A MAXIMUM PRINCIPLE FOR OPTIMAL CONTROL PROBLEMS WITH STATE AND MIXED CONSTRAINTS

• Tipo: Artigo em Revista Científica Internacional
• Data: 2015

Autores

Biswas, MHA (Autor) Outra; Maria do Rosário de Pinho (Autor) FEUP

Revista

Título: ESAIM - Control, Optimisation and Calculus of Variations

Vol. 21

Páginas: 939-957

ISSN: 1292-8119

Editora: EDP Sciences

Indexação

ISI Web of Knowledge - 8 Citações

Scopus - 7 Citações

Outras Informações

ID Authenticus: P-00G-DFC

DOI: 10.1051/cocv/2014047

Abstract (EN): Here we derive a variant of the nonsmooth maximum principle for optimal control problems with both pure state and mixed state and control constraints. Our necessary conditions include a Weierstrass condition together with an Euler adjoint inclusion involving the joint subdifferentials with respect to both state and control, generalizing previous results in [M.d.R. de Pinho, M.M.A. Ferreira, F.A.C.C. Fontes, Unmaximized inclusion necessary conditions for nonconvex constrained optimal control problems. ESAIM: COCV 11 (2005) 614-632]. A notable feature is that our main results are derived combining old techniques with recent results. We use a well known penalization technique for state constrained problem together with an appeal to a recent nonsmooth maximum principle for problems with mixed constraints.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 19