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.