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Caltech Authors (California Institute of Technology)
Part of book or chapter of book . 2008
Full-Text: https://doi.org/10.1109/CDC.2008.4739100
Data sources: Bielefeld Academic Search Engine (BASE)
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Caltech Authors
Part of book or chapter of book . 2008
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https://doi.org/10.1109/cdc.20...
Article . 2008 . Peer-reviewed
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https://dx.doi.org/10.1109/cdc...
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On the existence of Zeno behavior in hybrid systems with non-isolated Zeno equilibria

descriptionPublicationkeyboard_double_arrow_right Article , Conference object , Part of book or chapter of book 01 Jan 2008 United States Publisher:IEEEJournal:2008 47th IEEE Conference on Decision and Control
Authors: Andrew G. Lamperski; Aaron D. Ames;

doi: 10.1109/cdc.2008.4739100

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

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.

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United States
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330, 510

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    Impact byBIP!
    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).
    		 15
    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.
    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Top 10%
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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!
15
Average
Top 10%
Top 10%
Green