Publicación:
DUBOVITSKII-MILYUTIN FORMALISM APPLIED TO OPTIMAL CONTROL PROBLEMS WITH CONSTRAINTS GIVEN BY THE HEAT EQUATION WITH FINAL DATA

dc.creatorMARKO ANTONIO ROJAS MEDAR
dc.date2010
dc.date.accessioned2025-01-10T14:36:52Z
dc.date.available2025-01-10T14:36:52Z
dc.date.issued2010
dc.description.abstractAN OPTIMAL CONTROL PROBLEM WITH A CONVEX COST FUNCTIONAL SUBJECT TO A (LINEAR) NON-WELL-POSED PROBLEM (DIRICHLET HEAT EQUATION WITH A GIVEN FINAL DATA) IS CONSIDERED. THE CONTROL IS DISTRIBUTED AND A CONVEX CONSTRAINT ON THE CONTROL IS IMPOSED. FOR A GLOBALLY DISTRIBUTED CONTROL AND A CONVEX CONSTRAINT ON THE CONTROL WITH NON-EMPTY INTERIOR, WE DEDUCE FIRST-ORDER NECESSARY (AND SUFFICIENT) OPTIMALITY CONDITIONS USING THE SO-CALLED DUBOVITSKII?MILYUTIN FORMALISM, OBTAINING, IN PARTICULAR, THE EXISTENCE OF THE CORRESPONDING ADJOINT PROBLEM (WHICH IS AGAIN A NON-WELL-POSED PROBLEM). IN OTHER CASES (EITHER EMPTY INTERIOR CONVEX CONSTRAINT ON THE CONTROL OR PARTIALLY DISTRIBUTED CONTROL), WE ARRIVE AT THE OPTIMALITY CONDITIONS BUT ADMITTING THE EXISTENCE OF THE ADJOINT PROBLEM. FINALLY, NUMERICAL RESULTS ARE ALSO PRESENTED APPROXIMATING THE OPTIMALITY CONDITIONS FOR 1D DOMAINS BY FINITE DIFFERENCES IN TIME AND SPACE.
dc.formatapplication/pdf
dc.identifier.doi10.1093/imamci/dnq001
dc.identifier.issn1471-6887
dc.identifier.issn0265-0754
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/8199
dc.languagespa
dc.publisherIMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION
dc.relation.uri10.1093/imamci/dnq001
dc.rightsPUBLICADA
dc.titleDUBOVITSKII-MILYUTIN FORMALISM APPLIED TO OPTIMAL CONTROL PROBLEMS WITH CONSTRAINTS GIVEN BY THE HEAT EQUATION WITH FINAL DATA
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE CIENCIAS BASICAS
ubb.SedeCHILLÁN
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