Autonomicity and the absence of free variables for behaviors over finite rings

Margreta Kuijper, Raquel Pinto, Jan Willem Polderman, Paula Rocha

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    Abstract

    The equivalence between autonomicity and the absence of free variables is a well-known result for linear, shift-invariant and complete behaviors over a field. However, this no longer holds for a behavior that does not satisfy one of those properties. In this paper we consider linear, shift-invariant and complete behaviors over $\mathbb{Z}_{p^r}$ and study under which conditions such behaviors are autonomous and/or have no free variables.
    Original languageEnglish
    Title of host publicationProceedings of the Portuguese Conference on Automatic Control 2006
    Place of PublicationLisbon
    PublisherPortuguese Association of Automatic Control
    Pages-
    Number of pages5
    ISBN (Print)978-972-97025-2-5
    Publication statusPublished - Jul 2006
    Event7th Portuguese Conference on Automatic Control, CONTROLO 2006 - Instituto Superior Técnico, Lisbon, Portugal
    Duration: 11 Jul 200613 Jul 2006
    Conference number: 7

    Conference

    Conference7th Portuguese Conference on Automatic Control, CONTROLO 2006
    Abbreviated titleCONTROLO
    CountryPortugal
    CityLisbon
    Period11/07/0613/07/06

    Keywords

    • Finite ring
    • Autonomicity
    • Free variables

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