An algebraic method to determine the common divisor, poles and transmission zeros of matrix transfer functions
Leang San Shieh, Yuhui Wei, Juan M. Navarro · International Journal of Systems Science · 1978
A purely algebraic method which uses the matrix Routh algorithm and its reverse process of the algorithm is presented to decompose a matrix transfer function into a pair of right co-prime polynomial matrices or left co-primo polynomial matrices. The poles and transmission zeros of the matrix transfer function are determined from a pair of relatively prime polynomial matrices. Also, the common divisor of two matrix polynomials can be obtained by using the matrix Routh algorithm and the matrix Routh array.