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dc.contributor.authorLu, Q.
dc.contributor.authorZuazua, E.
dc.date.accessioned2016-06-13T13:33:51Z
dc.date.available2016-06-13T13:33:51Z
dc.date.issued2014-12-31
dc.identifier.issn1078-0947
dc.identifier.urihttp://hdl.handle.net/20.500.11824/264
dc.description.abstractWe analyze the null controllability for heat equations in the presence of switching controls. The switching pattern is a priori unknown so that the control has to be designed in a robust manner, based only on the past dynamics, so to fulfill the final control requirement, regardless of what the future dynamics is. We prove that such a robust control strategy actually exists when the switching controllers are located on two non trivial open subsets of the domain where the heat process evolves. Our strategy to construct these robust controls is based on earlier works by Lebeau and Robbiano on the null controllability of the heat equation. It is relevant to emphasize that our result is specific to the heat equation as an extension of a property of finite-dimensional systems that we fully characterize but that it may not hold for wave-like equations.
dc.formatapplication/pdf
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.titleRobust null controllability for heat equations with unknown switching control mode
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.3934/dcds.2014.34.4183
dc.relation.publisherversionhttps://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=9810
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/FP7/246775en_US
dc.relation.projectIDES/6PN/MTM2011-29306-C02-01en_US
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/acceptedVersionen_US
dc.journal.titleDiscrete and Continuous Dynamical Systems- Series Aen_US


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