Necessary optimality conditions for minimax optimal control problems with mixed constraints

• Tipo: Artigo em Revista Científica Internacional
• Data: 2021

Autores

Paola Geovanna Patzi Aquino (Autor) Outra; Maria do Rosário de Pinho (Autor) FEUP; Geraldo Nunes Silva (Autor) Outra

Revista

Título: ESAIM - Control, Optimisation and Calculus of Variations

Vol. 27

Páginas: 1-72

ISSN: 1292-8119

Editora: EDP Sciences

Indexação

ISI Web of Knowledge - 1 Citação

Outras Informações

ID Authenticus: P-00V-5XS

DOI: 10.1051/cocv/2021069

Abstract (EN): A weak maximal principle for minimax optimal control problems with mixed state-control equality and inequality constraints is provided. In the formulation of the minimax control problem we allow for parameter uncertainties in all functions involved: in the cost function, in the dynamical control system and in the equality and inequality constraints. Then a new constraint qualification of Mangassarian-Fromovitz type is introduced which allowed us to prove the necessary conditions of optimality. We also derived the optimality conditions under a full rank conditions type and showed that it is, as usual, a particular case of the Mangassarian-Fromovitz type condition case. Illustrative examples are presented.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 24