On nonlinear inner systems and connections with control theory

Mark A. Petersen, Arjan van der Schaft

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    Abstract

    This paper extends some results involving linear inner systems to the nonlinear case. In thsi regard, the arithmetic of nonlinear inner systems is developed further and some new connections with nonlinear spectral and all-pass factorization and control theory are discussed. In particular, explicit formulas for the (state space) realizations of nonlinear inner systems in terms of the components of extremal spectral factors is provided. Relationships between inner systems and process control, geometric control and H-infinity control are also discussed.
    Original languageUndefined
    Title of host publicationProceedings of the 15th IFAC World Congress
    Place of PublicationBarcelona
    PublisherElsevier
    Pages1656-1661
    Number of pages6
    ISBN (Print)978-0-08-044295-2
    Publication statusPublished - 2002
    Event15th IFAC World Congress 2002 - Barcelona, Spain
    Duration: 21 Jul 200226 Jul 2002
    Conference number: 15
    http://folk.ntnu.no/skoge/prost/proceedings/ifac2002/home.htm

    Publication series

    Name
    PublisherElsevier
    Volume15

    Conference

    Conference15th IFAC World Congress 2002
    CountrySpain
    CityBarcelona
    Period21/07/0226/07/02
    Internet address

    Keywords

    • METIS-211007
    • Nonlinear inner systems
    • EWI-16740
    • $H_\infty$ control
    • Process Control
    • IR-69141
    • Spectral factorization
    • Geometric control

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