Regularizing for polynomial matrices and its applications

Recently, we have proposed a solution of Diophantine equation, which plays a central role of the stabilizing problem in the design of linear control systems. But the method is limited to the case where the transfer function matrix is strictly proper and the denominator polynomial matrix is column proper. In this note, we proposed a solution of general Diophantine equation which does not exist such limitations. In this extension, we proposed an interactor like polynomial matrix, called a regularizing polynomial matrix.