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Schur parametrizations and balanced realizations of real discrete-time stable all-pass systems

Abstract : We investigate the parametrization issue for real discrete-time stable all-pass multivariable systems by means of a real tangential Schur algorithm. A recursive construction of balanced realizations is associated with it, that possesses a very good numerical behavior. A chart selection strategy is given which makes use of the real Schur form of the dynamic matrix. Application to rational L2-approximation is considered.
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https://hal-mines-paristech.archives-ouvertes.fr/hal-00504723
Contributor : Magalie Prudon <>
Submitted on : Wednesday, July 21, 2010 - 11:32:07 AM
Last modification on : Thursday, September 24, 2020 - 5:22:33 PM

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  • HAL Id : hal-00504723, version 1

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Martine Olivi, Jean-Paul Marmorat, Bernard Hanson, Ralf L.M. Peeters. Schur parametrizations and balanced realizations of real discrete-time stable all-pass systems. 42nd IEEE Conference on Decision and Control, Dec 2003, Maui, United States. pp.122-126. ⟨hal-00504723⟩

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