The Generalized Resultant Matrix
A. ROWE · IMA Journal of Applied Mathematics · 1972
The ideas of relative primeness and common divisors of polynomial matrices are of fundamental importance in modern control theory as developed by Rosenbrock. The classical resultant matrix of Sylvester, used to determine whether two polynomials have a common factor, is extended to include polynomial matrices and related results on the order of a linear dynamical system and its associated transfer function matrix are proved.