Introduction -- Mathematical Preliminaries -- PDE Modeling for Flexible Manipulator -- Boundary Control Using Singular Perturbation Approach -- Robust boundary control of an axially moving system -- Adaptive boundary control of an axially moving system with high acceleration/deceleration -- Adaptive boundary control of an axially moving belt system with high acceleration/deceleration -- Boundary control of an axially moving accelerated/decelerated -- Stabilization of anaxially moving accelerated/decelerated system -- Adaptive output feedback boundary control -- Vibration control and boundary tension constraint of an axially moving string system -- Boundary Control for an Axially Moving System With Input Restriction Based on Disturbance Observers -- Adaptive Neural Network Vibration Control for an Output-Tension-Constrained Axially Moving Belt System With Input Nonlinearity -- Conclusion.