An integral-type constraint qualification to guarantee nondegeneracy of the maximum principle for optimal control problems with state constraints

• Tipo: Artigo em Revista Científica Internacional
• Data: 2013

Autores

lopes, so (Autor) FEUP; fontes, facc (Autor) FEUP; de pinho, md (Autor) FEUP

Revista

Título: Systems and Control Letters

Vol. 62

Páginas: 686-692

ISSN: 0167-6911

Editora: Elsevier

Indexação

ISI Web of Knowledge - 8 Citações

Scopus - 11 Citações

Classificação Científica

FOS: Ciências da engenharia e tecnologias > Engenharia electrotécnica, electrónica e informática

Outras Informações

ID Authenticus: P-006-8TB

DOI: 10.1016/j.sysconle.2013.05.005

Abstract (EN): For optimal control problems involving ordinary differential equations and functional inequality state constraints, the maximum principle may degenerate, producing no useful information about minimizers. This is known as the degeneracy phenomenon. Several non-degenerate forms of the maximum principle, valid under different constraint qualifications, have been proposed in the literature. In this paper we propose a new constraint qualification under which a nondegenerate maximum principle is validated. In contrast with existing results, our constraint qualification is of an integral type. An advantage of the proposed constraint qualification is that it is verified on a larger class of problems with nonsmooth data and convex velocity sets.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 7