Abdelkarim Kelleche2021-03-142021-03-142017http://dspace.univ-msila.dz:8080//xmlui/handle/123456789/24042In this paper, we consider a system modelling an axially moving vis- coelastic string subject to an unknown boundary disturbance. It is controlled by a hydraulic touch-roll actuator at the right boundary which is capable of suppressing the transverse vibrations that occur during the movement of the string. The mul- tiplier method is employed to design a robust boundary control law to ensure the reduction of the transvesre vibrations of the string.Article