Hybrid Systems with Finite Bisimulations

Abstract

The theory of formal verification is one of the main approaches to hybrid system analysis. A unified approach to decidability questions for verification algorithms is obtained by the construction of a bisimulation. Bisimulations are finite state quotients whose reachability properties are equivalent to those of the original infinite state hybrid system. This approach has had success in the reachability analysis of timed automata and initialized rectangular automata. In this paper, we use recent results from stratification theory, subanalytic sets, and model theory in order to extend the state-of-the-art results on the existence of bisimulations for certain classes of hybrid systems.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1998
Accession Number
ADA358308

Entities

People

  • G. Lafferriere
  • G. Pappas
  • S. Sastry

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Air Platforms
  • C4I

DTIC Thesaurus Topics

  • Algorithms
  • Analytic Functions
  • Automata
  • Construction
  • Differential Equations
  • Differential Geometry
  • Eigenvalues
  • Exponential Functions
  • Hybrid Systems
  • Language
  • Mathematical Logic
  • Model Theory
  • Models
  • Real Numbers
  • Stratification
  • Two Dimensional
  • Verification

Readers

  • Mathematical Modeling and Probability Theory.