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    Diagonal stability of a class of discrete-time positive switched systems with delay


    Aleksandrov, Alexander and Mason, Oliver (2018) Diagonal stability of a class of discrete-time positive switched systems with delay. IET Control Theory and Applications, 12 (6). pp. 812-818. ISSN 1751-8644

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    Abstract

    A class of discrete-time nonlinear positive time-delay switched systems with sectortype nonlinearities is studied. Sufficient conditions for the existence of common and switched diagonal Lyapunov–Krasovskii functionals for this system class are derived; these are expressed as feasibility conditions for systems of linear algebraic inequalities. Corresponding spectral conditions for the existence of common L–K functionals are also described. Furthermore, it is shown that the proposed approaches can be applied to discrete-time models of digital filters and neural networks. Finally, a numerical example is given to illustrate the effectiveness of theoretical results.

    Item Type: Article
    Additional Information: This is the preprint version of the article available at arXiv:1709.10171
    Keywords: Diagonal stability; class; discrete-time; positive; switched; delay;
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Faculty of Science and Engineering > Research Institutes > Hamilton Institute
    Item ID: 13192
    Identification Number: https://doi.org/10.1049/iet-cta.2017.1079
    Depositing User: Oliver Mason
    Date Deposited: 28 Aug 2020 11:44
    Journal or Publication Title: IET Control Theory and Applications
    Publisher: Institution of Engineering and Technology
    Refereed: Yes
    URI:

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