MURAL - Maynooth University Research Archive Library



    A Unifying Framework for the Circle Criterion and Other Quadratic Stability Criteria


    Shorten, Robert N. and Mason, Oliver and Ó Cairbre, Fiacre and Curran, P. (2003) A Unifying Framework for the Circle Criterion and Other Quadratic Stability Criteria. In: European Control Conference (ECC), 2003. IEEE, pp. 530-535. ISBN 978-3-9524173-7-9

    [img]
    Preview
    Download (201kB) | Preview


    Share your research

    Twitter Facebook LinkedIn GooglePlus Email more...



    Add this article to your Mendeley library


    Abstract

    We present a result on the existence of a common quadratic Lyapunov function for a pair of linear timeinvariant systems. We show that this result characterises, generalises, and provides new perspectives on several well-known stability results. In particular, new time-domain formulations of the Circle Criterion and Meyer’s extension of the KYP lemma are presented.

    Item Type: Book Section
    Keywords: Switched Linear Systems; Lur’e Systems; Stability; Common quadratic Lyapunov functions; Kalman-Yakubovich-Popov Lemma;
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Faculty of Science and Engineering > Research Institutes > Hamilton Institute
    Item ID: 6233
    Depositing User: Oliver Mason
    Date Deposited: 03 Jul 2015 14:26
    Publisher: IEEE
    Refereed: Yes
    Funders: Enterprise Ireland (EI)
    URI:

      Repository Staff Only(login required)

      View Item Item control page

      Downloads

      Downloads per month over past year