Stabilization of cycles with stochastic prediction-based and target-oriented control

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dc.contributor.authorBraverman, E.
dc.contributor.authorKelly, Conall
dc.contributor.authorRodkina, A.
dc.contributor.funderNatural Sciences and Engineering Research Council of Canadaen
dc.date.accessioned2021-11-17T12:42:54Z
dc.date.available2021-11-17T12:42:54Z
dc.date.issued2020-09
dc.date.updated2021-11-17T12:35:22Z
dc.description.abstractWe stabilize a prescribed cycle or an equilibrium of a difference equation using pulsed stochastic control. Our technique, inspired by Kolmogorov's law of large numbers, activates a stabilizing effect of stochastic perturbation and allows for stabilization using a much wider range for the control parameter than would be possible in the absence of noise. Our main general result applies to both prediction-based and target-oriented controls. This analysis is the first to make use of the stabilizing effects of noise for prediction-based control; the stochastic version has previously been examined in the literature, but only the destabilizing effect of noise was demonstrated. A stochastic variant of target-oriented control has never been considered, to the best of our knowledge, and we propose a specific form that uses a point equilibrium or one point on a cycle as a target. We illustrate our results numerically on the logistic, Ricker, and Maynard Smith models from population biology.en
dc.description.sponsorshipNatural Sciences and Engineering Research Council of Canada (Research Grant No. RGPIN-2020-03934)en
dc.description.statusPeer revieweden
dc.description.versionPublished Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.articleid093116en
dc.identifier.citationBraverman, E., Kelly, C. and Rodkina, A. (2020) 'Stabilization of cycles with stochastic prediction-based and target-oriented control', Chaos, 30, 093116 (15pp). doi: 10.1063/1.5145304en
dc.identifier.doi10.1063/1.5145304en
dc.identifier.eissn1089-7682
dc.identifier.endpage15en
dc.identifier.issn1054-1500
dc.identifier.journaltitleChaosen
dc.identifier.startpage1en
dc.identifier.urihttps://hdl.handle.net/10468/12225
dc.identifier.volume30en
dc.language.isoenen
dc.publisherAIP Publishingen
dc.rights© 2020, the Authors. Published under license by AIP Publishing.en
dc.subjectRandom difference-equationsen
dc.subjectStabilityen
dc.subjectSynchronizationen
dc.subjectProductsen
dc.subjectSystemsen
dc.subjectChaosen
dc.subjectMapsen
dc.titleStabilization of cycles with stochastic prediction-based and target-oriented controlen
dc.typeArticle (peer-reviewed)en
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