  We propose a new design technique for the stabilization of coupled ODE-PDE
systems in feedforward form. In particular, we address the stabilization
problem of a one-dimensional transport equation driven by a scalar ODE which is
controlled via a cone-bounded nonlinearity. The unforced transport equation is
conservative but not asymptotically stable. The proposed technique is inspired
by the forwarding approach early introduced in the 90's. Well-posedness and
asymptotic stability of the closed-loop system are discussed.
