On The Regularity of the Optimal Control for a Class of Problems with State Constraints

• Tipo: Artigo em Livro de Atas de Conferência Internacional
• Data: 2004

Autores

Margarida Ferreira (Autor) FEUP

Ata de Conferência Internacional

Título: Proceedings of Controlo 2004, 6th Portuguese Conference on Automatic Control

Páginas: 642-647

Proceedings of Controlo 2004, 6th Portuguese Conference on Automatic Control

Faro, Portugal, 07 a 09 de Junho de 2004

Outras Informações

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: 6