The DOI matches its Crossref record; 43 of the 43 references it cites were found in a registry or an index.
Computational techniques for the verification of hybrid systems
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.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Theory of games and economic behavior
(2019) · 100 Years of Math Milestones · doi:10.1090/mbk/121/32 · Cited by 16,632
Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
Osher, S., & Sethian, J. A. (1988) · Journal of Computational Physics · doi:10.1016/0021-9991(88)90002-2 · Cited by 14,062
Alur, R., & Dill, D. L. (1994) · Theoretical Computer Science · doi:10.1016/0304-3975(94)90010-8 · Cited by 6,689
Level Set Methods and Dynamic Implicit Surfaces
Osher, S., & Fedkiw, R. (2003) · Applied Mathematical Sciences · doi:10.1007/b98879 · Cited by 4,951
Efficient implementation of essentially non-oscillatory shock-capturing schemes
Shu, C.-W., & Osher, S. (1988) · Journal of Computational Physics · doi:10.1016/0021-9991(88)90177-5 · Cited by 4,886
Efficient implementation of essentially non-oscillatory shock-capturing schemes, II
Shu, C.-W., & Osher, S. (1989) · Journal of Computational Physics · doi:10.1016/0021-9991(89)90222-2 · Cited by 4,851
Theory of Games and Economic Behavior
N., E., von Neumann, J., & Morgenstern, O. (1945) · The Journal of Philosophy · doi:10.2307/2019327 · Cited by 4,006
Holzmann, G. J. (1997) · IEEE Transactions on Software Engineering · doi:10.1109/32.588521 · Cited by 3,803
(2010) · AIAA Journal · doi:10.2514/152157 · Cited by 3,801
Level Set Methods and Fast Marching Methods
Sethian, J. A. (1999) · Medical Entomology and Zoology · Cited by 3,616
Cited by
Zio, E. (2018) · Reliability Engineering & System Safety · doi:10.1016/j.ress.2018.04.020 · Cited by 401
Cooperative Collision Avoidance at Intersections: Algorithms and Experiments
Hafner, M. R., Cunningham, D., Caminiti, L., & Del Vecchio, D. (2013) · IEEE Transactions on Intelligent Transportation Systems · doi:10.1109/tits.2013.2252901 · Cited by 301
Governing AI safety through independent audits
Falco, G., Shneiderman, B., Badger, J., Carrier, R., Dahbura, A., Danks, D., Eling, M., Goodloe, A., Gupta, J., Hart, C., et al. (2021) · Nature Machine Intelligence · doi:10.1038/s42256-021-00370-7 · Cited by 250
Toward verified artificial intelligence
Seshia, S. A., Sadigh, D., & Sastry, S. S. (2022) · Communications of the ACM · doi:10.1145/3503914 · Cited by 215
Towards Verified Artificial Intelligence
Seshia, S. A., Sadigh, D., & Sastry, S. S. (2016) · arXiv · doi:10.48550/arxiv.1606.08514 · Cited by 142
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
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Computational techniques for the verification of hybrid systems. https://app.cochat.ai/papers/10.1109/jproc.2003.814621
- The paper
- 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
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.