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On the existence of Zeno behavior in hybrid systems with non-isolated Zeno equilibria

Lamperski, Andrew and Ames, Aaron D. (2008) On the existence of Zeno behavior in hybrid systems with non-isolated Zeno equilibria. In: 47th IEEE Conference on Decision and Control. IEEE , Piscataway, NJ, pp. 2776-2781. ISBN 978-1-4244-3124-3. https://resolver.caltech.edu/CaltechAUTHORS:20190301-113954983

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Abstract

This paper presents proof-certificate based sufficient conditions for the existence of Zeno behavior in hybrid systems near non-isolated Zeno equilibria. To establish these conditions, we first prove sufficient conditions for Zeno behavior in a special class of hybrid systems termed first quadrant interval hybrid systems. The proof-certificate sufficient conditions are then obtained through a collection of functions that effectively ¿reduce¿ a general hybrid system to a first quadrant interval hybrid system. This paper concludes with an application of these ideas to Lagrangian hybrid systems, resulting in easily verifiable sufficient conditions for Zeno behavior.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1109/CDC.2008.4739100DOIArticle
ORCID:
AuthorORCID
Ames, Aaron D.0000-0003-0848-3177
Additional Information:© 2008 IEEE.
Record Number:CaltechAUTHORS:20190301-113954983
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190301-113954983
Official Citation:A. Lamperski and A. D. Ames, "On the existence of Zeno behavior in hybrid systems with non-isolated Zeno equilibria," 2008 47th IEEE Conference on Decision and Control, Cancun, 2008, pp. 2776-2781. doi: 10.1109/CDC.2008.4739100
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:93395
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:01 Mar 2019 22:47
Last Modified:03 Oct 2019 20:53

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