| 广义Julia 集的参数辨识 |
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| 引用本文： | 孙洁,刘树堂,乔威.广义Julia 集的参数辨识[J].物理学报,2011,60(7):70510-070510. |
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| 作者姓名： | 孙洁 刘树堂 乔威 |
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| 作者单位： | (1)山东大学控制科学与工程学院, 济南 250061; (2)山东大学控制科学与工程学院, 济南 250061;山东大学威海分校机电与信息工程学院, 威海 264209; (3)山东大学威海分校实验室与设备管理处,威海 264209 |
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| 基金项目： | 国家自然科学基金(批准号:60874009,10971120,61074037)和山东省自然科学基金(批准号:ZR2010FM010)资助的课题. |
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| 摘 要： | 本文研究了一类相当广泛的复系统Julia 集的参数辨识问题.基于非线性反馈控制器和差分方程稳定性理论, 设计了普遍适用的自适应同步控制器和参数自适应律的解析表达式.理论证明设计的控制器可使得此类广义复系统Julia 集达到同步,并且可以辨识广义Julia 集的未知参数.通过仿真实例验证了该方法的有效性.另外, 本文特别地讨论了最基本的Julia 集的参数辨识问题.
关键词：
Julia集
参数辨识
同步
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| 关 键 词： | Julia集 参数辨识 同步 |
| 收稿时间： | 2011-01-20 |
Parameter identification of generalized Julia sets |
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| Sun Jie,Liu Shu-Tang and Qiao Wei.Parameter identification of generalized Julia sets[J].Acta Physica Sinica,2011,60(7):70510-070510. |
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| Authors: | Sun Jie Liu Shu-Tang and Qiao Wei |
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| Institution: | School of Control Science and Engineering, Shandong University, Jinan 250061, China;School of Mechanical, Electrical & Information Engineering, Shandong University at Weihai, Weihai 264209, China;School of Control Science and Engineering, Shandong University, Jinan 250061, China;Lab and Equipment Management Office, Shandong University at Weihai, Weihai 264209, China |
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| Abstract: | In this paper, a class of wide range Julia set of parameter identification problem is investigated. Based on the nonlinear feedback controller and the discretized equation theory, the designed generally applicable adaptive synchronization controller and the parameter adaptive law are obtained, and it is proved that the designed controller of generalized Julia set can achieve the synchronization. Moreover, it can identify the unknown parameters of the generalized Julia set. Particularly, the parameter identification of the basic form of Julia set is discussed in the paper. |
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| Keywords: | Julia set synchronization parameter identification |
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