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

Published online by Cambridge University Press:  03 July 2012

Carlos Castro
Carlos Castro*
Affiliation:
Dep. Matemática e Informática, ETSI Caminos, Canales y Puertos, Universidad Politécnica de Madrid, 28040 Madrid, Spain. carlos.castro@upm.es
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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.

Keywords

Exact controllabilitywave equationpointwise control
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 19 , Issue 1 , January 2013 , pp. 301 - 316
Copyright
© EDP Sciences, SMAI, 2012

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