RV Gamkrelidze's maximum principle for optimal control problems with bounded phase coordinates and its relation to other optimality conditions

• Tipo: Artigo em Revista Científica Internacional
• Data: 2011

Autores

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

Revista

Título: Doklady Mathematics

Vol. 83

Páginas: 131-135

ISSN: 1064-5624

Editora: Pleiades Publishing

Indexação

ISI Web of Knowledge - 1 Citação

ISI Web of Science

Scopus - 2 Citações

Classificação Científica

FOS: Ciências exactas e naturais > Matemática

CORDIS: Ciências Tecnológicas

Outras Informações

ID Authenticus: P-002-VJJ

DOI: 10.1134/s1064562411010285

Abstract (EN): Necessary optimality conditions in optimal control problems with state constraints in the form of Pontryagin's maximum principle (MP) are studied. all the functions involved in the formulation of the problem are continuously differentiable, while vector function is twice continuously differentiable. An admissible process is said to be regular if there exists a number and bounded functions. Each of the functions is constant on any time interval where the optimal trajectory lies entirely in the interior of the set defined by the jth state constraint. For an optimal process in the problem, it is assumed that the terminal constraints at the point are regular, the phase and mixed constraints are regular, and the state constraints are compatible with the terminal ones at the point. For an admissible process satisfying the MP, it is assumed that the terminal constraints at the point are regular, the mixed constraints are regular, the state constraints are compatible with the terminal ones.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 5