The singular pencil of a linear dynamical system†
James S. Thorp · International Journal of Control · 1973
Kronecker's theory of singular pencils ia applied to multivariable systems in state-space form. The minimal indices and divisors that characterize the theory are related to the system transfer-function matrix through a new canonical form. A new minimal realization procedure based on the infinite divisors of the pencil is given. The concept- of strictly equivalent pencils is used to provide an alternative solution to a model matching problem.