Null controllability of the structurally damped wave equation with moving point control
Optimization and Control
2011-11-22 v1 Analysis of PDEs
Abstract
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.
Cite
@article{arxiv.1111.4655,
title = {Null controllability of the structurally damped wave equation with moving point control},
author = {Philippe Martin and Lionel Rosier and Pierre Rouchon},
journal= {arXiv preprint arXiv:1111.4655},
year = {2011}
}
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