Stability Analysis for Hybrid Automata Using Conservative Gains

Romanus Langerak, S. Engell (Editor), H. Guegen (Editor), Jan W. Polderman, T. Krilavicius, J. Zaytoon (Editor)

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    Abstract

    This paper presents a stability analysis approach for a class of hybrid automata. It is assumed that the dynamics in each location of the hybrid automaton is linear and asymptotically stable, and that the guards on the transitions are hyperplanes in the state space. For each pair of ingoing and outgoing transitions in a location a conservative estimate is made of the gain via a Lyapunov function for the dynamics in that location. It is shown how the choice of the Lyapunov function can be optimized to obtain the best possible estimate. The calculated conservative gains are used in defining a so-called gain automaton that forms the basis of an algorithmic criterion for the stability of the hybrid automaton.
    Original languageUndefined
    Pages377-382
    Number of pages6
    Publication statusPublished - 2003
    EventIFAC Conference on Analysis and Design of Hybrid Systems, ADHS 2003 - Saint Malo, France
    Duration: 16 Jun 2003 → 18 Jun 2003

    Conference

    ConferenceIFAC Conference on Analysis and Design of Hybrid Systems, ADHS 2003
    Abbreviated titleADHS
    CountryFrance
    CitySaint Malo
    Period16/06/03 → 18/06/03

    Keywords

    • IR-66637
    • EWI-8240

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      Cite this

      Langerak, R., Engell, S. (Ed.), Guegen, H. (Ed.), Polderman, J. W., Krilavicius, T., & Zaytoon, J. (Ed.) (2003). Stability Analysis for Hybrid Automata Using Conservative Gains. 377-382. Paper presented at IFAC Conference on Analysis and Design of Hybrid Systems, ADHS 2003, Saint Malo, France.