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Subanalytic stratifications and bisimulations

  • Gerardo Laflerriere
  • George J. Pappas
  • Shankar Sastry
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1386)

Abstract

Decidability results for the verification of hybrid systems consist of constructing special finite state quotients called bisimulations whose properties are equivalent to those of the original infinite state system. This approach has had success in the case of timed automata and linear hybrid automata. In this paper, the powerful frameworks of stratification theory and subanalytic sets are presented and used in order to obtain bisimulations of certain analytic vector fields on analytic manifolds.

Keywords

Hybrid System Integral Curve Hybrid Automaton Analytic Manifold Real Analytic Manifold 
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 1998

Authors and Affiliations

  • Gerardo Laflerriere
    • 1
  • George J. Pappas
    • 1
  • Shankar Sastry
    • 2
  1. 1.Department of Mathematical SciencesPortland State UniversityPortland
  2. 2.Department of Electrical Engineering and Computer SciencesUniversity of California at BerkeleyBerkeley

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