On optimal control problems with convex control constraints
| dc.contributor.author | Wachsmuth, Daniel | |
| dc.date.accessioned | 2021-12-17T10:06:16Z | |
| dc.date.available | 2021-12-17T10:06:16Z | |
| dc.date.issued | 2005-12-30 | |
| dc.description.abstract | We investigate optimal control problems with vector-valued controls. As model problem serve the optimal distributed control of the instationary Navier-Stokes equations. We study pointwise convex control constraints, which is a constraint of the form u(x,t)?U(x,t) that has to hold on the domain Q. Here, U is an set-valued mapping that is assumed to be measurable with convex and closed images. We establish first-order necessary as well as second-order sufficient optimality conditions. And we prove regularity results for locally optimal controls. | en |
| dc.identifier.issn | 2197-8085 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/15548 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-14321 | |
| 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 | convex control constraints | en |
| dc.subject.other | set-valued mappings | en |
| dc.subject.other | active-set strategy | en |
| dc.subject.other | Navier-Stokes equations | en |
| dc.title | On optimal control problems with 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 Universität Berlin | en |
| tub.series.issuenumber | 2005, 35 | en |
| tub.series.name | Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin | en |
| tub.subject.msc2000 | 49M05 Methods based on necessary conditions | en |
| tub.subject.msc2000 | 26E25 Set-valued functions | en |
| tub.subject.msc2000 | 49K20 Problems involving partial differential equations | en |
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