Minimax optimal control problem with state constraints

Autor(es)

Karamzin, Dmitry ; de Oliveira, Valeriano ; Pereira, Fernando ; Silva, Geraldo

• Tipo de documento: Artigo Científico
• Fonte: European Journal of Control; v. 32, p. 24-31, NOV 2016.
• Citações Web of Science: 1

Resumo

In this article, nondegenerate necessary conditions of optimality are derived and discussed for the so-called ``minimax{''} optimal control problems with state constraints. In this class of problems, the data depends on an unknown parameter that takes values in a given compact set called ``uncertainty set{''}. The solution of the problem is considered for the worst case value of the unknown parameter. The result is obtained in the two stages: after the basic necessary conditions of optimality are derived, additional conditions ensuring their nondegeneracy in the minimax context are obtained. (C) 2016 European Control Association. Published by Elsevier Ltd. All rights reserved. (AU)

• Processo FAPESP: 16/03540-4 - Condições de qualificação em controle ótimo
• Beneficiário: Valeriano Antunes de Oliveira
• Linha de fomento: Auxílio à Pesquisa - Regular
• Processo FAPESP: 13/07375-0 - CeMEAI - Centro de Ciências Matemáticas Aplicadas à Indústria
• Beneficiário: José Alberto Cuminato
• Linha de fomento: Auxílio à Pesquisa - Centros de Pesquisa, Inovação e Difusão - CEPIDs