| 连续正交多项式的分离矩阵 |
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| 引用本文： | 范一平,俞金寿,蒋慰孙.连续正交多项式的分离矩阵[J].华东理工大学学报(自然科学版),1989(2). |
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| 作者姓名： | 范一平 俞金寿 蒋慰孙 |
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| 作者单位： | 华东化工学院自动化研究所
(范一平，俞金寿)，华东化工学院自动化研究所(蒋慰孙) |
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| 摘 要： | 本文定义了一类连续正交多项式的分离矩阵,并给出它的构造定理。此矩阵具有良好的结构和递推关系,十分便于使用数字计算机,在控制领域内有多方面的应用。
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| 关 键 词： | 正交多项式 辨识 最佳控制 分离矩阵 正交展开 |
The Separative Matrices of Continuous Orthogonal Polynomials |
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| Fan Yiping,Yu Jinshou Jiang Weisun.The Separative Matrices of Continuous Orthogonal Polynomials[J].Journal of East China University of Science and Technology,1989(2). |
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| Authors: | Fan Yiping Yu Jinshou Jiang Weisun |
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| Institution: | Research Institute of Automatic Control |
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| Abstract: | In this paper, the separative matrices of continuous orthogonal polynomials are defined, and the constructive theorem for caculating the separative matrices is presented. The separative matrices have an uptriangular structure and elegant recursive formula and have found many applications in the area of automatic control with convenience for computer use. |
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| Keywords: | orthogonal polynomials identification optimal control separative matrices orthogonal expansion |
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