Beyond HyTech: Hybrid systems analysis using interval numerical methods Conference Paper

Author(s): Henzinger, Thomas A; Horowitz, Benjamin; Majumdar, Ritankar S; Wong-Toi, Howard
Title: Beyond HyTech: Hybrid systems analysis using interval numerical methods
Title Series: 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.
Conference Title: HSCC: Hybrid Systems - Computation and Control
Volume: 1790
Conference Dates: March 23–25, 2000
Conference Location: Pittsburgh, PA, USA
Publisher: Springer  
Date Published: 2000-01-01
Start Page: 130
End Page: 144
DOI: 10.1007/3-540-46430-1_14
Notes: 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.
Open access: no
IST Austria Authors
  1. Thomas A. Henzinger
    415 Henzinger
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