Kybernetika 30 no. 4, 393-402, 1994

Generalized Bezoutian for a periodic collection of rational matrices

Carmen Coll, Rafael Bru and Vicente Hernández


We introduce the concept of periodic generalized Bezoutians associated with discrete-time linear periodic systems or periodic rational matrices. Given a periodic collection of rational matrices, we characterize the dimension of minimal periodic realizations by means of the rank of the associated periodic generalized Bezoutian matrix.


93B25, 93C55, 93B20, 93B15, 15A15