HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation

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 :
Complete list of metadata

Contributor : Rapport de Recherche Inria Connect in order to contact the contributor
Submitted on : Wednesday, May 24, 2006 - 2:04:29 PM
Last modification on : Friday, February 4, 2022 - 3:16:10 AM
Long-term archiving on: : Monday, April 5, 2010 - 12:01:41 AM


  • HAL Id : inria-00073914, version 1



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



Record views


Files downloads