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.
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| Additional Information: | © 2007 IEEE. Issue Date: 12-14 Dec. 2007; Date of Current Version: 21 January 2008. | |||||||||
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| DOI: | 10.1109/CDC.2007.4435003 | |||||||||
| 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: | INVALID USER | |||||||||
| Deposited On: | 16 Sep 2010 21:20 | |||||||||
| Last Modified: | 08 Nov 2021 23:55 |
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