Motion planning and boundary control for a class of linear PDEs with
constant coefficients is presented. With the proposed method transitions
from rest to rest can be achieved in a prescribed finite time. When
parameterizing the system by a flat output, the system trajectories can be
calculated from the flat output trajectory by evaluating definite
convolution integrals. The compact kernels of the integrals can be
calculated using infinite series. Explicit formulae are derived employing
Mikusiński's operational calculus. The method is illustrated through an
application to a model of a Timoshenko beam, which is clamped on a rotating
disk and carries a load at its free end.