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dc.contributor.authorErvedoza, S.
dc.contributor.authorZuazua, E.
dc.date.accessioned2017-02-21T08:18:17Z
dc.date.available2017-02-21T08:18:17Z
dc.date.issued2010-12-31
dc.identifier.issn1531-3492
dc.identifier.urihttp://hdl.handle.net/20.500.11824/493
dc.description.abstractWe prove a regularity result for an abstract control problem z' = Az + Bv with initial datum z(0) = z0 in which the goal is to determine a control v such that z(T) = 0. Under standard admissibility and observability assumptions on the adjoint system, when A generates a C0 group, we develop a method to compute algorithmically a control function v that inherits the regularity of the initial datum to be controlled. In particular, the controlled equation is satisfied in a strong sense when the initial datum is smooth. In this way, the controlled trajectory is smooth as well. Our method applies mainly to time-reversible infinite-dimensional systems and, in particular, to the wave equation, but fails to be valid in the parabolic frame.
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.subjectControllability
dc.subjectLinear systems
dc.subjectObservability
dc.subjectRegularity of controls
dc.subjectTime-dependent weights
dc.titleA systematic method for building smooth controls for smooth data
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.3934/dcdsb.2010.14.1375
dc.relation.publisherversionhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-78049366781&doi=10.3934%2fdcdsb.2010.14.1375&partnerID=40&md5=3bdceda95b37102d7e27dbef4bc1dcfd
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US
dc.journal.titleDiscrete and Continuous Dynamical Systems - Series Ben_US


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Reconocimiento-NoComercial-CompartirIgual 3.0 España
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