The Kalman-Yakubovich-Popov lemma in a behavioral framework and polynomial spectral factorization

Robert van der Geest, R.A.B. van der Geest, Harry Trentelman

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    Abstract

    The classical Kalman-Yakubovich-Popov lemma provides a link between dissipativity of a system in state-space form and the solution to a linear matrix inequality. In this paper we derive the KYP lemma for linear systems described by higher-order differential equations. The result is an LMI in terms of the original coefficients in which the dissipativity problem is posed. Subsequently we study the connection between dissipativity and spectral factorization of polynomial matrices. This enables us to derive a new algorithm for polynomial spectral factorization in terms of an LMI in the coefficients of the polynomial matrix
    Original languageUndefined
    Title of host publicationProceedings 36th IEEE Conference on Decision and Control
    Place of PublicationSan Diego, California, U.S.A.
    Pages2578-2583
    Number of pages6
    DOIs
    Publication statusPublished - 10 Dec 1997
    Event36th IEEE Conference on Decision and Control, CDC 1997 - San Diego, United States
    Duration: 10 Dec 199712 Dec 1997
    Conference number: 36

    Conference

    Conference36th IEEE Conference on Decision and Control, CDC 1997
    Abbreviated titleCDC
    CountryUnited States
    CitySan Diego
    Period10/12/9712/12/97

    Keywords

    • IR-61645
    • METIS-141732

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