correctness of the convergence theorem. |
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| Keywords: | Kernel-SOM Nonlinear system Identification Convergence Pattern recognition |
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