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https://hdl.handle.net/1822/57890
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Campo DC | Valor | Idioma |
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dc.contributor.author | Khalil, N. | por |
dc.contributor.author | Lopes, S. O. | por |
dc.date.accessioned | 2019-01-08T09:55:36Z | - |
dc.date.issued | 2019 | - |
dc.identifier.issn | 1877-0533 | por |
dc.identifier.uri | https://hdl.handle.net/1822/57890 | - |
dc.description.abstract | We consider non-autonomous calculus of variations problems with a state constraint represented by a given closed set. We prove that if the interior of the Clarke tangent cone of the state constraint set is non-empty (this is the constraint qualification that we suggest here), then the necessary optimality conditions apply in the normal form. We establish normality results for (weak) local minimizers and global minimizers, employing two different approaches and invoking slightly diverse assumptions. More precisely, for the local minimizers result, the Lagrangian is supposed to be Lipschitz with respect to the state variable, and just lower semicontinuous in its third variable. On the other hand, the approach for the global minimizers result (which is simpler) requires the Lagrangian to be convex wit respect to its third variable, but the Lipschitz constant of the Lagrangian with respect to the state variable might now depend on time. | por |
dc.description.sponsorship | This author was supported by POCI-01-0145-FEDER-006933-SYSTEC, PTDC/EEI-AUT/2933/2014, POCI-01-0145-FEDER-016858 TOCCATTA and POCI-01-0145-FEDER-028247 To Chair - funded by FEDER funds through COMPETE2020 - Programa Operacional Competitividade e Internacionalização (POCI) and by national funds (PIDDAC) through FCT/MCTES which is gratefully acknowledged. Financial support from the Portuguese Foundation for Science and Technology (FCT) in the framework of the Strategic Financing UID/FIS/04650/2013 is also acknowledged. | por |
dc.language.iso | eng | por |
dc.publisher | Springer | por |
dc.relation | info:eu-repo/grantAgreement/FCT/5876/147414/PT | por |
dc.rights | restrictedAccess | por |
dc.subject | Calculus of variations | por |
dc.subject | Constraint qualification | por |
dc.subject | Normality | por |
dc.subject | Optimal control | por |
dc.subject | Neighboring feasible trajectories | por |
dc.title | Normality of necessary optimality conditions for calculus of variations problems with state constraints | por |
dc.type | article | por |
dc.peerreviewed | yes | por |
oaire.citationStartPage | 503 | por |
oaire.citationEndPage | 521 | por |
oaire.citationIssue | 2 | por |
oaire.citationVolume | 27 | por |
dc.identifier.doi | 10.1007/s11228-018-0498-z | por |
dc.subject.fos | Ciências Naturais::Matemáticas | por |
dc.description.publicationversion | info:eu-repo/semantics/publishedVersion | por |
dc.subject.wos | Science & Technology | por |
sdum.journal | Set-Valued and Variational Analysis | por |
Aparece nas coleções: | PHYSICS OF QUANTUM MATERIALS AND BIONANOSTRUCTURES (2018 - ...) |
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nonautonomous_case_Khalil_Lopesaol.pdf Acesso restrito! | 433,99 kB | Adobe PDF | Ver/Abrir |