Boundary control of some infinite dimensional systems

Abstract

We will consider the feedback stabilization of a class of infinite dimensional systems by using boundary control, i.e. control inputs are applied at the boundaries of such systems. Such systems usually possess an internal energy, and along their solutions a conservation of energy equation hold. By utilizing this relation, we will prove various stability results.We will also give an example on the application of the proposed technique to some well known passive systems. We will also present some simulation results.