Stability criteria for planar linear systems with state reset

Svetlana Polenkova, Jan W. Polderman, Romanus Langerak

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    Abstract

    In this work we perform a stability analysis for a class of switched linear systems, modeled as hybrid automata. We deal with a switched linear planar system, modeled by a hybrid automaton with one discrete state. We assume the guard on the transition is a line in the state space and the reset map is a linear projection onto the x-axis. We define necessary and sufficient conditions for stability of the switched linear system with fixed and arbitrary dynamics in the location.
    Original languageEnglish
    Title of host publicationProceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems - MTNS 2010
    Place of PublicationBudapest
    PublisherEötvös Loránd University
    Pages809-815
    Number of pages7
    ISBN (Print)978-963-311-370-7
    Publication statusPublished - 2010
    Event19th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2010 - Budapest, Hungary
    Duration: 5 Jul 20109 Jul 2010
    Conference number: 19

    Conference

    Conference19th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2010
    Abbreviated titleMTNS
    CountryHungary
    CityBudapest
    Period5/07/109/07/10

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  • Cite this

    Polenkova, S., Polderman, J. W., & Langerak, R. (2010). Stability criteria for planar linear systems with state reset. In Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems - MTNS 2010 (pp. 809-815). Budapest: Eötvös Loránd University.