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Now showing items 1-8 of 8

#### Numerical meshes ensuring uniform observability of one-dimensional waves: Construction and analysis

(2016-01-01)

We build nonuniform numerical meshes for the finite difference and finite element approximations of the one-dimensional wave equation, ensuring that all numerical solutions reach the boundary, as continuous solutions do, ...

#### Transmutation techniques and observability for time-discrete approximation schemes of conservative systems

(2014-12-31)

In this article, we consider abstract linear conservative systems and their time-discrete counterparts. Our main result is a representation formula expressing solutions of the continuous model through the solution of the ...

#### Local Exact Controllability for the One-Dimensional Compressible Navier-Stokes Equation

(2012-12-31)

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 prove that we can drive initial conditions ...

#### The wave equation: Control and numerics

(2012-12-31)

In these Notes we make a self-contained presentation of the theory that has been developed recently for the numerical analysis of the controllability properties of wave propagation phenomena and, in particular, for the ...

#### Observability of heat processes by transmutation without geometric restrictions

(2011-12-31)

The goal of this note is to explain how transmutation techniques (originally introduced in [14] in the context of the control of the heat equation, inspired on the classical Kannai transform, and recently revisited in [4] ...

#### Sharp Observability Estimates for Heat Equations

(2011-12-31)

The goal of this article is to derive new estimates for the cost of observability of heat equations. We have developed a new method allowing one to show that when the corresponding wave equation is observable, the heat ...

#### A systematic method for building smooth controls for smooth data

(2010-12-31)

We prove a regularity result for an abstract control problem z' = Az + Bv with initial datum z(0) = z0 in which the goal is to determine a control v such that z(T) = 0. Under standard admissibility and observability ...

#### Uniformly exponentially stable approximations for a class of damped systems

(2009-12-31)

We consider time semi-discrete approximations of a class of exponentially stable infinite-dimensional systems modeling, for instance, damped vibrations. It has recently been proved that for time semi-discrete systems, due ...