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On O-Minimal Hybrid Systems

  • Thomas Brihaye
  • Christian Michaux
  • Cédric Rivière
  • Christophe Troestler
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2993)

Abstract

This paper is driven by a general motto: bisimulate a hybrid system by a finite symbolic dynamical system. In the case of o-minimal hybrid systems, the continuous and discrete components can be decoupled, and hence, the problem reduces in building a finite symbolic dynamical system for the continuous dynamics of each location. We show that this can be done for a quite general class of hybrid systems defined on o-minimal structures. In particular, we recover the main result of a paper by Lafferriere G., Pappas G.J. and Sastry S. on o-minimal hybrid systems.

Mathematics Subject Classification: 68Q60, 03C64.

Keywords

Hybrid System Transition System Transition Relation Hybrid Automaton Continuous Dynamic 
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.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Thomas Brihaye
    • 1
  • Christian Michaux
    • 1
  • Cédric Rivière
    • 1
  • Christophe Troestler
    • 1
  1. 1.Institut de MathématiqueUniversité de Mons-HainautMons

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