The sub-optimal Hankel norm approximation problem for the Wiener class

Orest V. Iftime, Amol J. Sasane

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

    5 Downloads (Pure)

    Abstract

    The sub-optimal Hankel norm approximation problems have been studied extensively in the literature and we have nothing to add in this direction. The new contribution of this paper is to present an elementary derivation of the reduction of the sub-optimal Hankel norm approximation problem to a J−spectral factorization problem. We do this for the Wiener class of matrix-valued functions. The solution of this J−spectral factorization problem can then be obtained solving two equations involving projection operators, hence obtaining an explicit parameterization of all solutions to the sub-optimal Hankel norm approximation problem.
    Original languageEnglish
    Title of host publication21st Benelux Meeting on Systems and Control, March 19 – 21, 2002, Veldhoven, The Netherlands
    Subtitle of host publicationBook of Abstracts
    EditorsBram de Jager, Hans Zwart
    Place of PublicationEindhoven
    PublisherTechnische Universiteit Eindhoven
    Pages100-100
    Number of pages1
    ISBN (Print)90-386-2893-5
    Publication statusPublished - 2002
    Event21st Benelux Meeting on Systems and Control 2002 - Veldhoven, Netherlands
    Duration: 19 Mar 200221 Mar 2002
    Conference number: 21

    Conference

    Conference21st Benelux Meeting on Systems and Control 2002
    CountryNetherlands
    CityVeldhoven
    Period19/03/0221/03/02

    Fingerprint Dive into the research topics of 'The sub-optimal Hankel norm approximation problem for the Wiener class'. Together they form a unique fingerprint.

    Cite this