We consider systems governed by a nonlinear parabolic equation, with a distributed control and a disturbance in the initial condition. We prove the existence of solutions to a corresponding minimax problem, and we obtain necessary optimality conditions in the form of Pontryagin's principles.
Publié le : 2000-07-05
Classification:
uncertain systems,
minimax,
semilinear parabolic equations,
existence of optimal solutions,
necessary optimality conditions,
Pontryagin's principle,
AMS 93C73, 93C20, 93C10, 49K20, 49J20,
[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]
@article{hal-00022031,
author = {Arada, Nadir and Bergounioux, Ma\"\i tine and Raymond, Jean-Pierre},
title = {Minimax controls for uncertain parabolic systems},
journal = {HAL},
volume = {2000},
number = {0},
year = {2000},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00022031}
}
Arada, Nadir; Bergounioux, Maïtine; Raymond, Jean-Pierre. Minimax controls for uncertain parabolic systems. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-00022031/