Discrete abstractions of hybrid systems

R. Alur, T.A. Henzinger, G. Lafferriere, G. Pappas, Proceedings of the IEEE 88 (2000) 971–984.

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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.
Publishing Year
Date Published
2000-01-01
Journal Title
Proceedings of the IEEE
Volume
88
Issue
7
Page
971 - 984
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Alur R, Henzinger TA, Lafferriere G, Pappas G. Discrete abstractions of hybrid systems. Proceedings of the IEEE. 2000;88(7):971-984. doi:10.1109/5.871304
Alur, R., Henzinger, T. A., Lafferriere, G., & Pappas, G. (2000). Discrete abstractions of hybrid systems. Proceedings of the IEEE, 88(7), 971–984. https://doi.org/10.1109/5.871304
Alur, Rajeev, Thomas A Henzinger, Gerardo Lafferriere, and George Pappas. “Discrete Abstractions of Hybrid Systems.” Proceedings of the IEEE 88, no. 7 (2000): 971–84. https://doi.org/10.1109/5.871304 .
R. Alur, T. A. Henzinger, G. Lafferriere, and G. Pappas, “Discrete abstractions of hybrid systems,” Proceedings of the IEEE, vol. 88, no. 7, pp. 971–984, 2000.
Alur R, Henzinger TA, Lafferriere G, Pappas G. 2000. Discrete abstractions of hybrid systems. Proceedings of the IEEE. 88(7), 971–984.
Alur, Rajeev, et al. “Discrete Abstractions of Hybrid Systems.” Proceedings of the IEEE, vol. 88, no. 7, IEEE, 2000, pp. 971–84, doi:10.1109/5.871304 .

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