A natural transfer function space for linear discrete time-invariant and scale-invariant systems

Daniel Alpay, Mamadou Mboup

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In a previous work, we have defined the scale shift for a discrete-time signal and introduced a family of linear scale-invariant systems in connection with characterautomorphic Hardy spaces. In this paper, we prove a Beurling-Lax theorem for such Hardy spaces of order 2. We also study an interpolation problem in these spaces, as a first step towards a finite dimensional implementation of a scale invariant system. Our approach uses a characterization of character-automorphic Hardy spaces of order 2 in terms of classical de Branges Rovnyak spaces.

Original languageEnglish
Title of host publication2009 International Workshop on Multidimensional (nD) Systems, nDS 2009
DOIs
StatePublished - 18 Nov 2009
Event2009 International Workshop on Multidimensional (nD) Systems, nDS 2009 - Thessaloniki, Greece
Duration: 29 Jun 20091 Jul 2009

Publication series

Name2009 International Workshop on Multidimensional (nD) Systems, nDS 2009

Conference

Conference2009 International Workshop on Multidimensional (nD) Systems, nDS 2009
Country/TerritoryGreece
CityThessaloniki
Period29/06/091/07/09

ASJC Scopus subject areas

  • Control and Systems Engineering

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