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International Workshop on Hybrid Systems: Computation and Control

HSCC 2006: Hybrid Systems: Computation and Control pp 507–521Cite as

Model Checking of Hybrid Systems: From Reachability Towards Stability

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3927))

Abstract

We call a hybrid system stable if every trajectory inevitably ends up in a given region. Our notion of stability deviates from classical definitions in control theory. In this paper, we present a model checking algorithm for stability in the new sense. The idea of the algorithm is to reduce the stability proof for the whole system to a set of (smaller) proofs for several one-mode systems.

This work was partly supported by the German Research Council (DFG) as part of the Transregional Collaborative Research Center “Automatic Verification and Analysis of Complex Systems” (SFB/TR 14 AVACS). See www.avacs.org for more information.

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Author information

Authors and Affiliations

  1. Max-Planck-Institut für Informatik, Saarbrücken, Germany

    Andreas Podelski & Silke Wagner

Authors
  1. Andreas Podelski
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  2. Silke Wagner
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Editor information

Editors and Affiliations

  1. Center for Control, Dynamical Systems and Computation, University of California, 93106, Santa Barbara, CA, USA

    João P. Hespanha

  2. SRI International, 333 Ravenswood Ave, Menlo Park, CA, USA

    Ashish Tiwari

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© 2006 Springer-Verlag Berlin Heidelberg

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Podelski, A., Wagner, S. (2006). Model Checking of Hybrid Systems: From Reachability Towards Stability. In: Hespanha, J.P., Tiwari, A. (eds) Hybrid Systems: Computation and Control. HSCC 2006. Lecture Notes in Computer Science, vol 3927. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11730637_38

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  • DOI: https://doi.org/10.1007/11730637_38

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-33170-4

  • Online ISBN: 978-3-540-33171-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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