Artículos de revistas
Necessary optimality conditions for minimax optimal control problems with mixed constraints
Date
2021-01-01Registration in:
ESAIM - Control, Optimisation and Calculus of Variations, v. 27.
1262-3377
1292-8119
10.1051/cocv/2021069
2-s2.0-85110408708
Author
Carrera de Matemática
Systec
Universidade Estadual Paulista (UNESP)
Institutions
Abstract
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.