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Optimal control of linear bottleneck problems

Published online by Cambridge University Press:  15 August 2002

M. Bergounioux  and
F. Troeltzsch
M. Bergounioux
Affiliation:
(Maitine.Bergounioux@labomath.univ-orleans.fr)
F. Troeltzsch
Affiliation:
(f.troeltzsch@mathematik.tu-chemnitz.de)
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Abstract

The regularity of Lagrange multipliers for state-constrained optimal control problems belongs to the basic questions of controltheory. Here, we investigate bottleneck problems arising from optimal control problems for PDEs with certain mixed control-stateinequality constraints. We show how to obtain Lagrange multipliers in Lp spaces for linear problems and give an application to linearparabolic optimal control problems.

Keywords

Continuous linear programmingoptimal controldistributed parameter systemsstate constraintsLagrange multipliersregularitybottleneck constraints.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 3 , 1998 , pp. 235 - 250
Copyright
© EDP Sciences, SMAI, 1998

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