Displaying similar documents to “Exact boundary synchronization for a coupled system of 1-D wave equations”

Exact controllability of the 1-d wave equation from a moving interior point

Carlos Castro (2013)

ESAIM: Control, Optimisation and Calculus of Variations

Similarity:

We consider the linear wave equation with Dirichlet boundary conditions in a bounded interval, and with a control acting on a moving point. We give sufficient conditions on the trajectory of the control in order to have the exact controllability property.

Exact Boundary Controllability of a Hybrid System of elasticity by the HUM Method

Bopeng Rao (2010)

ESAIM: Control, Optimisation and Calculus of Variations

Similarity:

We consider the exact controllability of a hybrid system consisting of an elastic beam, clamped at one end and attached at the other end to a rigid antenna. Such a system is governed by one partial differential equation and two ordinary differential equations. Using the HUM method, we prove that the hybrid system is exactly controllable in an arbitrarily short time in the usual energy space.

Exact boundary controllability for the Korteweg-de Vries equation on a bounded domain

L. Rosier (2010)

ESAIM: Control, Optimisation and Calculus of Variations

Similarity:

The exact boundary controllability of linear and nonlinear Korteweg-de Vries equation on bounded domains with various boundary conditions is studied. When boundary conditions bear on spatial derivatives up to order 2, the exact controllability result by Russell-Zhang is directly proved by means of Hilbert Uniqueness Method. When only the first spatial derivative at the right endpoint is assumed to be controlled, a quite different analysis shows that exact controllability holds...