Published August 26, 2008
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Stability of Zeno Equilibria in Lagrangian Hybrid Systems
- Creators
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Or, Yizhar
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Ames, Aaron D.
Abstract
This paper presents both necessary and sufficient conditions for the stability of Zeno equilibria in Lagrangian hybrid systems, i.e., hybrid systems modeling mechanical systems undergoing impacts. These conditions for stability are motivated by the sufficient conditions for Zeno behavior in Lagrangian hybrid systems obtained in [11]—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.
Additional Information
Y. Or is supported by the Fulbright Postdoctoral Fellowship and the Bikura Postdoctoral Scholarship of the Israeli Science Foundation.Attached Files
Submitted - stability_amesrev2.pdf
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stability_amesrev2.pdf
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Additional details
- Eprint ID
- 28135
- Resolver ID
- CaltechCDSTR:2008.002
- Fulbright Foundation
- Israel Science Foundation
- Created
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2008-08-26Created from EPrint's datestamp field
- Updated
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2020-03-09Created from EPrint's last_modified field
- Caltech groups
- Control and Dynamical Systems Technical Reports