We study state estimation of the linearized Schrödinger equation within a prescribed
terminal time. We make use of a time–varying, complex–valued observer gain and boundary …

Hyperbolic systems model the phenomena of propagations at finite speeds. They are
present in many fields of science and, consequently, in many human applications. For these …

In this article we are interested in the boundary stabilization in finite time of one-dimensional
linear hyperbolic balance laws with coefficients depending on time and space. We extend …

This paper is devoted to the controllability of a general linear hyperbolic system in one
space dimension using boundary controls on one side. Under precise and generic …

In this article we study the so-called water tank system. In this system, the behavior of water
contained in a one dimensional tank is modelled by Saint-Venant equations, with a scalar …

We are concerned about the controllability of a general linear hyperbolic system of the form
\partial_tw(t,x)=Σ(x)\partial_xw(t,x)+γC(x)w(t,x) (γ∈R) in one space dimension using …

We study the rapid stabilization of the heat equation on the 1-dimensional torus using the
backstepping method with a Fredholm transformation. This classical framework allows us to …

We consider a 1-D linear transport equation on the interval (0, L), with an internal scalar
control. We prove that if the system is controllable in a periodic Sobolev space of order …

We use the backstepping method to study the stabilization of a 1-D linear transport equation
on the interval (0, L), by controlling the scalar amplitude of a piecewise regular function of …

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--Nguy\^ en [13] …