Conditions for the Absence of Jumps of the Solution to the Adjoint System of the Maximum Principle for Optimal Control Problems with State Constraints

• Tipo: Artigo em Revista Científica Internacional
• Data: 2016

Autores

Arutyunov, AV (Autor) Outra; Dmitry Karamzin (Autor) FEUP; Fernando Lobo Pereira (Autor) FEUP

Revista

Título: Proceedings of the Steklov Institute of Mathematics

Vol. 292

Páginas: S27-S35

ISSN: 0081-5438

Editora: Pleiades Publishing

Indexação

ISI Web of Knowledge - 3 Citações

Scopus - 5 Citações

Outras Informações

ID Authenticus: P-00K-GCM

DOI: 10.1134/s0081543816020036

Abstract (EN): Properties of Lagrange multipliers from the Pontryagin maximum principle for problems with state constraints are investigated. Sufficient conditions for the continuity of the solution of the adjoint equation depending on how the extremal trajectory approaches the state constraint boundary are obtained. The proof uses the notion of closure with respect to measure of a Lebesgue measurable function and the Caratheodory theorem.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 9