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Article
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https://doi.org/10.1109/cdc.20...
Article . 2006 . Peer-reviewed
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DBLP
Conference object
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https://dx.doi.org/10.1109/cdc...
Article
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Lyapunov-based approach for finite time stability and stabilization

descriptionPublicationkeyboard_double_arrow_right Article , Conference object 04 Oct 2006Publisher:IEEEJournal:Proceedings of the 44th IEEE Conference on Decision and Control
Authors: Emmanuel Moulay; Wilfrid Perruquetti;

doi: 10.1109/cdc.2005.1582911

Lyapunov-based approach for finite time stability and stabilization

Abstract

Finite time stability is investigated for continuous system ẋ = f(x) which satisfies uniqueness of solutions in forward time. A necessary and sufficient condition is given for this class of systems using Lyapunov functions. Then, a necessary and sufficient condition is developed for finite time stabilization of class CLk-affine systems involving a class CL0−settling time for the closed-loop system. Finally an explicit feedback control is given using a control Lyapunov function verifying a certain inequality.

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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!
17
Top 10%
Top 10%
Average