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    On the simultaneous diagonal stability of a pair of positive linear systems


    Mason, Oliver and Shorten, Robert N. (2006) On the simultaneous diagonal stability of a pair of positive linear systems. Linear Algebra and its Applications, 413 (1). pp. 13-23. ISSN 0024-3795

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    Abstract

    In this paper we derive a necessary and sufficient condition for the existence of a common diagonal quadratic Lyapunov function for a pair of positive linear time-invariant (LTI) systems.
    Item Type: Article
    Keywords: Stability; Positive systems; Switched systems; Diagonal Lyapunov functions; Diagonal stability; Hamilton Institute.
    Academic Unit: Faculty of Science and Engineering > Research Institutes > Hamilton Institute
    Faculty of Science and Engineering > Mathematics and Statistics
    Item ID: 1886
    Identification Number: 10.1016/j.laa.2005.07.019
    Depositing User: Hamilton Editor
    Date Deposited: 15 Mar 2010 12:20
    Journal or Publication Title: Linear Algebra and its Applications
    Publisher: Elsevier
    Refereed: Yes
    Related URLs:
    URI: https://mural.maynoothuniversity.ie/id/eprint/1886
    Use Licence: This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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