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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. Working Paper. arXiv.

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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: Monograph (Working Paper)
    Additional Information: This work was partially supported by the Russian Foundation for Basic Research, grant no. 16-01-00587 and by Science Foundation Ireland grant 13/RC/2094 and co-funded under the European Regional Development Fund through the Southern & Eastern Regional Operational Programme to Lero - the Irish Software Research Centre (www.lero.ie).
    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: 10021
    Identification Number: arXiv:1612.06587
    Depositing User: Oliver Mason
    Date Deposited: 27 Sep 2018 15:56
    Publisher: arXiv
    Funders: Russian Foundation for Basic Research, Science Foundation Ireland (SFI), European Regional Development Fund
    URI:

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