---
_id: '4513'
abstract:
- lang: eng
  text: 'A hybrid automaton is a formal model for a mixed discrete-continuous system.
    We classify hybrid automata according to what questions about their behavior can
    be answered algorithmically. The classification reveals structure on mixed discrete-continuous
    state spaces that was previously studied on purely discrete state spaces only.
    In particular, various classes of hybrid automata induce finitary trace equivalence
    (or similarity, or bisimilarity) relations on an uncountable state space, thus
    permitting the application of various model-checking techniques that were originally
    developed for finitestate systems. '
acknowledgement: 'This research was supported in part by the Office of Naval Research
  Young Investigator award N00014-95-1-0520, by the National Science Foundation CAREER
  award CCR-9501708, by the National Science Foundation grant CR9504469, by the Air
  Force Office of Scientific Research contract F49620-93-1-0056, by the Army Research
  Office MURI grant DAAH-04-96-1-0341, by the Advanced Research Projects Agency grant
  NAG2-892, and by the Semiconductor Research Corporation contract 96-DC-324.036. '
alternative_title:
- 'NATO ASI Series F: Computer and Systems Sciences'
article_processing_charge: No
author:
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
citation:
  ama: 'Henzinger TA. The theory of hybrid automata. In: Inan M, Kurshan R, eds. <i>Verification
    of Digital and Hybrid Systems</i>. Vol 170. Springer; 2000:265-292. doi:<a href="https://doi.org/10.1007/978-3-642-59615-5">10.1007/978-3-642-59615-5</a>'
  apa: Henzinger, T. A. (2000). The theory of hybrid automata. In M. Inan &#38; R.
    Kurshan (Eds.), <i>Verification of Digital and Hybrid Systems</i> (Vol. 170, pp.
    265–292). Springer. <a href="https://doi.org/10.1007/978-3-642-59615-5">https://doi.org/10.1007/978-3-642-59615-5</a>
  chicago: Henzinger, Thomas A. “The Theory of Hybrid Automata.” In <i>Verification
    of Digital and Hybrid Systems</i>, edited by M. Inan and Robert Kurshan, 170:265–92.
    Springer, 2000. <a href="https://doi.org/10.1007/978-3-642-59615-5">https://doi.org/10.1007/978-3-642-59615-5</a>.
  ieee: T. A. Henzinger, “The theory of hybrid automata,” in <i>Verification of Digital
    and Hybrid Systems</i>, vol. 170, M. Inan and R. Kurshan, Eds. Springer, 2000,
    pp. 265–292.
  ista: 'Henzinger TA. 2000.The theory of hybrid automata. In: Verification of Digital
    and Hybrid Systems. NATO ASI Series F: Computer and Systems Sciences, vol. 170,
    265–292.'
  mla: Henzinger, Thomas A. “The Theory of Hybrid Automata.” <i>Verification of Digital
    and Hybrid Systems</i>, edited by M. Inan and Robert Kurshan, vol. 170, Springer,
    2000, pp. 265–92, doi:<a href="https://doi.org/10.1007/978-3-642-59615-5">10.1007/978-3-642-59615-5</a>.
  short: T.A. Henzinger, in:, M. Inan, R. Kurshan (Eds.), Verification of Digital
    and Hybrid Systems, Springer, 2000, pp. 265–292.
date_created: 2018-12-11T12:09:14Z
date_published: 2000-04-28T00:00:00Z
date_updated: 2023-04-18T12:37:17Z
day: '28'
doi: 10.1007/978-3-642-59615-5
editor:
- first_name: M.
  full_name: Inan, M.
  last_name: Inan
- first_name: Robert
  full_name: Kurshan, Robert
  last_name: Kurshan
extern: '1'
intvolume: '       170'
language:
- iso: eng
month: '04'
oa_version: None
page: 265 - 292
publication: Verification of Digital and Hybrid Systems
publication_identifier:
  isbn:
  - '9783642596155'
publication_status: published
publisher: Springer
publist_id: '216'
quality_controlled: '1'
scopus_import: '1'
status: public
title: The theory of hybrid automata
type: book_chapter
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 170
year: '2000'
...
