A New Class of Decidable Hybrid Systems

  • Gerardo Lafferriere
  • George J. Pappas
  • Sergio Yovine
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1569)


One of the most important analysis problems of hybrid systems is the reachability problem. State of the art computational tools perform reachability computation for timed automata, multirate automata, and rectangular automata. In this paper, we extend the decidability frontier for classes of linear hybrid systems, which are introduced as hybrid systems with linear vector fields in each discrete location. This result is achieved by showing that any such hybrid system admits a finite bisimulation, and by providing an algorithm that computes it using decision methods from mathematical logic.


Hybrid System Transition System Linear Vector Discrete Transition Discrete Location 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Gerardo Lafferriere
    • 1
  • George J. Pappas
    • 2
  • Sergio Yovine
    • 3
  1. 1.Department of Mathematical SciencesPortland State UniversityPortland
  2. 2.Department of Electrical Engineering and Computer SciencesUniversity of California at BerkeleyBerkeley
  3. 3.VERIMAGCentre EquationGieresFrance

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