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Exact controllability of a linear Korteweg-de Vries equation by the flatness approach (1804.06209v1)

Published 17 Apr 2018 in math.AP

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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