Analytical limitation for time-delayed feedback control in autonomous systems

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dc.contributor.author Hooton, Edward W.
dc.contributor.author Amann, Andreas
dc.date.accessioned 2017-09-04T09:02:30Z
dc.date.available 2017-09-04T09:02:30Z
dc.date.issued 2012
dc.identifier.citation Hooton, E. W. and Amann, A. (2012) 'Analytical limitation for time-delayed feedback control in autonomous systems', Physical Review Letters, 109(15), 154101 (5pp). doi: 10.1103/PhysRevLett.109.154101 en
dc.identifier.volume 109
dc.identifier.issued 15
dc.identifier.issn 0031-9007
dc.identifier.uri http://hdl.handle.net/10468/4623
dc.identifier.doi 10.1103/PhysRevLett.109.154101
dc.description.abstract We prove an analytical limitation on the use of time-delayed feedback control for the stabilization of periodic orbits in autonomous systems. This limitation depends on the number of real Floquet multipliers larger than unity, and is therefore similar to the well-known odd number limitation of time-delayed feedback control. Recently, a two-dimensional example has been found, which explicitly demonstrates that the unmodified odd number limitation does not apply in the case of autonomous systems. We show that our limitation correctly predicts the stability boundaries in this case. en
dc.description.sponsorship Science Foundation Ireland (09/SIRG/I1615) en
dc.format.mimetype application/pdf en
dc.language.iso en en
dc.publisher American Physical Society en
dc.relation.uri https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.109.154101
dc.rights © 2012, American Physical Society en
dc.subject Self controlling feedback en
dc.subject Controlling chaos en
dc.title Analytical limitation for time-delayed feedback control in autonomous systems en
dc.type Article (peer-reviewed) en
dc.internal.authorcontactother Andreas Amann, Tyndall National Institute, University College Cork, Cork, Ireland. +353-21-490-3000. Email: a.amann@ucc.ie en
dc.internal.availability Full text available en
dc.description.version Published Version en
dc.internal.wokid WOS:000309590300018
dc.contributor.funder Science Foundation Ireland
dc.description.status Peer reviewed en
dc.identifier.journaltitle Physical Review Letters en
dc.internal.IRISemailaddress a.amann@ucc.ie en
dc.identifier.articleid 154101


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