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

Antonie Arij Stoorvogel, Sandip Roy, Yan Wan, Ali Saberi

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    3 Citations (Scopus)
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    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
    Pages (from-to)435-440
    Number of pages6
    JournalIEEE transactions on automatic control
    Volume55
    Issue number2
    DOIs
    Publication statusPublished - Feb 2010

    Keywords

    • Special coordinate basis (SCB)

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