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Lyapunov-Like Conditions for the Existence of Zeno Behavior in Hybrid and Lagrangian Hybrid Systems

Lamperski, Andrew and Ames, Aaron D. (2008) Lyapunov-Like Conditions for the Existence of Zeno Behavior in Hybrid and Lagrangian Hybrid Systems. In: 46th IEEE Conference on Decision and Control. IEEE , pp. 115-120. ISBN 978-1-4244-1497-0 . https://resolver.caltech.edu/CaltechAUTHORS:20100910-155719194

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Abstract

Lyapunov-like conditions that utilize generalizations of energy and barrier functions certifying Zeno behavior near Zeno equilibria are presented. To better illustrate these conditions, we will study them in the context of Lagrangian hybrid systems. Through the observation that Lagrangian hybrid systems with isolated Zeno equilibria must have a one- dimensional configuration space, we utilize our Lyapunov-like conditions to obtain easily verifiable necessary and sufficient conditions for the existence of Zeno behavior in systems of this form.


Item Type:Book Section
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http://dx.doi.org/10.1109/CDC.2007.4435003DOIUNSPECIFIED
http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=4435003PublisherUNSPECIFIED
Additional Information:© 2007 IEEE. Issue Date: 12-14 Dec. 2007; Date of Current Version: 21 January 2008.
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INSPEC Accession Number9886101
Record Number:CaltechAUTHORS:20100910-155719194
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20100910-155719194
Official Citation:Lamperski, A.; Ames, A.D.; , "Lyapunov-Like Conditions for the Existence of Zeno Behavior in Hybrid and Lagrangian Hybrid Systems," Decision and Control, 2007 46th IEEE Conference on , vol., no., pp.115-120, 12-14 Dec. 2007 doi: 10.1109/CDC.2007.4435003 URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4435003&isnumber=4434000
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:19878
Collection:CaltechAUTHORS
Deposited By: Jason Perez
Deposited On:16 Sep 2010 21:20
Last Modified:03 Oct 2019 02:02

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