Optimal control problem with state constraints via penalty functions

• Tipo: Artigo em Revista Científica Internacional
• Data: 2024

Autores

Maria do Rosário de Pinho (Autor) FEUP; Ferreira, MMA (Autor) Outra; Smirnov, G (Autor) Outra

Revista

Título: Systems and Control Letters

Vol. 188

ISSN: 0167-6911

Editora: Elsevier

Indexação

ISI Web of Knowledge - 0 Citações

Scopus - 0 Citações

Outras Informações

ID Authenticus: P-010-D20

DOI: 10.1016/j.sysconle.2024.105816

Abstract (EN): In this paper, we derive necessary conditions of optimality for problems with state constraints using the method of penalty functions similar to the one we previously used to solve optimization problems for control sweeping processes (see, e.g., de Pinho et al., 2022). Our aim is to provide a proof of the Maximum Principle that can be easily followed by those with basic knowledge of classical optimal control and elementary functional analysis. We intentionally consider a smooth case and the simplest boundary conditions; we consider global minimum and assume that the set of trajectories of the control system is compact.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 4