Pontryagin's maximum principle for constrained impulsive control problems

• Tipo: Artigo em Revista Científica Internacional
• Data: 2012

Autores

Arutyunov, AV (Autor) Outra; Yu. Y Karamzin (Autor) Outra; Pereira, F (Autor) FEUP

Revista

Título: Nonlinear Analysis : Theory, Methods & Applications

Vol. 75

Páginas: 1045-1057

ISSN: 0362-546X

Editora: Elsevier

Indexação

ISI Web of Knowledge - 21 Citações

ISI Web of Science

Scopus - 25 Citações

Classificação Científica

FOS: Ciências exactas e naturais > Matemática

CORDIS: Ciências Tecnológicas

Outras Informações

ID Authenticus: P-002-DRZ

DOI: 10.1016/j.na.2011.04.047

Abstract (EN): Necessary conditions in the form of Pontryagin's maximum principle are derived for impulsive control problems with mixed constraints. A new mathematical concept of impulsive control is introduced as a requirement for the consistency of the impulsive framework. Additionally, this control concept enables the incorporation of the engineering needs to consider conventional control action while the impulse develops. The regularity assumptions under which the maximum principle is proved are weaker than those in the known literature. Ekeland's variational principle and Lebesgue's discontinuous time variable change are used in the proof. The article also contains an example showing how such impulsive controls could be relevant in actual applications.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 13