Analytical limitation for time-delayed feedback control in autonomous systems

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dc.contributor.authorHooton, Edward W.
dc.contributor.authorAmann, Andreas
dc.contributor.funderScience Foundation Ireland
dc.date.accessioned2017-09-04T09:02:30Z
dc.date.available2017-09-04T09:02:30Z
dc.date.issued2012
dc.description.abstractWe 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.sponsorshipScience Foundation Ireland (09/SIRG/I1615)en
dc.description.statusPeer revieweden
dc.description.versionPublished Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.articleid154101
dc.identifier.citationHooton, 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.109.154101en
dc.identifier.doi10.1103/PhysRevLett.109.154101
dc.identifier.issn0031-9007
dc.identifier.issued15
dc.identifier.journaltitlePhysical Review Lettersen
dc.identifier.urihttps://hdl.handle.net/10468/4623
dc.identifier.volume109
dc.language.isoenen
dc.publisherAmerican Physical Societyen
dc.relation.urihttps://journals.aps.org/prl/abstract/10.1103/PhysRevLett.109.154101
dc.rights© 2012, American Physical Societyen
dc.subjectSelf controlling feedbacken
dc.subjectControlling chaosen
dc.titleAnalytical limitation for time-delayed feedback control in autonomous systemsen
dc.typeArticle (peer-reviewed)en
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