Hybrid automata: An algorithmic approach to the specification and verification of hybrid systems

R. Alur, C. Courcoubetis, T.A. Henzinger, P. Ho, in:, R. Grossman, A. Nerode, A. Ravn, H. Rischel (Eds.), Hybrid Systems, Springer, 1993, pp. 209–229.

Download
No fulltext has been uploaded. References only!

Book Chapter | Published
Author
; ; ;
Book Editor
; ; ;
Series Title
LNCS
Abstract
We introduce the framework of hybrid automata as a model and specification language for hybrid systems. Hybrid automata can be viewed as a generalization of timed automata, in which the behavior of variables is governed in each state by a set of differential equations. We show that many of the examples considered in the workshop can be defined by hybrid automata. While the reachability problem is undecidable even for very restricted classes of hybrid automata, we present two semidecision procedures for verifying safety properties of piecewiselinear hybrid automata, in which all variables change at constant rates. The two procedures are based, respectively, on minimizing and computing fixpoints on generally infinite state spaces. We show that if the procedures terminate, then they give correct answers. We then demonstrate that for many of the typical workshop examples, the procedures do terminate and thus provide an automatic way for verifying their properties.
Publishing Year
Date Published
1993-01-01
Book Title
Hybrid Systems
Acknowledgement
BRA ESPRIT project REACT,National Science Foundation under grant CCR-9200794 , United States Air Force Office of Scientific Research contract F49620-93-1-0056.
Volume
736
Page
209 - 229
IST-REx-ID

Cite this

Alur R, Courcoubetis C, Henzinger TA, Ho P. Hybrid automata: An algorithmic approach to the specification and verification of hybrid systems. In: Grossman R, Nerode A, Ravn A, Rischel H, eds. Hybrid Systems. Vol 736. Springer; 1993:209-229. doi:10.1007/3-540-57318-6_30
Alur, R., Courcoubetis, C., Henzinger, T. A., & Ho, P. (1993). Hybrid automata: An algorithmic approach to the specification and verification of hybrid systems. In R. Grossman, A. Nerode, A. Ravn, & H. Rischel (Eds.), Hybrid Systems (Vol. 736, pp. 209–229). Springer. https://doi.org/10.1007/3-540-57318-6_30
Alur, Rajeev, Costas Courcoubetis, Thomas A Henzinger, and Pei Ho. “Hybrid Automata: An Algorithmic Approach to the Specification and Verification of Hybrid Systems.” In Hybrid Systems, edited by Robert Grossman, Anil Nerode, Anders Ravn, and Hans Rischel, 736:209–29. Springer, 1993. https://doi.org/10.1007/3-540-57318-6_30.
R. Alur, C. Courcoubetis, T. A. Henzinger, and P. Ho, “Hybrid automata: An algorithmic approach to the specification and verification of hybrid systems,” in Hybrid Systems, vol. 736, R. Grossman, A. Nerode, A. Ravn, and H. Rischel, Eds. Springer, 1993, pp. 209–229.
Alur R, Courcoubetis C, Henzinger TA, Ho P. 1993. Hybrid automata: An algorithmic approach to the specification and verification of hybrid systems. Hybrid Systems. , LNCS, vol. 736. 209–229.
Alur, Rajeev, et al. “Hybrid Automata: An Algorithmic Approach to the Specification and Verification of Hybrid Systems.” Hybrid Systems, edited by Robert Grossman et al., vol. 736, Springer, 1993, pp. 209–29, doi:10.1007/3-540-57318-6_30.

Export

Marked Publications

Open Data IST Research Explorer

Search this title in

Google Scholar