Investigation of regularity conditions in optimal control problems with geometric mixed constraints

• Tipo: Artigo em Revista Científica Internacional
• Data: 2016

Autores

Arutyunov, AV (Autor) Outra; Yu. Y Karamzin (Autor) Outra; Pereira, FL (Autor) FEUP; Silva, GN (Autor) Outra

Revista

Título: Optimization

Vol. 65

Páginas: 185-206

ISSN: 0233-1934

Editora: Taylor & Francis

Indexação

ISI Web of Knowledge - 4 Citações

Scopus - 7 Citações

Classificação Científica

FOS: Ciências da engenharia e tecnologias

Outras Informações

ID Authenticus: P-00G-6RE

DOI: 10.1080/02331934.2015.1014478

Abstract (EN): We investigate regularity conditions in optimal control problems with mixed constraints of a general geometric type, in which a closed non-convex constraint set appears. A closely related question to this issue concerns the derivation of necessary optimality conditions under some regularity conditions on the constraints. By imposing strong and weak regularity condition on the constraints, we provide necessary optimality conditions in the form of Pontryagin maximum principle for the control problem with mixed constraints. The optimality conditions obtained here turn out to be more general than earlier results even in the case when the constraint set is convex. The proofs of our main results are based on a series of technical lemmas which are gathered in the Appendix.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Notas: In press.

Nº de páginas: 22