Famous Sun Zi Theorem Theorem has given the expression of common solution for the group of co-remained equations under the condition of the module with coprime two by two by two.

In addition, conditions of sufficiency and necessity are given for the exact division and satisfying the relatively prime polynomial.

The author discusses the pole assignment problem of MIMO unity feedbackcontrol system, using the stable coprime factorization of rational function matrices andthe controller parametrization result which guarantees the internal stability of theclosed -loop system.

A two-degree-of freedom internal model control based on coprime factorization for integrating process is proposed.

In this paper, based on the coprime factorization in statespace, the necessary and sufficient condition of sameorder strong stabilization is derived in statespace and a method has been given to design the sameorder strong stabilizing controller.