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Null controllability of the structurally damped wave equation with moving point control

Authors: Philippe Martin, Lionel Rosier, and Pierre Rouchon, SIAM J. Control Optim., Vol 51, no 1, pp. 660–684 DOI: 10.1137/110856150
We investigate the internal controllability of the wave equation with structural damping on the one-dimensional torus. We assume that the control is acting on a moving point or on a moving small interval with a constant velocity. We prove that the null controllability holds in some suitable Sobolev space and after a fixed positive time independent of the initial conditions.
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BibTeX:
@Article{,
author = {Lionel Rosier Philippe Martin, and Pierre Rouchon},
title = {Null controllability of the structurally damped wave equation with moving point control},
journal = {SIAM J. Control Optim.},
volume = {51},
number = {1},
pages = {660–684},
year = {2013},
}