Stabilization and disturbance rejection for the wave equation

Considers a system described by the one dimensional linear wave equation in a bounded domain with appropriate boundary conditions. To stabilize the system, the author proposes a dynamic boundary controller applied at the free end of the system. The author also considers the case where the output of the controller is corrupted by a disturbance and shows that it may be possible to attenuate the effect of the disturbance at the output if the controller transfer function is chosen appropriately.