引用本文:开平安,徐晖.利用矩阵变换求n个多项式的最大公因式及判断复常系数线性系统的稳定性[J].控制理论与应用,1988,5(3):65~76.[点击复制]
Kai Pingan,Xu Hui.Calculating Greatest Common Divisor of n Polynomials and Judging Stability of Linear System with Constant Complex Coefficients Through Matrix Transformation[J].Control Theory and Technology,1988,5(3):65~76.[点击复制]
利用矩阵变换求n个多项式的最大公因式及判断复常系数线性系统的稳定性
Calculating Greatest Common Divisor of n Polynomials and Judging Stability of Linear System with Constant Complex Coefficients Through Matrix Transformation
摘要点击 1096  全文点击 558  投稿时间:1987-08-26  修订日期:1988-01-13
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DOI编号  
  1988,5(3):65-76
中文关键词  
英文关键词  
基金项目  
作者单位
开平安,徐晖 中国科学院能源研究所 
中文摘要
      本文给出通过矩阵变换的方法求n个多项式最大公因式以及判断复常系数线性系统的稳定性判据,这些算法是很简单的,改进了传统的欧几里德算法和胡维茨算法。
英文摘要
      This paper gives a new method for calculating greatest common divisor of many polynomials, and a stability criterion for linear system with constant complex coefficients through matrix transformation. The methods are very simple and easy, they improve Euclid and Hurwitz algorithms.