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Stability of Zeno equilibria in Lagrangian hybrid systems

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
Related URLs:
URLURL TypeDescription
https://doi.org/10.1109/CDC.2008.4739235DOIArticle
http://resolver.caltech.edu/CaltechAUTHORS:20190204-092954756Related ItemJournal Article
http://resolver.caltech.edu/CaltechCDSTR:2008.002Related ItemTechnical Report
ORCID:
AuthorORCID
Ames, Aaron D.0000-0003-0848-3177
Additional Information:© 2008 IEEE. Y. Or is supported by Fulbright Postdoctoral Fellowship and Bikura Postdoctoral Scholarship of the Israeli Science Foundation.
Funders:
Funding AgencyGrant Number
Fulbright FoundationUNSPECIFIED
Israel Science FoundationUNSPECIFIED
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:03 Oct 2019 20:52

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