Brunovskyʹs canonical form for linear dynamical systems over commutative rings Original Research Article

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 ∑ = (F, G) over R that are feedback equivalent to a system ∑c = (Fc, Gc) with Brunovskyʹs canonical form. This characterization is obtained in terms of the minors of the matrices image.