BRUNOVSKYS CANONICAL FORM FOR LINEAR DYNAMICAL SYSTEMS OVER COMMUTATIVE RINGS

摘要

This paper is devoted to studying the action of the feedback group on linear dynamical systems over a commutative ring R with unit. We characterize the class of m-input n-dimensional reachable linear dynamical systems Sigma = (F, G) over R that are feedback equivalent to a system Sigma(c) = (F-c, G(c)) with Brunovsky's canonical form. This characterization is obtained in terms of the miners of the matrices (