This paper deals with the optimal control of systems governed by nonlinear systems of
conservation laws at junctions. The applications considered range from gas compressors in …

We investigate the finite-time boundary stabilization of a one-dimensional first order
quasilinear hyperbolic system of diagonal form on 0, 1. The dynamics of both boundary …

In this paper we deal with the isentropic (compressible) Navier-Stokes equation in one
space dimension and we adress the problem of the boundary controllability for this system …

We revisit a result by Coron and Guerrero stating that the one-dimensional transport-
diffusion equation controlled by the left Dirichlet boundary value is zero-controllable at a …

In this paper, we study the output feedback stabilization for a scalar conservation law with a
nonlocal velocity that models a highly re-entrant manufacturing system as encountered in …

Conservation and balance laws on networks have been the subject of much research
interest given their wide range of applications to real-world processes, particularly traffic …

We consider the problem of Lyapunov boundary stabilization of the weak entropy solution to
a scalar conservation law with strictly convex flux in one dimension of space, around a …

In this paper, we analyze the controllability properties under positivity constraints on the
control or the state of a one-dimensional heat equation involving the fractional Laplacian …

In this paper, we study a scalar conservation law that models a highly re-entrant
manufacturing system as encountered in semi-conductor production. As a generalization of …

We consider N independent quantum particles, in an infinite square potential well coupled to
an external laser field. These particles are modelled by a system of linear Schrödinger …