Abstract

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.