A class of neutral-type delay differential equations that are effectively retarded

Anton A. Stoorvogel, Sandip Roy, Yan Wan, Ali Saberi

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

    2 Citations (Scopus)
    1 Downloads (Pure)

    Abstract

    We demonstrate that some delay-differential equations of neutral type are, up to basis transformation, equivalent to retarded delay differential equations. In particular, for two classes of neutral delay differential equation models, we use state transformations to show that delayed derivatives can in some cases be expressed in terms of the model’s state. Hence, we obtain conditions when neutral delay differential equations can be transformed into retarded delay differential equations.
    Original languageEnglish
    Title of host publicationProceedings of the 2009 American Control Conference 2009
    Place of PublicationPiscataway, NJ
    PublisherIEEE
    Pages4915-4920
    Number of pages6
    ISBN (Electronic)978-1-4244-4524-0
    ISBN (Print)978-1-4244-4523-3
    DOIs
    Publication statusPublished - 10 Jun 2009
    Event2009 American Control Conference, ACC 2009 - St. Louis, United States
    Duration: 10 Jun 200912 Jun 2009

    Publication series

    NameAmerican Control Conference (ACC)
    PublisherIEEE
    Volume2009
    ISSN (Print)0743-1619
    ISSN (Electronic)2378-5861

    Conference

    Conference2009 American Control Conference, ACC 2009
    Abbreviated titleACC
    CountryUnited States
    CitySt. Louis
    Period10/06/0912/06/09

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