Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/57890
Título: | Normality of necessary optimality conditions for calculus of variations problems with state constraints |
Autor(es): | Khalil, N. Lopes, S. O. |
Palavras-chave: | Calculus of variations Constraint qualification Normality Optimal control Neighboring feasible trajectories |
Data: | 2019 |
Editora: | Springer |
Revista: | Set-Valued and Variational Analysis |
Resumo(s): | 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. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/57890 |
DOI: | 10.1007/s11228-018-0498-z |
ISSN: | 1877-0533 |
Arbitragem científica: | yes |
Acesso: | Acesso restrito UMinho |
Aparece nas coleções: | PHYSICS OF QUANTUM MATERIALS AND BIONANOSTRUCTURES (2018 - ...) |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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nonautonomous_case_Khalil_Lopesaol.pdf Acesso restrito! | 433,99 kB | Adobe PDF | Ver/Abrir |