Some further observations on the differentiation method of modal reduction

T. Nigel Lucas

    Research output: Contribution to journalArticlepeer-review

    26 Citations (Scopus)


    The differentiation method of model reduction is shown to be equivalent to forming successive ratios of multipoint Taylor polynomial approximation of the numerator and denominator of the transfer function, respectively. This reformulation allows the method to be applied entirely through a Routh-type array structure. Strong links are seen to exist between the method and other stability preserving methods via this Routh-type structure.
    Original languageEnglish
    Pages (from-to)1389-1391
    Number of pages3
    JournalIEEE Transactions on Automatic Control
    Issue number9
    Publication statusPublished - Sep 1992


    • Approximation theory
    • Differentiation
    • Polynomials
    • Transfer functions


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