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    A conjecture on the existence of common quadratic Lyapunov functions for positive linear systems


    Mason, Oliver and Shorten, Robert N. (2003) A conjecture on the existence of common quadratic Lyapunov functions for positive linear systems. In: Proceedings of the 2003 American Control Conference, 2003. IEEE, pp. 4469-4470. ISBN 0780378962

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    Abstract

    We present a conjecture concerning necessary and sufficient conditions for the existence of a common quadratic Lyapunov function (CQLF) for a switched linear system obtained by switching between two positive linear time-invariant (LTI) systems. We conjecture that these conditions are also necessary and sufficient for the exponential stability of such switched linear systems; namely, the existence of a CQLF is a non-conservative stability condition in this case. A number of new results supporting this conjecture are described.

    Item Type: Book Section
    Keywords: common quadratic Lyapunov functions; positive linear systems; switched linear system; linear time-invariant; exponential stability; nonconservative stability condition;
    Academic Unit: Faculty of Science and Engineering > Research Institutes > Hamilton Institute
    Item ID: 10158
    Identification Number: https://doi.org/10.1109/ACC.2003.1240544
    Depositing User: Oliver Mason
    Date Deposited: 25 Oct 2018 14:11
    Publisher: IEEE
    Refereed: Yes
    URI:

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