Normality and second-order optimality conditions in state-constrained optimal control problems with bounded minimizers

• Tipo: Artigo em Revista Científica Internacional
• Data: 2023

Autores

Dmitry Karamzin (Autor) FEUP

Revista

Título: Journal of Differential Equations

Vol. 366

Páginas: 378-407

ISSN: 0022-0396

Editora: Elsevier

Indexação

ISI Web of Knowledge - 0 Citações

Scopus - 0 Citações

Outras Informações

ID Authenticus: P-00Y-9FA

DOI: 10.1016/j.jde.2023.04.011

Abstract (EN): A smooth optimal control problem with endpoint, mixed and state constraints is considered. The controllability matrix is constructed and the normality condition is presented as the condition of full rank for this matrix. The approach based on the controllability matrix allows one to examine the case of state-constrained control problems with fixed endpoints. As an application of normality, the second-order necessary optimality conditions are derived. The connection between different forms of second-order conditions is indicated.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 30