Exact controllability of a linear Korteweg-de Vries equation by the flatness approach
Analysis of PDEs
2018-04-18 v1
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.
Keywords
Cite
@article{arxiv.1804.06209,
title = {Exact controllability of a linear Korteweg-de Vries equation by the flatness approach},
author = {Ivonne Rivas and Philippe Martin and Lionel Rosier and Pierre Rouchon},
journal= {arXiv preprint arXiv:1804.06209},
year = {2018}
}