On the boundary controllability of the Korteweg–de Vries equation on a star-shaped network
Résumé
A system of N Korteweg–de Vries equations coupled by the boundary conditions is considered in this paper. The configuration studied here is the one called star-shaped network, where the boundary inputs can act on a central node and on the N external nodes. In the literature, there is a recent result proving the exact controllability of this system by using (N+1) controls. We succeed to remove the input acting on the central node and consequently we obtain the exact controllability with N inputs.