Abstract
In this paper, the structure of the generalized interactor matrix of the linear multivariable systems is concerned using the properties of the di-column improperness of a polynomial matrix. The gneralized interactor matrix of a transfer matrix T(s) is defined by the polynomial matrix L(s) which satisfies lims→∞L(s)T(s)=K: K is a nonsingular constant matrix where L(s) is not necessarily a lower left triangular matrix.
The purpose of this paper is to discuss the necessary and sufficient condition for the polynomial matrix L(s) to be the generalized interactor matrix of T(s). It turnes out that the property of the minimal di-Γ-matrix which is a constant matrix derived from the numerator polynomial matrix of T(s) decides the structure of the generalized interactor matrix L(s).
