425 citations
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Showing 2010 · math.OCShow all
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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…