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    Diagonal Riccati stability and applications


    Aleksandrov, Alexander and Mason, Oliver (2016) Diagonal Riccati stability and applications. Linear Algebra and its Applications, 492. pp. 38-51. ISSN 0024-3795

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    Abstract

    We consider the question of diagonal Riccati stability for a pair of real matrices. A necessary and sufficient condition for diagonal Riccati stability is derived and applications of this to two distinct cases are presented. We also describe some motivations for this question arising in the theory of generalised Lotka–Volterra systems.

    Item Type: Article
    Keywords: Riccati stability; Time-delay systems; Lotka–Volterra systems;
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Faculty of Science and Engineering > Research Institutes > Hamilton Institute
    Item ID: 10018
    Identification Number: https://doi.org/10.1016/j.laa.2015.11.004
    Depositing User: Oliver Mason
    Date Deposited: 27 Sep 2018 14:38
    Journal or Publication Title: Linear Algebra and its Applications
    Publisher: Elsevier
    Refereed: Yes
    URI:

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