28 citations · 48 across the 3 of their papers we have counts for
3 papers
math.OC2010★ 10 cited
Nudelman interpolation, parametrizations of lossless functions and balanced realizations
Jean-Paul Marmorat, Martine Olivi
We investigate the parametrization issue for discrete-time stable all-pass multivariable systems by means of a Schur algorithm involving a Nudelman interpolation condition. A recur…
math.OC2010★ 10 cited
Canonical lossless state-space systems: Staircase forms and the Schur algorithm
Ralf L. M. Peeters, Bernard Hanzon, Martine Olivi
A new finite atlas of overlapping balanced canonical forms for multivariate discrete-time lossless systems is presented. The canonical forms have the property that the controllabil…
math.OC2010★ 28 cited
Balanced realizations of discrete-time stable all-pass systems and the tangential Schur algorithm
Bernard Hanzon, Martine Olivi, Ralf L. M. Peeters
In this paper, the connections are investigated between two different approaches towards the parametrization of multivariable stable all-pass systems in discrete-time. The first ap…