Optimal control of linear bottleneck problems
ESAIM: Control, Optimisation and Calculus of Variations (2010)
- Volume: 3, page 235-250
- ISSN: 1292-8119
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topBergounioux, M., and Troeltzsch, F.. "Optimal control of linear bottleneck problems ." ESAIM: Control, Optimisation and Calculus of Variations 3 (2010): 235-250. <http://eudml.org/doc/197291>.
@article{Bergounioux2010,
abstract = {
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.
},
author = {Bergounioux, M., Troeltzsch, F.},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Continuous linear programming; optimal control; distributed parameter systems; state constraints; Lagrange multipliers;
regularity; bottleneck constraints. ; continuous linear programming; bottleneck constraints; regularity; linear parabolic optimal control problems},
language = {eng},
month = {3},
pages = {235-250},
publisher = {EDP Sciences},
title = {Optimal control of linear bottleneck problems },
url = {http://eudml.org/doc/197291},
volume = {3},
year = {2010},
}
TY - JOUR
AU - Bergounioux, M.
AU - Troeltzsch, F.
TI - Optimal control of linear bottleneck problems
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/3//
PB - EDP Sciences
VL - 3
SP - 235
EP - 250
AB -
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.
LA - eng
KW - Continuous linear programming; optimal control; distributed parameter systems; state constraints; Lagrange multipliers;
regularity; bottleneck constraints. ; continuous linear programming; bottleneck constraints; regularity; linear parabolic optimal control problems
UR - http://eudml.org/doc/197291
ER -
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