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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 Neurocomputingarrow_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
Neurocomputing
Article . 2016 . Peer-reviewed
License: Elsevier TDM
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https://dx.doi.org/10.1016/j.n...
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Finite-time stability and finite-time boundedness of fractional order linear systems

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2016 English Publisher:Elsevier BVJournal:Neurocomputing, volume 173, pages 2,076-2,082 (issn: 0925-2312, Copyright policy )
Authors: Yajing Ma; Baowei Wu; Yue-E Wang;

doi: 10.1016/j.neucom.2015.09.080

Finite-time stability and finite-time boundedness of fractional order linear systems

Abstract

In this paper, the finite-time stability (FTS) and the finite-time boundedness (FTB) for the fractional order linear time invariant (LTI) systems with 0 < α < 1 are studied. First, some conditions to guarantee the FTS and the FTB for a class of fractional order LTI systems are derived by combining a new property for Caputo fractional derivatives, the generalized Gronwall inequality and the Laplace transform. Moreover, based on these conditions, the method for the design of state feedback controllers is presented. Finally, illustrative examples are provided to show the effectiveness of the results.

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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!
73
Top 10%
Top 10%
Top 10%
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