Exact controllability of the 1-d wave equation from a moving interior point

Carlos Castro

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

  • Volume: 19, Issue: 1, page 301-316
  • ISSN: 1292-8119

Abstract

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We consider the linear wave equation with Dirichlet boundary conditions in a bounded interval, and with a control acting on a moving point. We give sufficient conditions on the trajectory of the control in order to have the exact controllability property.

How to cite

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Castro, Carlos. "Exact controllability of the 1-d wave equation from a moving interior point." ESAIM: Control, Optimisation and Calculus of Variations 19.1 (2013): 301-316. <http://eudml.org/doc/272803>.

@article{Castro2013,
abstract = {We consider the linear wave equation with Dirichlet boundary conditions in a bounded interval, and with a control acting on a moving point. We give sufficient conditions on the trajectory of the control in order to have the exact controllability property.},
author = {Castro, Carlos},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {exact controllability; wave equation; pointwise control},
language = {eng},
number = {1},
pages = {301-316},
publisher = {EDP-Sciences},
title = {Exact controllability of the 1-d wave equation from a moving interior point},
url = {http://eudml.org/doc/272803},
volume = {19},
year = {2013},
}

TY - JOUR
AU - Castro, Carlos
TI - Exact controllability of the 1-d wave equation from a moving interior point
JO - ESAIM: Control, Optimisation and Calculus of Variations
PY - 2013
PB - EDP-Sciences
VL - 19
IS - 1
SP - 301
EP - 316
AB - We consider the linear wave equation with Dirichlet boundary conditions in a bounded interval, and with a control acting on a moving point. We give sufficient conditions on the trajectory of the control in order to have the exact controllability property.
LA - eng
KW - exact controllability; wave equation; pointwise control
UR - http://eudml.org/doc/272803
ER -

References

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