The regularity of Lagrange multipliers for state-constrained optimal control problems belongs to the basic questions of control theory. Here, we investigate bottleneck problems arising from optimal control problems for PDEs with certain mixed control-state inequality constraints. We show how to obtain Lagrange multipliers in Lp-spaces for linear problems and give an application to linear parabolic optimal control problems.
Publié le : 1998-07-05
Classification:
e bottleneck constraints,
Lagrange multipliers,
continuous linear programming,
optimal control,
distributed parameter systems,
state constraints,
90C05,90C45,90C48,49N05,49N15,
[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]
@article{hal-00023016,
author = {Bergounioux, Ma\"\i tine and Tr\"oltzsch, Fredi},
title = {Optimal Control of Linear Bottleneck Problems},
journal = {HAL},
volume = {1998},
number = {0},
year = {1998},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00023016}
}
Bergounioux, Maïtine; Tröltzsch, Fredi. Optimal Control of Linear Bottleneck Problems. HAL, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/hal-00023016/