Or, Yizhar and Ames, Aaron D. (2008) Stability of Zeno equilibria in Lagrangian hybrid systems. In: 47th IEEE Conference on Decision and Control. IEEE , Piscataway, NJ, pp. 2770-2775. ISBN 978-1-4244-3124-3. https://resolver.caltech.edu/CaltechAUTHORS:20190226-103320953
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Abstract
This paper presents both necessary and sufficient conditions for the stability of Zeno equilibria in Lagrangian hybrid systems, i.e., hybrid systems that model mechanical systems undergoing impacts. These conditions for stability are motivated by the sufficient conditions for Zeno behavior in Lagrangian hybrid systems obtained in we show that the same conditions that imply the existence of Zeno behavior near Zeno equilibria imply the stability of the Zeno equilibria. This paper, therefore, not only presents conditions for the stability of Zeno equilibria, but directly relates the stability of Zeno equilibria to the existence of Zeno behavior.
| Item Type: | Book Section | ||||||||||||
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| Additional Information: | © 2008 IEEE. Y. Or is supported by Fulbright Postdoctoral Fellowship and Bikura Postdoctoral Scholarship of the Israeli Science Foundation. | ||||||||||||
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| DOI: | 10.1109/CDC.2008.4739235 | ||||||||||||
| Record Number: | CaltechAUTHORS:20190226-103320953 | ||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20190226-103320953 | ||||||||||||
| Official Citation: | Y. Or and A. D. Ames, "Stability of Zeno equilibria in Lagrangian hybrid systems," 2008 47th IEEE Conference on Decision and Control, Cancun, 2008, pp. 2770-2775. doi: 10.1109/CDC.2008.4739235 | ||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
| ID Code: | 93265 | ||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||
| Deposited By: | Tony Diaz | ||||||||||||
| Deposited On: | 26 Feb 2019 18:57 | ||||||||||||
| Last Modified: | 16 Nov 2021 16:56 |
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