In this paper we investigate optimal control problems governed by elliptic variational inequalities of the obstacle type. We show how to obtain optimality conditions for a relaxed problem with or without state constraints. Then we present the optimality system related to the original problem with state constraints, using a generalized derivative.
Publié le : 1998-07-05
Classification:
Optimality Conditions,
Constrained Control Problems,
Variational Inequalities,
Optimality Conditions.,
49J20, 49M29,
[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]
@article{hal-00023019,
author = {Bergounioux, Ma\"\i tine and Tiba, Dan},
title = {Optimal Control of the Obstacle Problem with State Constraints},
journal = {HAL},
volume = {1998},
number = {0},
year = {1998},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00023019}
}
Bergounioux, Maïtine; Tiba, Dan. Optimal Control of the Obstacle Problem with State Constraints. HAL, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/hal-00023019/