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    Diagonal Lyapunov–Krasovskii functionals for discrete-time positive systems with delay


    Aleksandrov, Alexander and Mason, Oliver (2014) Diagonal Lyapunov–Krasovskii functionals for discrete-time positive systems with delay. Systems & Control Letters, 63. pp. 63-67. ISSN 0167-6911

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    Abstract

    We consider the existence of diagonal Lyapunov–Krasovskii (L–K) functionals for positive discrete-time systems subject to time-delay. In particular, we show that the existence of a diagonal functional is necessary and sufficient for delay-independent stability of a positive linear time-delay system. We extend this result and provide conditions for the existence of diagonal L–K functionals for classes of nonlinear positive time-delay systems, which are not necessarily order preserving. We also describe sufficient conditions for the existence of common diagonal L–K functionals for switched positive systems subject to time-delay.

    Item Type: Article
    Keywords: Positive systems; Delay; Stability; Diagonal Lyapunov–Krasovskii functional;
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Faculty of Science and Engineering > Research Institutes > Hamilton Institute
    Item ID: 10024
    Identification Number: https://doi.org/10.1016/j.sysconle.2013.10.012
    Depositing User: Oliver Mason
    Date Deposited: 28 Sep 2018 13:12
    Journal or Publication Title: Systems & Control Letters
    Publisher: Elsevier
    Refereed: Yes
    Funders: Higher Education Authority (HEA), St. Petersburg State University, Russian Foundation of Basic Researches (RFBR)
    URI:

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