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    Computing Upper-bounds of the Minimum Dwell Time of Linear Switched Systems via Homogeneous Polynomial Lyapunov Functions


    Chesi, D. and Colaneri, P. and Geromel, J.C. and Middleton, R. and Shorten, Robert N. (2010) Computing Upper-bounds of the Minimum Dwell Time of Linear Switched Systems via Homogeneous Polynomial Lyapunov Functions. American Control Conference (ACC), Proceedings, 2010. ISBN 978-1-4244-7426-4 . pp. 2487-2492. ISSN 0743-1619

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    Abstract

    This paper investigates the minimum dwell time for switched linear systems. It is shown that a sequence of upper bounds of the minimum dwell time can be computed by exploiting homogeneous polynomial Lyapunov functions and convex optimization problems based on linear matrix inequalities (LMIs). This sequence is obtained by adopting two possible representations of homogeneous polynomials, one based on Kronecker products, and the other on the square matrix representation (SMR). Some examples illustrate the use and the potentialities of the proposed approach. It is also conjectured that the proposed approach is asymptotically nonconservative, i.e. the exact minimum dwell time is obtained by using homogeneous polynomials with sufficiently large degree.

    Item Type: Article
    Additional Information: ©2010 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE
    Keywords: Lyapunov methods; convex programming; linear matrix inequalities; polynomials; time-varying systems;
    Academic Unit: Faculty of Science and Engineering > Research Institutes > Hamilton Institute
    Item ID: 2243
    Depositing User: Professor Rick Middleton
    Date Deposited: 10 Nov 2010 16:34
    Journal or Publication Title: American Control Conference (ACC), Proceedings, 2010. ISBN 978-1-4244-7426-4
    Publisher: IEEE
    Refereed: Yes
    Funders: Research Grants Council of Hong Kong (Grant HKU711208E), Science Foundation of Ireland (Research Grants 07/PI/I1828 and 07/IN.1/I901), onselho Nacional de Desenvolvimento Cient´ıfico e Tecnologico - CNPq, Brazil
    URI:

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