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Cited by 353

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Computational techniques for the verification of hybrid systems

Tomlin, C.J., Mitchell, I., Bayen, A.M., Oishi, M.·2003·Proceedings of the IEEE

Abstract

Hybrid system theory lies at the intersection of the fields of engineering control theory and computer science verification. It is defined as the modeling, analysis, and control of systems that involve the interaction of both discrete state systems, represented by finite automata, and continuous state dynamics, represented by differential equations. The embedded autopilot of a modern commercial jet is a prime example of a hybrid system: the autopilot modes correspond to the application of different control laws, and the logic of mode switching is determined by the continuous state dynamics of the aircraft, as well as through interaction with the pilot. To understand the behavior of hybrid systems, to simulate, and to control these systems, theoretical advances, analyses, and numerical tools are needed. In this paper, we first present a general model for a hybrid system along with an overview of methods for verifying continuous and hybrid systems. We describe a particular verification technique for hybrid systems, based on two-person zero-sum game theory for automata and continuous dynamical systems. We then outline a numerical implementation of this technique using level set methods, and we demonstrate its use in the design and analysis of aircraft collision avoidance protocols and in verification of autopilot logic.

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Metadata

Authors
Tomlin, C. J., Mitchell, I., Bayen, A. M., & Oishi, M.
Venue
Proceedings of the IEEE
Published
2003-07
Volume
91
Issue
7
Pages
986-1001
ISSN
0018-9219 (ISSN-L)
OpenAlex
W2099354898
Cited by
353
References
43
FWCI
14.57
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Computational techniques for the verification of hybrid systems. https://app.cochat.ai/papers/10.1109/jproc.2003.814621
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Tomlin, C. J., Mitchell, I., Bayen, A. M., & Oishi, M. (2003). Computational techniques for the verification of hybrid systems. Proceedings of the IEEE. https://doi.org/10.1109/jproc.2003.814621

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