Sufficient second-order optimality conditions for convex control constraints
dc.contributor.author | Wachsmuth, Daniel | |
dc.date.accessioned | 2021-12-17T10:05:55Z | |
dc.date.available | 2021-12-17T10:05:55Z | |
dc.date.issued | 2004-10-18 | |
dc.description.abstract | In this article sufficient optimality conditions are established for optimal control problems with pointwise convex control constraints. Here, the control is a function with values in Rn. The constraint is of the form u(x) ā U(x), where U is an set-valued mapping that is assumed to be measurable with convex and closed images. The second-order condition requires coercivity of the Lagrange function on a suitable subspace, which excludes strongly active constraints, together with first-order necessary conditions. It ensures local optimality of a reference function in a Lā-neighborhood. The analysis is done for a model problem namely the optimal distributed control of the instationary Navier-Stokes equations. | en |
dc.identifier.issn | 2197-8085 | |
dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/15525 | |
dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-14298 | |
dc.language.iso | en | en |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
dc.subject.ddc | 510 Mathematik | en |
dc.subject.other | optimal control | en |
dc.subject.other | sufficient second-order conditions | en |
dc.subject.other | strongly active sets | en |
dc.subject.other | convex control constraints | en |
dc.subject.other | measurable set-valued functions | en |
dc.subject.other | Navier-Stokes equations | en |
dc.title | Sufficient second-order optimality conditions for convex control constraints | en |
dc.type | Research Paper | en |
dc.type.version | submittedVersion | en |
tub.accessrights.dnb | free | en |
tub.affiliation | Fak. 2 Mathematik und Naturwissenschaften::Inst. Mathematik | de |
tub.affiliation.faculty | Fak. 2 Mathematik und Naturwissenschaften | de |
tub.affiliation.institute | Inst. Mathematik | de |
tub.publisher.universityorinstitution | Technische UniversitƤt Berlin | en |
tub.series.issuenumber | 2004, 30 | en |
tub.series.name | Preprint-Reihe des Instituts fĆ¼r Mathematik, Technische UniversitƤt Berlin | en |
tub.subject.msc2000 | 49K20 Problems involving partial differential equations | en |
tub.subject.msc2000 | 26E25 Set-valued functions | en |
tub.subject.msc2000 | 49J53 Set-valued and variational analysis | en |
tub.subject.msc2000 | 76D05 Navier-Stokes equations | en |
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