Game-based Abstraction and Controller Synthesis for Probabilistic Hybrid Systems

Ernst Moritz Hahn, Gethin Norman, David Parker, Björn Wachter, Lijun Zhang

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    Abstract

    We consider a class of hybrid systems that involve random phenomena, in addition to discrete and continuous behaviour. Examples of such systems include wireless sensing and control applications. We propose and compare two abstraction techniques for this class of models, which yield lower and upper bounds on the optimal probability of reaching a particular class of states. We also demonstrate the applicability of these abstraction techniques to the computation of long-run average reward properties and the synthesis of controllers. The first of the two abstractions yields more precise information, while the second is easier to construct. For the latter, we demonstrate how existing solvers for hybrid systems can be leveraged to perform the computation.
    Original languageEnglish
    Title of host publication2011 Eighth International Conference on Quantitative Evaluation of Systems (QEST)
    Publication date2011
    Publication statusPublished - 2011
    Event8th International Conference on Quantitative Evaluation of Systems - Aachen, Germany
    Duration: 5 Sep 20118 Sep 2011
    Conference number: 8
    http://www.qest.org/qest2011/

    Conference

    Conference8th International Conference on Quantitative Evaluation of Systems
    Number8
    CountryGermany
    CityAachen
    Period05/09/201108/09/2011
    Internet address

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