Right Divisors of Numerator Polynomial Matrices and (A,B)-Invariant Subspaces

摘要

In the past few years a number of papers have appeared with the major objective of providing connections between the geometric and the polynomial matrix approaches to linear system theory. In one of these studies, the intimate connection between the concepts of a numerator polynomial matrix appearing in a special matrix fraction description of the transfer function matrix of a linear system sigma (A,B,C) and that of the maximal (A,B)-invariant subspace contained in ker C has been established. This paper has a similar objective and its primary purpose is to further investigate and generalize the above mentioned results.