Skip to Main content Skip to Navigation
Reports

Robust Interpolation and Approximation for ${A(\B})}$ Functions on

Abstract : For the robust $H^\infty$ identification of linear shift-invariant systems from frequency responses, the so-called two-stage algorithms are widely used. If the second step of such algorithms is generally reduced to the resolution of a nonlinear Nehari extension problem, the first stage may lead to specific interpolation or approximation techniques depending on the nature of the available data (density, corruptness, distribution, \ldots). In this paper we present two approximation techniques. In section \ref{RobPolApp}, we study on a subset of the unit circle, the robust polynomial approximation based on a least-deviation problem. In section \ref{secJdlVP}, we generalize Partington's results about robust Jackson and de la Vallée Poussin polynomial approximation, to the case of non-equally spaced points densely distributed on a subset of the unite circle.
Document type :
Reports
Complete list of metadata

https://hal.inria.fr/inria-00073914
Contributor : Rapport de Recherche Inria <>
Submitted on : Wednesday, May 24, 2006 - 2:04:29 PM
Last modification on : Saturday, January 27, 2018 - 1:31:29 AM
Long-term archiving on: : Monday, April 5, 2010 - 12:01:41 AM

Identifiers

  • HAL Id : inria-00073914, version 1

Collections

Citation

Nabil Torkhani. Robust Interpolation and Approximation for ${A(\B})}$ Functions on. RR-2778, INRIA. 1996. ⟨inria-00073914⟩

Share

Metrics

Record views

132

Files downloads

153