Recent advances in the analysis of pointwise state-constrained elliptic optimal control problems
Eduardo Casas; Fredi Tröltzsch
ESAIM: Control, Optimisation and Calculus of Variations (2010)
- Volume: 16, Issue: 3, page 581-600
- ISSN: 1292-8119
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topCasas, Eduardo, and Tröltzsch, Fredi. "Recent advances in the analysis of pointwise state-constrained elliptic optimal control problems." ESAIM: Control, Optimisation and Calculus of Variations 16.3 (2010): 581-600. <http://eudml.org/doc/250737>.
@article{Casas2010,
abstract = { Optimal control problems for semilinear elliptic equations
with control constraints and pointwise state constraints are
studied. Several theoretical results are derived, which are
necessary to carry out a numerical analysis for this class of
control problems. In particular, sufficient second-order optimality
conditions, some new regularity results on optimal controls and a
sufficient condition for the uniqueness of the Lagrange multiplier
associated with the state constraints are presented.
},
author = {Casas, Eduardo, Tröltzsch, Fredi},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Optimal control; pointwise state constraints; first and second order optimality conditions; Lagrange multipliers; Borel measures; optimal control},
language = {eng},
month = {7},
number = {3},
pages = {581-600},
publisher = {EDP Sciences},
title = {Recent advances in the analysis of pointwise state-constrained elliptic optimal control problems},
url = {http://eudml.org/doc/250737},
volume = {16},
year = {2010},
}
TY - JOUR
AU - Casas, Eduardo
AU - Tröltzsch, Fredi
TI - Recent advances in the analysis of pointwise state-constrained elliptic optimal control problems
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/7//
PB - EDP Sciences
VL - 16
IS - 3
SP - 581
EP - 600
AB - Optimal control problems for semilinear elliptic equations
with control constraints and pointwise state constraints are
studied. Several theoretical results are derived, which are
necessary to carry out a numerical analysis for this class of
control problems. In particular, sufficient second-order optimality
conditions, some new regularity results on optimal controls and a
sufficient condition for the uniqueness of the Lagrange multiplier
associated with the state constraints are presented.
LA - eng
KW - Optimal control; pointwise state constraints; first and second order optimality conditions; Lagrange multipliers; Borel measures; optimal control
UR - http://eudml.org/doc/250737
ER -
References
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Citations in EuDML Documents
top- Arnd Rösch, Simeon Steinig, error estimates for a state-constrained elliptic optimal control problem
- Arnd Rösch, Simeon Steinig, A priori error estimates for a state-constrained elliptic optimal control problem
- Arnd Rösch, Simeon Steinig, error estimates for a state-constrained elliptic optimal control problem
- Eduardo Casas, Mariano Mateos, Boris Vexler, New regularity results and improved error estimates for optimal control problems with state constraints
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