Stability of Zeno Equilibria in Lagrangian Hybrid Systems

Or, Yizhar and Ames, Aaron D. (2008) Stability of Zeno Equilibria in Lagrangian Hybrid Systems. Technical Report. California Institute of Technology, Pasadena, CA. [CaltechCDSTR:2008.002]

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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 modeling mechanical systems undergoing impacts. These conditions for stability are motivated by the sufficient conditions for Zeno behavior in Lagrangian hybrid systems obtained in a previous work. 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.

EPrint Type:	Monograph (Technical Report)
Additional Information:	Y. Or is supported by the Fulbright Postdoctoral Fellowship and the Bikura Postdoctoral Scholarship of the Israeli Science Foundation.
Subjects:	All Records
ID Code:	167
Deposited By:	Yizhar Or
Deposited On:	26 August 2008
Unique Identifier:	CaltechCDSTR:2008.002
Official Persistent URL:	http://resolver.caltech.edu/CaltechCDSTR:2008.002
Official Citation:	Yizhar Or and Aaron Ames, "Stability of Zeno Equilibria in Lagrangian Hybrid Systems", California Inst. of Technology, 2008, Technical report CaltechCDSTR:2008.002
Usage Policy:	You are granted permission for individual, educational, research and non-commercial reproduction, distribution, display and performance of this work in any format.

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