一类分式线性变换确定的多项式空间的线性变换的矩阵  

A Type of Matrix of Linear Transformation in the Polynomial Space,Determined by Fractional Linear Transformation

作　　者：梁燕来[1] 

机构地区：[1]玉林师范学院数学与计算机科学系,副教授广西玉林537000

出　　处：《玉林师范学院学报》2006年第3期2-4,共3页Journal of Yulin Normal University

基　　金：玉林师范学院重点科研课题(2006YJZD07).

摘　　要：首先研究了由形如y=τ(x)=ax+bcx-a的分式线性变换确定的多项式空间Cn[x]的线性变换的矩阵,得到了这类矩阵是拟对合矩阵的结果;然后用其特殊情形,描述了线性时不变系统的Schur稳定与Hurwitz稳定的关系.In this paper, we researched the matrix of linear transformation in the polyno mial spaceCo[x], detemlined by fractional linear transformation with the Form y=τ（χ）=αχ＋b/cχ-a first, a result that the type of matrix is Quasi-convolution matrix was given. Then, with its special case, we described the relationships between Schur-stable and Hurwitz stable of linear time-invariant system.

关 键 词：分式线性变换 拟对合矩阵 稳定性 

分 类 号：O241.3[理学—计算数学]