向圣权 博士，école Polytechnique Fédérale de Lausanne

The water tank is governed by Saint-Venant equation. We prove that this system is locally controllable using the moment theory and Kato's pertubation theory. This controllability property helps to show that the system is exponentially stabilizable via backstepping of Fredholm type. This is a joint work with Jean-Michel Coron, Amaury Hayat and Christophe Zhang.