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    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

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    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:
    Use Licence: This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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