Nonlinear inner-outer factorization

A.J. van der Schaft, J.A. Ball

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    Abstract

    It is shown how the method for inner-outer factorization of stable nonlinear state space systems as put forward in van der Schaft (1992) may be extended to the non-invertible case by replacing a Hamilton-Jacobi equation by a dissipation inequality. The construction of the outer factor is based on the factorization of this inequality.
    Original languageEnglish
    Title of host publicationProceedings of 1994 33rd IEEE Conference on Decision and Control
    Place of PublicationPiscataway, NJ
    PublisherIEEE
    Pages2549-2552
    Number of pages4
    ISBN (Print)0-7803-1968-0
    DOIs
    Publication statusPublished - 17 Jan 1994

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