Necessary conditions for constrained problems under Mangasarian-Fromowitz conditions

• Tipo: Artigo em Revista Científica Internacional
• Data: 2008

Autores

Maria do Rosário de Pinho (Autor) FEUP; Javier F. Rosenblueth (Autor) Outra

Revista

Título: SIAM Journal on Control and Optimization

Vol. 47 Nº 1

Páginas: 535-552

ISSN: 0363-0129

Editora: Society for Industrial and Applied Mathematics

Indexação

ISI Web of Knowledge - 14 Citações

Scopus - 15 Citações

COMPENDEX

Classificação Científica

FOS: Ciências da engenharia e tecnologias > Engenharia electrotécnica, electrónica e informática

CORDIS: Ciências Tecnológicas > Engenharia > Engenharia de controlo

Outras Informações

ID Authenticus: P-004-4TM

DOI: 10.1137/060663623

Abstract (EN): The focus of this paper is on first order necessary conditions for optimal control problems with mixed state-control equality and inequality constraints. We consider the case when the cost and dynamics are nonsmooth, and the constraints satisfy Mangasarian-Fromowitz-type assumptions that weaken the commonly used hypothesis that the Jacobian of the active constraints, with respect to the free variable, is of full rank. The results are formulated as unmaximized Hamiltonian inclusion-type conditions involving not the customary product of partial subdifferentials but the joint subdifferential with respect to the state and control variables.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 18