This book presents methods to study the controllability and the stabilization of nonlinear
control systems in finite and infinite dimensions. The emphasis is put on specific phenomena …

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 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 study the controllability problem for the one-dimensional Euler isentropic system, both in
Eulerian and Lagrangian coordinates, by means of boundary controls, in the context of weak …

We study the exact boundary controllability of a class of nonlocal conservation laws
modeling traffic flow. The velocity of the macroscopic dynamics depends on a weighted …

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 …

We consider scalar conservation laws where the flux function depends discontinuously on
both the spatial and temporal locations. Our main results are the existence and well …

In this paper, we study the exact controllability problem for nonlinear scalar conservation
laws on a compact interval with a regular convex flux and in the framework of entropy …