Necessary optimality conditions for minimax optimal control problems with mixed constraints

Autor(es)

Patzi Aquino, Paola Geovanna ^[1] ; de Pinho, M. D. R. ^[2] ; Silva, Geraldo Nunes ^[3]

Afiliação do(s) autor(es)

^[1] Univ Mayor San Andres, Carrera Matemat, La Paz - Bolivia

^[2] Univ Porto, Fac Engn, Systec, DEEC, Porto - Portugal

^[3] UNESP Univ Estadual Paulista, Inst Biociencias Letras & Ciericias Exatas, Dept Matemat, Sao Jose Do Rio Preto, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS; v. 27, JUL 12 2021.
• Citações Web of Science: 0

Resumo

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. (AU)

• Processo FAPESP: 13/07375-0 - CeMEAI - Centro de Ciências Matemáticas Aplicadas à Indústria
• Beneficiário: Francisco Louzada Neto
• Modalidade de apoio: Auxílio à Pesquisa - Centros de Pesquisa, Inovação e Difusão - CEPIDs
• Processo FAPESP: 18/08036-8 - Controlo e estimação multi-agente para a conciliação de objetivos multi-horizonte
• Beneficiário: Geraldo Nunes Silva
• Modalidade de apoio: Auxílio à Pesquisa - Regular