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arXiv · 1804.06209

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

Ivonne Rivas·Philippe Martin·Lionel Rosier·Pierre Rouchon
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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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Ivonne Rivas, Philippe Martin, Lionel Rosier, Pierre Rouchon. 2018-04-17. Exact controllability of a linear Korteweg-de Vries equation by the flatness approach. https://arxiv.org/abs/1804.06209

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