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

Philippe Martin; Lionel Rosier; Pierre Rouchon

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arXiv · 1111.4655

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

Philippe Martin·Lionel Rosier·Pierre Rouchon

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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.

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Philippe Martin, Lionel Rosier, Pierre Rouchon. 2011-11-20. Null controllability of the structurally damped wave equation with moving point control. https://arxiv.org/abs/1111.4655

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