Quantitative stabilization is an active topic in PDEs’ control theory, namely to construct explicit feedback laws as control to make the closed-loop system stable together with quantitative estimates. In this presentation we will talk about some recent progress in this topic including the Frequency Lyapunov method on the stabilization of parabolic equations, the Fredholm backstepping method on the stabilization of the linearized water waves equation.
Shengquan Xiang is a Tenure Track assistant professor at Peking University. Before joining Peking University, he was a postdoc at EPFL. In 2019, he earned his Ph.D. from Sorbonne Université, where he conducted research on controllability and stabilization of fluids, under the supervision of Prof. Jean-Michel Coron.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai