The Valuation of Minimal Polynomial Base Matrix of A Class of Rational Matrix Over Complex Number Field

摘要：

The minimal polynomial base matrix of a rational matrix is introduced in this paper. We find the relationship between each order valuation of minimal polynomial base matrix of a class of matrix and the minimal index of the minimal polynomial base. A proof of the valuation of minimal polynomial base matrix of the class of matrix, column full rank rational matrix and row full rank rational matrix, is given in detail. The conclusions would be supplements for the frequency domain theory of linear control system and its applications.

关键词： Irreducible matrix Minimal polynomial base Valuation of rational matrix

作者: Xianan Ren Zhaoxiang Deng Hubiao Zuo Junhui Zhang Pengcheng Lu

作者单位: The State Key Laboratory of Mechanical Transmission,Chongqing University,Chongqing,P.R.China The State Key Laboratory of Vehicle NVH and Safety Technology,China Automotive Engineering Research

会议类型: 国际会议

会议名称: 2011 3rd International Conference on Computer and Network Technology(ICCNT 2011)(2011第三届IEEE计算机与网络技术国际会议)

会议地点: 太原

会议语种:英文

页码: 545-550

在线出版日期: 2011-02-26（万方平台首次上网日期，不代表论文的发表时间）