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Blowing up affine hybrid systems

Ames, Aaron D. and Sastry, Shankar (2004) Blowing up affine hybrid systems. In: 43rd IEEE Conference on Decision and Control. IEEE , Piscataway, NJ, pp. 473-478. ISBN 0-7803-8682-5. https://resolver.caltech.edu/CaltechAUTHORS:20190307-123634418

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Abstract

In this paper we construct the "blow up" of an affine hybrid system H, i.e., a new affine hybrid system Bl(H) in which H is embedded, that does not exhibit Zeno behavior. We show the existence of a bijection ϒ between periodic orbits and equilibrium points of H and Bl(H) that preserves stability; we refer to this property as P-stability equivalence.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1109/CDC.2004.1428675DOIArticle
ORCID:
AuthorORCID
Ames, Aaron D.0000-0003-0848-3177
Additional Information:© 2004 IEEE. This research is supported by the National Science Foundation (NSF award number CCR-0225610).
Funders:
Funding AgencyGrant Number
NSFCCR-0225610
Record Number:CaltechAUTHORS:20190307-123634418
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190307-123634418
Official Citation:A. D. Ames and S. Sastry, "Blowing up affine hybrid systems," 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601), Nassau, 2004, pp. 473-478 Vol.1. doi: 10.1109/CDC.2004.1428675
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:93637
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:07 Mar 2019 20:52
Last Modified:03 Oct 2019 20:56

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