On Obtaining a Realization of a Polynomial Matrix Description of a System

This note refers to the computation of a statespace realization of a linear dynamical system, starting from a polynomial matrix description of it. Simple procedures are given for obtaining its dynamic matrix (possibly in some canonical or block-companion form) through unimodular transformations, starting from a square diagonal polynomial matrix, obtained as an intermediate step of the overall realization algorithm. © 1992 IEE