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Is there life after Zeno? Taking executions past the breaking (Zeno) point

Ames, Aaron D. and Zheng, Haiyang and Gregg, Robert D. and Sastry, Shankar (2006) Is there life after Zeno? Taking executions past the breaking (Zeno) point. In: 2006 American Control Conference. IEEE , Piscataway, NJ, pp. 2652-2657. ISBN 1-4244-0209-3. https://resolver.caltech.edu/CaltechAUTHORS:20190306-131542421

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Abstract

Understanding Zeno phenomena plays an important role in understanding hybrid systems. A natural - and intriguing - question to ask is: what happens after a Zeno point? Inspired by the construction of Filippov (1988), we propose a method for extending Zeno executions past a Zeno point for a class of hybrid systems: Lagrangian hybrid systems. We argue that after the Zeno point is reached, the hybrid system should switch to a holonomically constrained dynamical system, where the holonomic constraints are based on the unilateral constraints on the configuration space that originally defined the hybrid system. These principles are substantiated with a series of examples.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1109/ACC.2006.1656623DOIArticle
ORCID:
AuthorORCID
Ames, Aaron D.0000-0003-0848-3177
Gregg, Robert D.0000-0002-0729-2857
Additional Information:© 2006 IEEE. This research is supported by the National Science Foundation (NSF award number CCR-0225610).
Funders:
Funding AgencyGrant Number
NSFCCR-0225610
Record Number:CaltechAUTHORS:20190306-131542421
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190306-131542421
Official Citation:A. D. Ames, Haiyang Zheng, R. D. Gregg and S. Sastry, "Is there life after Zeno? Taking executions past the breaking (Zeno) point," 2006 American Control Conference, Minneapolis, MN, 2006, pp. 6 pp.-. doi: 10.1109/ACC.2006.1656623
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:93598
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:06 Mar 2019 22:49
Last Modified:03 Oct 2019 20:56

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