Exact controllability and stabilization for a general internal wave system of Benjamin-Ono type

Abstract

<p style='text-indent:20px;'>In this work we consider the exact controllability and stabilization on a periodic domain for the generalized Benjamin-Ono type system for internal waves. The exact controllability of the linearized model is proved by using the moment method and spectral analysis. In order to get the same result for the nonlinear model, we use a fixed point argument in Sobolev spaces.</p>