Parametrising the solutions of the generalised partial realisation problem through an atlas of coordinates
Itziar Baragaña, F. Puerta, Ion Zaballa · International Journal of Control · 2012
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.