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Linear phase-portrait approximations for nonlinear hybrid systems

Part of the Lecture Notes in Computer Science book series (LNCS,volume 1066)

Abstract

We use linear hybrid automata to define linear approximations of the phase portraits of nonlinear hybrid systems. The approximating automata can be analyzed automatically using the symbolic model checker HyTech. We demonstrate the technique through the study of predator-prey systems, where we compute population bounds for both species. We also identify a class of nonlinear hybrid automata for which linear phase-portrait approximations can be generated automatically.

Keywords

  • Phase Portrait
  • Jump Condition
  • Predator Population
  • Rate Translation
  • Hybrid Automaton

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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 grants CCR-9200794 and CCR-9504469, by the AFOSR contract F49620-93-1-0056, and by the ARPA grant NAG2-892.

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© 1996 Springer-Verlag Berlin Heidelberg

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Henzinger, T.A., Wong-Toi, H. (1996). Linear phase-portrait approximations for nonlinear hybrid systems. In: Alur, R., Henzinger, T.A., Sontag, E.D. (eds) Hybrid Systems III. HS 1995. Lecture Notes in Computer Science, vol 1066. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0020961

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  • DOI: https://doi.org/10.1007/BFb0020961

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  • Print ISBN: 978-3-540-61155-4

  • Online ISBN: 978-3-540-68334-6

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