Skip to Main content Skip to Navigation
New interface
Journal articles

Balanced realizations of discrete-time stable all-pass systems and the tangential Schur algorithm

Abstract : 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 approach involves the tangential Schur algorithm, which employs linear fractional transformations. It stems from the theory of reproducing kernel Hilbert spaces and enables the direct construction of overlapping local parametrizations using Schur parameters and interpolation points. The second approach proceeds in terms of state-space realizations. In the scalar case, a balanced canonical form exists that can also be parametrized by Schur parameters. This canonical form can be constructed recursively, using unitary matrix operations. Here, this procedure is generalized to the multivariable case by establishing the connections with the first approach. It gives rise to balanced realizations and overlapping canonical forms directly in terms of the parameters used in the tangential Schur algorithm.
Document type :
Journal articles
Complete list of metadata

Cited literature [25 references]  Display  Hide  Download
Contributor : Martine Olivi Connect in order to contact the contributor
Submitted on : Tuesday, December 14, 2010 - 5:22:11 PM
Last modification on : Saturday, June 25, 2022 - 11:05:38 PM
Long-term archiving on: : Tuesday, March 15, 2011 - 4:10:04 AM


Files produced by the author(s)




Bernard Hanzon, Martine Olivi, Ralf L.M. Peeters. Balanced realizations of discrete-time stable all-pass systems and the tangential Schur algorithm. Linear Algebra and its Applications, 2006, ⟨10.1016/j.laa.2006.03.027⟩. ⟨inria-00546784⟩



Record views


Files downloads