WHEN IS THE MAXIMUM PRINCIPLE FOR STATE CONSTRAINED PROBLEMS NONDEGENERATE

• Tipo: Artigo em Revista Científica Internacional
• Data: 1994

Autores

Margarida Ferreira (Autor) FEUP; VINTER, RB (Autor) Outra

Revista

Título: Journal of Mathematical Analysis and Applications

Vol. 187

Páginas: 438-467

ISSN: 0022-247X

Editora: Elsevier

Indexação

ISI Web of Knowledge - 33 Citações

Scopus - 49 Citações

Outras Informações

ID Authenticus: P-00K-VS9

DOI: 10.1006/jmaa.1994.1366

Abstract (EN): It is well known that a form of the Pontryagin maximum principle applies to optimal control problems involving a unilateral state constraint. We discuss how the need arises to solve problems of this nature when the left endpoint is fixed and when the initial state lies in the boundary of the state constraint set region. In such cases, previous versions of the maximum principle convey no information, since a trivial choice of multipliers may be made, namely one in which the state constraint multiplier is a unit measure concentrated at the left endtime and all the other multipliers are zero. We prove strengthened forms of the maximum principle applicable to such situations: constraint qualifications are formulated under which multipliers exist, besides the trivial ones. (C) 1994 Academic Press, Inc.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 30