State constrained optimal control problems represent severe analytical and numerical challenges. A numerical algorithm based on an active set strategy involving primal as well as dual variables, suggested by a generalized Moreau-Yosida regularization of the state constraint is proposed and analyzed. Numerical examples are included.
Publié le : 2002-07-05
Classification:
Optimal control,
state constraints,
augmented Lagrangians,
primal-dual method,
active sets,
AMS 49J20, 49K20,
[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]
@article{hal-00022023,
author = {Bergounioux, Ma\"\i tine and Kunisch, Karl},
title = {Primal-Dual Strategy for State-Constrained Optimal Control Problems},
journal = {HAL},
volume = {2002},
number = {0},
year = {2002},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00022023}
}
Bergounioux, Maïtine; Kunisch, Karl. Primal-Dual Strategy for State-Constrained Optimal Control Problems. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00022023/