On the regularity of optimal controls for a class of problems with state constraints

• Tipo: Artigo em Revista Científica Internacional
• Data: 2006

Autores

Margarida Ferreira (Autor) FEUP

Revista

Título: International Journal of Systems Science

Vol. 37 Nº 8

Páginas: 495-502

ISSN: 0020-7721

Editora: Taylor & Francis

Indexação

ISI Web of Knowledge - 6 Citações

Scopus - 6 Citações

Outras Informações

ID Authenticus: P-004-K4J

DOI: 10.1080/00207720600783801

Abstract (EN): In this paper a class of optimal control problems with state constraints involving a dynamic equation and an integral cost which are respectively affine and quadratic in the control variable is considered. Conditions may be imposed to ensure that control functions associated to normal extremals of such problems are Lipschitz continuous functions. Results concerning the degeneracy of the maximum principle for optimal control problems with state constraints and consequent results on normality are also known. Here, results on regularity and degeneracy are presented. Moreover, we analyse how conditions imposed to get regularity of the control function may also contribute to guarantee that the optimal solution is a normal extremal.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 8