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    On the stability of pairwise triangularisable and related switching systems


    Shorten, Robert N. and Ó Cairbre, Fiacre (2001) On the stability of pairwise triangularisable and related switching systems. In: Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148). IEEE, pp. 1882-1883. ISBN 0780364953

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    Abstract

    It was conjectured in Shorten and Cairbre (2000) that, a sufficient condition for the asymptotic stability of a given switching system is that the component systems are asymptotically stable, and a set of non-singular matrices exists such that the matrices are upper triangular (pairwise triangular). In this paper we show that while the general condition of pairwise triangularisability is not sufficient to guarantee asymptotic stability, the ideas developed in the above paper can be extended to prove asymptotic stability of the origin for a related class of switching system.

    Item Type: Book Section
    Keywords: pairwise triangularisable systems; switching systems; sufficient condition; asymptotic stability; nonsingular matrices;
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Item ID: 10097
    Identification Number: https://doi.org/10.1109/ACC.2001.946011
    Depositing User: Dr. Fiacre O Cairbre
    Date Deposited: 15 Oct 2018 15:41
    Publisher: IEEE
    Refereed: Yes
    URI:

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