Or, Yizhar and Ames, Aaron D. (2008) Stability of Zeno Equilibria in Lagrangian Hybrid Systems. California Institute of Technology , Pasadena, CA. (Unpublished) http://resolver.caltech.edu/CaltechCDSTR:2008.002
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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.
|Item Type:||Report or Paper (Technical Report)|
|Additional Information:||Y. Or is supported by the Fulbright Postdoctoral Fellowship and the Bikura Postdoctoral Scholarship of the Israeli Science Foundation.|
|Group:||Control and Dynamical Systems Technical Reports|
|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.|
|Deposited By:||Imported from CaltechCDSTR|
|Deposited On:||26 Aug 2008|
|Last Modified:||26 Dec 2012 14:31|
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