On some extension of optimal control theory

• Tipo: Artigo em Revista Científica Internacional
• Data: 2014

Autores

Dmitry Yu. Karamzin (Autor) Outra; Valeriano A de Oliveira (Autor) Outra; Fernando L Pereira (Autor) FEUP; Geraldo N Silva (Autor) Outra

Revista

Título: European Journal of Control

Vol. 20

Páginas: 284-291

ISSN: 0947-3580

Editora: LAVOISIER

Indexação

ISI Web of Knowledge - 16 Citações

Scopus - 21 Citações

Classificação Científica

FOS: Ciências da engenharia e tecnologias

Outras Informações

ID Authenticus: P-00A-0R3

DOI: 10.1016/j.ejcon.2014.09.003

Abstract (EN): Some problems of Calculus of Variations do not have solutions in the class of classic continuous and smooth arcs. This suggests the need of a relaxation or extension of the problem ensuring the existence of a solution in some enlarged class of arcs. This work aims at the development of an extension for a more general optimal control problem with nonlinear control dynamics in which the control function takes values in some closed, but not necessarily bounded, set. To achieve this goal, we exploit the approach of R.V. Gamkrelidze based on the generalized controls, but related to discontinuous arcs. This leads to the notion of generalized impulsive control. The proposed extension links various approaches on the issue of extension found in the literature.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 8