两种稳定性矩阵类及亚正定阵类的扩张

Two kinds of Stability Matrices and Meta-positive Definite Matrices' Extension

本文给出了两种稳定性矩阵的若干等价命题。得到了这两种稳定性矩阵类是亚正定阵类的某种相似扩张类。讨论了这三种矩阵类的各自 (相合、相似 )扩张是否是饱和的问题。

This paper gives some equivalent propositions of two kinds of stability matices ,proves that the two stability matrires are similitude extension of meta-positive definite matrices. We also discuss whether the (congruent,similitude) extension of these three kinds matrices is saturated.