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Article
Discrete Abstractions of Hybrid Systems
Proceedings of the IEEE
  • Rajeev Alur, University of Pennsylvania
  • Thomas A. Henzinger, University of California
  • Gerardo Lafferriere, Portland State University
  • George J Pappas, University of Pennsylvania
Date of this Version
7-1-2000
Document Type
Journal Article
Abstract

A hybrid system is a dynamical system with both discrete and continuous state changes. For analysis purposes, it is often useful to abstract a system in a way that preserves the properties being analyzed while hiding the details that are of no interest. We show that interesting classes of hybrid systems can be abstracted to purely discrete systems while preserving all properties that are definable in temporal logic. The classes that permit discrete abstractions fall into two categories. Either the continuous dynamics must be restricted, as is the case for timed and rectangular hybrid systems, or the discrete dynamics must be restricted, as is the case for o-minimal hybrid systems. In this paper, we survey and unify results from both areas.

DOI
10.1109/5.871304
Copyright/Permission Statement
© 2000 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Keywords
  • abstraction,
  • decidability,
  • hybrid systems,
  • logic,
  • model checking,
  • discrete systems,
  • temporal logic,
  • continuous dynamics,
  • discrete abstractions,
  • discrete systems,
  • o-minimal hybrid systems,
  • rectangular hybrid systems,
  • temporal logic,
  • timed hybrid systems
Citation Information
Rajeev Alur, Thomas A. Henzinger, Gerardo Lafferriere and George J Pappas. "Discrete Abstractions of Hybrid Systems" Proceedings of the IEEE Vol. 88 Iss. 7 (2000) p. 971 - 984
Available at: http://works.bepress.com/george_pappas/251/