MURAL - Maynooth University Research Archive Library



    A result on the existence of common quadratic Lyapunov functions for pairs of stable discrete-time LTI systems


    Mason, Oliver and Shorten, Robert N. (2003) A result on the existence of common quadratic Lyapunov functions for pairs of stable discrete-time LTI systems. In: Proceedings of the 2003 American Control Conference, 2003. IEEE, pp. 4471-4475. ISBN 0780378962

    [img]
    Preview
    Download (320kB) | Preview


    Share your research

    Twitter Facebook LinkedIn GooglePlus Email more...



    Add this article to your Mendeley library


    Abstract

    This paper deals with the existence of weak and strong common quadratic Lyapunov functions (CQLFs) for pairs of stable discrete-time linear time-invariant (LTI) systems. The main result of the paper provides a simple characterization of pairs of such systems for which a weak CQLF of a given form exists but for which no strong CQLF exists. An application of this result to second order discrete-time LTI systems is presented.

    Item Type: Book Section
    Keywords: common quadratic Lyapunov functions; discrete-time linear time invariant-systems; second order LTI systems;
    Academic Unit: Faculty of Science and Engineering > Research Institutes > Hamilton Institute
    Item ID: 10159
    Identification Number: https://doi.org/10.1109/ACC.2003.1240545
    Depositing User: Oliver Mason
    Date Deposited: 25 Oct 2018 14:26
    Publisher: IEEE
    Refereed: Yes
    URI:

    Repository Staff Only(login required)

    View Item Item control page

    Downloads

    Downloads per month over past year