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

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

2011-11-20

arxiv.org/abs/1111.4655v1

Mathematics

Optimization and Control

submitted

Scientific paper

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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