2 citations · 2 across the 5 of their papers we have counts for
7 papers
Semi-global controllability of a geometric wave equation
Joachim Krieger, Shengquan Xiang
We prove the semi-global controllability and stabilization of the -dimensional wave maps equation with spatial domain and target . First we show…
Stability of multi-population traffic flows
Amaury Hayat, Benedetto Piccoli, Shengquan Xiang
Traffic waves, known also as stop-and-go waves or phantom hams, appear naturally as traffic instabilities, also in confined environments as a ring-road. A multi-population traffic…
On the global approximate controllability in small time of semiclassical 1-D Schrödinger equations between two states with positive quantum densities
Jean-Michel Coron, Shengquan Xiang, Ping Zhang
In this paper, we study, in the semiclassical sense, the global approximate controllability in small time of the quantum density and quantum momentum of the 1-D semiclassical cubic…
Fredholm transformation on Laplacian and rapid stabilization for the heat equation
Ludovick Gagnon, Amaury Hayat, Shengquan Xiang +1
We study the rapid stabilization of the heat equation on the 1-dimensional torus using the backstepping method with a Fredholm transformation. We prove that, under some assumption…
Small-time local stabilization of the two dimensional incompressible Navier-Stokes equations
Shengquan Xiang
We provide explicit time-varying feedback laws that locally stabilize the two dimensional internal controlled incompressible Navier-Stokes equations in arbitrarily small time. We a…
Quantitative rapid and finite time stabilization of the heat equation
Shengquan Xiang
The null controllability of the heat equation is known for decades [19,23,30]. The finite time stabilizability of the one dimensional heat equation was proved by Coron--Nguyên [13]…