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An algorithm for the approximative analysis of rectangular automata

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Formal Techniques in Real-Time and Fault-Tolerant Systems (FTRTFT 1998)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1486))

Abstract

Rectangular automata are well suited for approximate modeling of continuous-discrete systems. The exact analysis of these automata is feasible for small examples but can encounter severe numerical problems for even medium-sized systems. This paper presents an analysis algorithm that uses conservative overapproximation to avoid these numerical problems. The algorithm is demonstrated on a simple benchmark system consisting of two connected tanks.

Supported by the German Research Council (DFG) under grant Ko1430/3 in the special program KONDISK (‘Continuous-discrete dynamics of technical systems’).

This research was supported in part by the ONR YIP award N00014-95-1-0520, by the NSF CAREER award CCR-9501708, by the NSF grant CCR-9504469, by the DARPA/NASA grant NAG2-1214, by the ARO MURI grant DAAH-04-96-1-0341, and by the SRC contract 97-DC-324.041.

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Authors and Affiliations

  1. Dept. of Chemical Engineering, University of Dortmund, Germany

    J. Preu\ig

  2. Cadence Berkeley Labs, Berkeley, CA

    H. Wong-Toi

  3. Dept. of EECS, University of California, Berkeley, CA

    S. Kowalewski & T. A. Henzinger

Authors
  1. J. Preu\ig
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  2. S. Kowalewski
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  3. H. Wong-Toi
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  4. T. A. Henzinger
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Editor information

Anders P. Ravn Hans Rischel

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© 1998 Springer-Verlag Berlin Heidelberg

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Preu\ig, J., Kowalewski, S., Wong-Toi, H., Henzinger, T.A. (1998). An algorithm for the approximative analysis of rectangular automata. In: Ravn, A.P., Rischel, H. (eds) Formal Techniques in Real-Time and Fault-Tolerant Systems. FTRTFT 1998. Lecture Notes in Computer Science, vol 1486. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0055350

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  • DOI: https://doi.org/10.1007/BFb0055350

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-65003-4

  • Online ISBN: 978-3-540-49792-9

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