| 引用本文: | 张志涌.HANKEL矩阵的奇异值分析和系统结构及实现的数值算法[J].控制理论与应用,1984,1(2):78~86.[点击复制] |
| Zhang Zhiyong.SINGULAR VALUE ANALYSIS OF THE HANKEL MATRIX AND NUMERICAL ALGORITHMS FOR THE COMPUTATION OF SYSTEM STRUCTURE AND REALIZATION[J].Control Theory and Technology,1984,1(2):78~86.[点击复制] |
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| HANKEL矩阵的奇异值分析和系统结构及实现的数值算法 |
| SINGULAR VALUE ANALYSIS OF THE HANKEL MATRIX AND NUMERICAL ALGORITHMS FOR THE COMPUTATION OF SYSTEM STRUCTURE AND REALIZATION |
| 摘要点击 1313 全文点击 420 投稿时间：1982-12-21 修订日期：1983-05-11 |
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| DOI编号 |
| 1984,1(2):78-86 |
| 中文关键词 |
| 英文关键词 |
| 基金项目 |
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| 中文摘要 |
| 本文通过奇异分解分析了系统结构的定量性质和在数字计算机上计算结构参数及实现时
所遇到的数值问题，并指出了结构定量性质和数值稳定性间的关系。本文给出了由
HANKEL矩阵奇异值分解所得的几个典型最小实现，提出了一个借助奇异值分解由
HANKEL矩阵直接计算结构参数的可靠的数值算法。 |
| 英文摘要 |
| This paper analyses, by using singular value decompositon (SVD), the quantitative properties of the system structure and the numerical problems that are encountered when the structure parameters
and realization are calculated on digital computers. The relation between the quantitative properties and the numerical stability is discussed. Several typical minimal realizations by SVD of the HANKEL matrix are proposed, and a numerical reliable algorithm for the calculation of the system structure parameters directly from the HANKEL matrix is presented. |