# 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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