This paper surveys several topics related to the observation and control of wave propagation
phenomena modeled by finite difference methods. The main focus is on the property of …

Abstract Contents Introduction § 1. Statement of the problem. Main results 1.1. Exact
boundary controllability of the Navier-Stokes equations 1.2. Local exact distributed …

The method of “integrator backstepping” emerged around 1990 as a robust version of
feedback linearization for nonlinear systems with uncertainties. Backstepping was …

In this chapter we present some of the recent progresses done on the problem of
controllability of partial differential equations (PDE). Control problems for PDE arise in many …

This paper has been conceived as an overview on the controllability properties of some
relevant (linear and nonlinear) parabolic systems. Specifically, we deal with the null …

In this paper we deal with the local exact controllability of the Navier–Stokes system with
distributed controls supported in small sets. In a first step, we present a new Carleman …

Given α∈0,2) and f∈L^2((0,T)*(0,1)), we derive new Carleman estimates for the degenerate
parabolic problem w_t+(x^αw_x)_x=f, where (t,x)∈(0,T)*(0,1), associated to the boundary …

We prove Carleman inequalities for a second order parabolic equation when the coefficients
are not bounded and norms of right hand sides are taken in the Sobolev space L 2 (0, T; W …

We study the local exact controllability problem for the Navier-Stokes equations that
describe an incompressible fluid flow in a bounded domain Ω with control distributed in a …

We consider a nonrelativistic charged particle in a 1D moving potential well. This quantum
system is subject to a control, which is the acceleration of the well. It is represented by a …