A maximum principle for optimal control problems with mixed constraints

• Tipo: Artigo em Revista Científica Internacional
• Data: 2001

Autores

de pinho, mdr (Autor) FEUP; vinter, rb (Autor) Outra; zheng, h (Autor) Outra

Revista

Título: IMA Journal of Mathematical Control and Information

Vol. 18

Páginas: 189-205

ISSN: 0265-0754

Editora: Oxford University Press

Indexação

ISI Web of Knowledge

Scopus - 31 Citações

Outras Informações

ID Authenticus: P-007-9SN

DOI: 10.1093/imamci/18.2.189

Abstract (EN): Necessary conditions in the form of maximum principles are derived for optimal control problems with mixed control and state constraints. Traditionally, necessary conditions for problems with mixed constraints have been proved under hypothesis which include the requirement that the Jacobian of the mixed constraint functional, with respect to the control variable, have full rank. We show that it can be replaced by a weaker 'interiority' hypothesis. This refinement broadens the scope of the optimality conditions, to cover some optimal control problems involving differential algebraic constraints, with index greater than unity.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 17