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    On the Kalman-Yakubovich-Popov lemma and common Lyapunov solutions for matrices with regular inertia


    Mason, Oliver and Shorten, Robert N. and Solmaz, Selim (2007) On the Kalman-Yakubovich-Popov lemma and common Lyapunov solutions for matrices with regular inertia. Linear Algebra and its Applications, 420 (1). pp. 183-197.

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    Abstract

    In this paper we extend the classical Lefschetz version of the Kalman-Yacubovich-Popov (KYP) lemma to the case of matrices with general regular inertia. We then use this result to derive an easily verifiable spectral condition for a pair of matrices with the same regular inertia to have a common Lyapunov solution (CLS), extending a recent result on CLS existence for pairs of Hurwitz matrices.

    Item Type: Article
    Keywords: General Inertia, KYP Lemma, Circle Criterion, Stability, Switched Systems
    Academic Unit: Faculty of Science and Engineering > Research Institutes > Hamilton Institute
    Faculty of Science and Engineering > Mathematics and Statistics
    Item ID: 885
    Depositing User: Selim Solmaz
    Date Deposited: 29 Jan 2008
    Journal or Publication Title: Linear Algebra and its Applications
    Refereed: Yes
    URI:

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