MURAL - Maynooth University Research Archive Library

    Essentially Negative News About Positive Systems

    Zappavigna, A. and Colaneri, P. and Kirkland, S. and Shorten, Robert N. (2012) Essentially Negative News About Positive Systems. Working Paper. Elsevier. (Unpublished)

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    In this paper the discretisation of switched and non-switched linear positive systems using Padé approximations is considered. Padé approximations to the matrix exponential are sometimes used by control engineers for discretising continuous time systems and for control system design. We observe that this method of approximation is not suited for the discretisation of positive dynamic systems, for two key reasons. First, certain types of Lyapunov stability are not, in general, preserved. Secondly, and more seriously, positivity need not be preserved, even when stability is. Finally we present an alternative approximation to the matrix exponential which preserves positivity, and linear and quadratic stability.

    Item Type: Monograph (Working Paper)
    Additional Information: Preprint submitted to Elsevier
    Keywords: Switching positive systems; discretisation; Padé approximation;
    Academic Unit: Faculty of Science and Engineering > Research Institutes > Hamilton Institute
    Item ID: 3761
    Depositing User: Professor Steve Kirkland
    Date Deposited: 19 Jun 2012 15:33
    Publisher: Elsevier
    Refereed: No

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