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Article Dans Une Revue SIAM Journal on Control and Optimization Année : 2013

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

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Résumé

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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Dates et versions

hal-00829857 , version 1 (04-06-2013)

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Philippe Martin, Lionel Rosier, Pierre Rouchon. Null controllability of the structurally damped wave equation with moving point control. SIAM Journal on Control and Optimization, 2013, 51 (1), pp.660-684. ⟨10.1137/110856150⟩. ⟨hal-00829857⟩
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