Adjustable solutions of doubly coprime matrix fraction descriptions

Abstract

Using the concept of infinite eigenstructure assignment in generalized systems, explicit formulas for calculating the polynomial generalized Bezout identity is proposed. The degree of the polynomial matrix is directly related to the length of the longest infinite eigenvector chain of the associated generalized state-space representation. Hence the method of infinite eigenstructure assignment can be used to find adjustable-degree solutions of the doubly coprime matrix fraction descriptions.<>