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    A unifying framework for the SISO circle criterion and other quadratic stability criteria


    Shorten, Robert N. and Mason, Oliver and Ó Cairbre, Fiacre and Curran, Paul (2004) A unifying framework for the SISO circle criterion and other quadratic stability criteria. International Journal of Control, 77 (1). ISSN 0020-7179

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    Abstract

    We present a result on the existence of a common quadratic Lyapunov function for a pair of stable linear time-invariant systems. We show that this result characterizes, generalizes and provides new perspectives on several well-known stability results.

    Item Type: Article
    Additional Information: Cite as: Robert N. Shorten, Oliver Mason, Fiacre O’Cairbre & Paul Curran (2004) A unifying framework for the SISO circle criterion and other quadratic stability criteria, International Journal of Control, 77:1, 1-8, DOI: 10.1080/00207170310001633321
    Keywords: unifying framework; SISO circle criterion; quadratic stability criteria; quadratic Lyapunov function;
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Item ID: 10089
    Identification Number: https://doi.org/10.1080/00207170310001633321
    Depositing User: Dr. Fiacre O Cairbre
    Date Deposited: 11 Oct 2018 13:25
    Journal or Publication Title: International Journal of Control
    Publisher: Taylor & Francis
    Refereed: Yes
    URI:

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