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Dynamical properties of hybrid automata
Open accessAbstract
Hybrid automata provide a language for modeling and analyzing digital and analogue computations in real-time systems. Hybrid automata are studied here from a dynamical systems perspective. Necessary and sufficient conditions for existence and uniqueness of solutions are derived and a class of hybrid automata whose solutions depend continuously on the initial state is characterized. The results on existence, uniqueness, and continuity serve as a starting point for stability analysis. Lyapunov's theorem on stability via linearization and LaSalle's invariance principle are generalized to hybrid automata.
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Cites
Differential Equations with Discontinuous Righthand Sides
Filippov, A. F. (1988) · Mathematics and Its Applications · doi:10.1007/978-94-015-7793-9 · Cited by 4,720
Cited by
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Distributed Control of Robotic Networks: A Mathematical Approach to Motion Coordination Algorithms
Bullo, F., Cortés, J., & Martínez, S. (2009) · Princeton University Press eBooks · doi:10.1515/9781400831470 · Cited by 1,509
Self-Triggered Consensus for Multi-Agent Systems With Zeno-Free Triggers
Fan, Y., Liu, L., Feng, G., & Wang, Y. (2015) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2015.2405294 · Cited by 357
Stability of primal–dual gradient dynamics and applications to network optimization
Feijer, D., & Paganini, F. (2010) · Automatica · doi:10.1016/j.automatica.2010.08.011 · Cited by 349
Metadata
- Authors
- Lygeros, J., Johansson, K. H., Simic, S. N., Zhang, J., & Sastry, S. S.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 2003-01
- Volume
- 48
- Issue
- 1
- Pages
- 2-17
- ISSN
- 0018-9286 (ISSN-L)
- 1558-2523
- 2334-3303
- OpenAlex
- W2129231075
- Cited by
- 811
- References
- 1
- FWCI
- 45.16
- Type
- journal article
- Language
- en
- Open access
- green
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- Lygeros, J., Johansson, K. H., Simic, S. N., Zhang, J., & Sastry, S. S. (2003). Dynamical properties of hybrid automata. IEEE Transactions on Automatic Control. https://doi.org/10.1109/tac.2002.806650
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