A study of (A, B) invariant subspaces via polynomial models

Abstract

This paper describes an application of the theory of polynomial models to the study of some natural objects in geometric control theory. In particular, it utilizes the correspondence between factorization of polynomial matrices and invariant subspaces to obtain, by the use of Toeplitz operators, a polynomial characterization of (A, B) invariant subspaces as well as those included in her C. A geometric characterization of feedback irreducibility is rederived.