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    A Result on Common Quadratic Lyapunov Functions


    Shorten, Robert N. and Narendra, Kumpati S. and Mason, Oliver (2003) A Result on Common Quadratic Lyapunov Functions. IEEE Transactions on Automatic Control, 48 (1). pp. 110-113. ISSN 0018-9286

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    Abstract

    In this note, we define strong and weak common quadratic Lyapunov functions (CQLFs) for sets of linear time-invariant (LTI) sys- tems. We show that the simultaneous existence of a weak CQLF of a special form, and the nonexistence of a strong CQLF, for a pair of LTI systems, is characterized by easily verifiable algebraic conditions. These conditions are found to play an important role in proving the existence of strong CQLFs for general LTI systems.

    Item Type: Article
    Keywords: quadratic stability; stability theory; switched linear systems;
    Academic Unit: Faculty of Science and Engineering > Research Institutes > Hamilton Institute
    Item ID: 10028
    Identification Number: https://doi.org/10.1109/TAC.2002.806661
    Depositing User: Oliver Mason
    Date Deposited: 28 Sep 2018 14:40
    Journal or Publication Title: IEEE Transactions on Automatic Control
    Publisher: IEEE
    Refereed: Yes
    URI:

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