On time optimal control of the wave equation, its regularization and optimality system

Karl Kunisch; Daniel Wachsmuth

ESAIM: Control, Optimisation and Calculus of Variations (2013)

  • Volume: 19, Issue: 2, page 317-336
  • ISSN: 1292-8119

Abstract

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An approximation procedure for time optimal control problems for the linear wave equation is analyzed. Its asymptotic behavior is investigated and an optimality system including the maximum principle and the transversality conditions for the regularized and unregularized problems are derived.

How to cite

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Kunisch, Karl, and Wachsmuth, Daniel. "On time optimal control of the wave equation, its regularization and optimality system." ESAIM: Control, Optimisation and Calculus of Variations 19.2 (2013): 317-336. <http://eudml.org/doc/272832>.

@article{Kunisch2013,
abstract = {An approximation procedure for time optimal control problems for the linear wave equation is analyzed. Its asymptotic behavior is investigated and an optimality system including the maximum principle and the transversality conditions for the regularized and unregularized problems are derived.},
author = {Kunisch, Karl, Wachsmuth, Daniel},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {time optimal control; wave equation; optimality condition; transversality condition},
language = {eng},
number = {2},
pages = {317-336},
publisher = {EDP-Sciences},
title = {On time optimal control of the wave equation, its regularization and optimality system},
url = {http://eudml.org/doc/272832},
volume = {19},
year = {2013},
}

TY - JOUR
AU - Kunisch, Karl
AU - Wachsmuth, Daniel
TI - On time optimal control of the wave equation, its regularization and optimality system
JO - ESAIM: Control, Optimisation and Calculus of Variations
PY - 2013
PB - EDP-Sciences
VL - 19
IS - 2
SP - 317
EP - 336
AB - An approximation procedure for time optimal control problems for the linear wave equation is analyzed. Its asymptotic behavior is investigated and an optimality system including the maximum principle and the transversality conditions for the regularized and unregularized problems are derived.
LA - eng
KW - time optimal control; wave equation; optimality condition; transversality condition
UR - http://eudml.org/doc/272832
ER -

References

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