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    On Pade Approximations and the Preservation of Quadratic Stability for Switched Linear Systems


    Shorten, Robert N. and Corless, M. and Sajja, S. and Solmaz, S. (2010) On Pade Approximations and the Preservation of Quadratic Stability for Switched Linear Systems. International Journal of Control. ISSN 0020-7179 (Unpublished)

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    Abstract

    In this note we consider the stability preserving properties of diagonal Pad´e approximations to the matrix exponential. We show that while diagonal Pad´e approximations preserve quadratic stability when going from continuous-time to discrete-time, the converse is not true. We discuss the implications of this result for discretising switched linear systems. We also show that for continuous-time switched systems which are exponentially stable, but not quadratically stable, a Pad´e approximation may not preserve stability.

    Item Type: Article
    Additional Information: Preprint
    Keywords: Pade Approximations; Quadratic Stability; Switched Linear Systems;
    Academic Unit: Faculty of Science and Engineering > Research Institutes > Hamilton Institute
    Item ID: 2248
    Depositing User: Dr. Robert Shorten
    Date Deposited: 10 Nov 2010 16:38
    Journal or Publication Title: International Journal of Control
    Publisher: Taylor & Francis
    Refereed: No
    URI:

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