Vandermonde矩阵的Mobius变换

Mobius transformations of Vandermonde matrix

文章给出合流Vandermonde矩阵经Mobius变换得到的一种广义表示,并由此推出了Bezout矩阵的Vandermonde约化。Bezout矩阵的Vandermonde约化保持了惯性不变性,在系统控制理论中对系统的稳定性有重要的应用。

In this paper, a generalized expression of confluent Vandermonde matrix via Mobius transformations is obtained. And the Vandermonde reduction of Bezout matrix is developed. Vandermonde reduction of Bezout matrix keeps the invariance of its inertia, which is important to the system＇s stability in the system control theorem.