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    Diagonal Riccati stability and the Hadamard product


    Aleksandrov, Alexander and Mason, Oliver and Vorob’eva, Anna (2017) Diagonal Riccati stability and the Hadamard product. Linear Algebra and its Applications, 534. pp. 158-173. ISSN 0024-3795

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    Abstract

    We present an extension of a recent characterisation of diagonal Riccati stability and, using this, extend a result of Kraaijevanger on diagonal Lyapunov stability to Riccati stability of time-delay systems. We also describe a class of transformations that preserve the property of being diagonally Riccati stable and apply these two results to provide novel stability results for classes of time-delay systems.

    Item Type: Article
    Keywords: Riccati inequality; Diagonal stability; Time-delay systems;
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Faculty of Science and Engineering > Research Institutes > Hamilton Institute
    Item ID: 11662
    Identification Number: https://doi.org/10.1016/j.laa.2017.08.015
    Depositing User: Oliver Mason
    Date Deposited: 06 Nov 2019 16:41
    Journal or Publication Title: Linear Algebra and its Applications
    Publisher: Elsevier
    Refereed: Yes
    Funders: Russian Foundation for Basic Research, Science Foundation Ireland (SFI), European Regional Development Fund
    URI:

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