Exact controllability of the 1-d wave equation from a moving interior point
Dep. Matemática e Informática, ETSI Caminos, Canales y Puertos, Universidad Politécnica de Madrid, 28040 Madrid, Spain
Received: 15 March 2012
Revised: 9 September 2011
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.
Mathematics Subject Classification: 93B05 / 93B07 / 35L05
Key words: Exact controllability / wave equation / pointwise control
© EDP Sciences, SMAI, 2012