Beyond HyTech: Hybrid systems analysis using interval numerical methods

T.A. Henzinger, B. Horowitz, R. Majumdar, H. Wong Toi, in:, Springer, 2000, pp. 130–144.

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LNCS
Abstract
Since hybrid embedded systems are pervasive and often safety-critical, guarantees about their correct performance are desirable. The hybrid systems model checker HyTech provides such guarantees and has successfully verified some systems. However, HyTech severely restricts the continuous dynamics of the system being analyzed and, therefore, often forces the use of prohibitively expensive discrete and polyhedral abstractions. We have designed a new algorithm, which is capable of directly verifying hybrid systems with general continuous dynamics, such as linear and nonlinear differential equations. The new algorithm conservatively overapproximates the reachable states of a hybrid automaton by using interval numerical methods. Interval numerical methods return sets of points that enclose the true result of numerical computation and, thus, avoid distortions due to the accumulation of round-off errors. We have implemented the new algorithm in a successor tool to HyTech called HyperTech. We consider three examples: a thermostat with delay, a two-tank water system, and an air-traffic collision avoidance protocol. HyperTech enables the direct, fully automatic analysis of these systems, which is also more accurate than the use of polyhedral abstractions.
Publishing Year
Date Published
2000-01-01
Acknowledgement
This research was supported in part by the DARPA (NASA) grant NAG2-1214, the DARPA (Wright-Patterson AFB) grant F33615-C-98-3614, the ARO MURI grant DAAH-04-96-1-0341, and the NSF CAREER award CCR-9501708.
Volume
1790
Page
130 - 144
Conference
HSCC: Hybrid Systems - Computation and Control
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Henzinger TA, Horowitz B, Majumdar R, Wong Toi H. Beyond HyTech: Hybrid systems analysis using interval numerical methods. In: Vol 1790. Springer; 2000:130-144. doi:10.1007/3-540-46430-1_14
Henzinger, T. A., Horowitz, B., Majumdar, R., & Wong Toi, H. (2000). Beyond HyTech: Hybrid systems analysis using interval numerical methods (Vol. 1790, pp. 130–144). Presented at the HSCC: Hybrid Systems - Computation and Control, Springer. https://doi.org/10.1007/3-540-46430-1_14
Henzinger, Thomas A, Benjamin Horowitz, Ritankar Majumdar, and Howard Wong Toi. “Beyond HyTech: Hybrid Systems Analysis Using Interval Numerical Methods,” 1790:130–44. Springer, 2000. https://doi.org/10.1007/3-540-46430-1_14.
T. A. Henzinger, B. Horowitz, R. Majumdar, and H. Wong Toi, “Beyond HyTech: Hybrid systems analysis using interval numerical methods,” presented at the HSCC: Hybrid Systems - Computation and Control, 2000, vol. 1790, pp. 130–144.
Henzinger TA, Horowitz B, Majumdar R, Wong Toi H. 2000. Beyond HyTech: Hybrid systems analysis using interval numerical methods. HSCC: Hybrid Systems - Computation and Control, LNCS, vol. 1790. 130–144.
Henzinger, Thomas A., et al. Beyond HyTech: Hybrid Systems Analysis Using Interval Numerical Methods. Vol. 1790, Springer, 2000, pp. 130–44, doi:10.1007/3-540-46430-1_14.

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