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Article Dans Une Revue Systems and Control Letters Année : 2009

Locally distributed control for a model of fluid-structure interaction

Résumé

We consider the equations modeling the coupled vibrations of a fluid-solid system. The control acts in a subset of a domain occupied by the fluid. Our main result asserts that we have exact controllability and exponential stabilizability provided that the support of the control contains a neighborhood of the solid and a neighborhood of the exterior boundary. This improves the existing exact controllability results, which require a control which is active in the whole fluid domain. The proof is based on a frequency domain approach, combined with the use of appropriate multipliers. Moreover, we show that the strong stabilizability property holds for any open control region.

Dates et versions

hal-00588263 , version 1 (22-04-2011)

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Marius Tucsnak, Muthusamy Vanninathan. Locally distributed control for a model of fluid-structure interaction. Systems and Control Letters, 2009, 58 (8), pp.547-552. ⟨10.1016/j.sysconle.2009.03.002⟩. ⟨hal-00588263⟩
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