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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Caltech Authors (Cal...arrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
https://doi.org/10.1109/acc.20...
Article . 2012 . Peer-reviewed
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Zeno behavior in electromechanical hybrid systems: From theory to experimental validation

Authors: Shishir Nadubettu Yadukumar; Bhargav Kothapalli; Aaron D. Ames;

Zeno behavior in electromechanical hybrid systems: From theory to experimental validation

Abstract

The goal of this paper is to assess the capacity of Zeno phenomena to correctly predict the behavior of real physical systems. We begin by considering electromechanical hybrid systems. Formal conditions are given on when systems of this form display Zeno behavior, in which case the hybrid model is completed to allow for solutions to be carried past the Zeno point. The end result is periods of unconstrained and constrained motion, with transitions to the constrained motion occurring at the Zeno point, i.e., a Zeno periodic orbit. We then consider a double pendulum with a mechanical stop controlled by a DC motor, use these formal methods to predict the existence of a Zeno periodic orbit in simulation, and verify through experimentation that Zeno behavior provides an accurate description of the behavior of the physical system.

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United States
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Keywords

510, 620

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
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