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 | ||||||
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| Additional Information: | © 2004 IEEE. This research is supported by the National Science Foundation (NSF award number CCR-0225610). | ||||||
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| DOI: | 10.1109/CDC.2004.1428675 | ||||||
| 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: | 16 Nov 2021 16:59 |
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