Exact controllability of a linear Korteweg-de Vries equation by the flatness approach

Abstract : We consider a linear Korteweg-de Vries equation on a bounded domain with a left Dirichlet boundary control. The controllability to the trajectories of such a system was proved in the last decade by using Carleman estimates. Here, we go a step further by establishing the exact controllability in a space of analytic functions with the aid of the flatness approach.
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Submitted on : Monday, April 16, 2018 - 6:07:46 PM
Last modification on : Monday, November 12, 2018 - 11:00:39 AM

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  • HAL Id : hal-01767971, version 1
  • ARXIV : 1804.06209

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Ivonne Rivas, Philippe Martin, Lionel Rosier, Pierre Rouchon. Exact controllability of a linear Korteweg-de Vries equation by the flatness approach. 2018. ⟨hal-01767971⟩

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