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.
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).
关键词
分式线性变换
拟对合矩阵
稳定性
fractional linear transformation
Quasi-convolution matrix
stability
