International Journal of Control, Vol.86, No.1, 54-69, 2013
Parametrising the solutions of the generalised partial realisation problem through an atlas of coordinates
Given a finite nice sequence of matrices L and a positive integer d, the set of generalised partial realisations of L of order d is a stratified smooth manifold. An atlas of coordinate charts for each stratum is provided that locally parametrises it. In particular, the set of all generalised partial realisations of order d of any given nice sequence L will be described.
Keywords:partial realisation;brunovsky indices;reduced form;smooth manifold;atlas of coordinates;parametrisation;93B15;93B29;93C05