Perturbed timed automata

  • Authors:
  • Rajeev Alur;Salvatore La Torre;P. Madhusudan

  • Affiliations:
  • University of Pennsylvania;Università degli Studi di Salerno;University of Illinois at Urbana-Champaign

  • Venue:
  • HSCC'05 Proceedings of the 8th international conference on Hybrid Systems: computation and control
  • Year:
  • 2005

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Abstract

We consider timed automata whose clocks are imperfect. For a given perturbation error 0εperturbed language of a timed automaton is obtained by letting its clocks change at a rate within the interval [1−ε,1+ε]. We show that the perturbed language of a timed automaton with a single clock can be captured by a deterministic timed automaton. This leads to a decision procedure for the language inclusion problem for systems modeled as products of 1-clock automata with imperfect clocks. We also prove that determinization and decidability of language inclusion are not possible for multi-clock automata, even with perturbation.