On convergence of an instantaneous control type method for parabolic boundary control.
| dc.contributor.author | Tröltzsch, Fredi | |
| dc.contributor.author | Wachsmuth, Daniel | |
| dc.date.accessioned | 2021-12-17T10:05:12Z | |
| dc.date.available | 2021-12-17T10:05:12Z | |
| dc.date.issued | 2002-08-15 | |
| dc.description.abstract | A method of instantaneous control type is considered for a simplified linear-quadratic parabolic boundary control problem with bound constraints on the control. The performance of the method is examined numerically and confirmed by an associated analysis. In particular, the method is shown to converge to a unique fixed point. In the same way, the receding horizon technique is investigated, and a new hybrid method is suggested. | en |
| dc.identifier.issn | 2197-8085 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/15460 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-14233 | |
| 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 boundary control | en |
| dc.subject.other | parabolic equation | en |
| dc.subject.other | control constraints | en |
| dc.subject.other | instantaneous control | en |
| dc.subject.other | receding horizon | en |
| dc.title | On convergence of an instantaneous control type method for parabolic boundary control. | 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 | 2002, 743 | en |
| tub.series.name | Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin | en |
| tub.subject.msc2000 | 49M30 Other methods, not based on necessary conditions | en |
| tub.subject.msc2000 | 49K20 Problems involving partial differential equations | en |