In this paper we investigate optimal control problems governed by variational inequalities. We present a method for deriving optimality conditions in the form of Pontryagin's principle. The main tools used are the Ekeland's variational principle combined with penalization and spike variation techniques.
Publié le : 1999-07-05
Classification:
Optimal Control,
Pontryagin Principle,
Variational Inequalities,
49J20, 49M29,
[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]
@article{hal-00023013,
author = {Bergounioux, Ma\"\i tine and Zidani, Housnaa},
title = {Pontryagin Maximum Principle for Optimal Control of Variational Inequalities},
journal = {HAL},
volume = {1999},
number = {0},
year = {1999},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00023013}
}
Bergounioux, Maïtine; Zidani, Housnaa. Pontryagin Maximum Principle for Optimal Control of Variational Inequalities. HAL, Tome 1999 (1999) no. 0, . http://gdmltest.u-ga.fr/item/hal-00023013/