  This work is devoted to the construction of explicit feedback control laws
for the robust, global, exponential stabilization of general, uncertain,
discrete-time, acyclic traffic networks. We consider discrete-time, uncertain
network models which satisfy very weak assumptions. The construction of the
controllers and the rigorous proof of the robust, global, exponential stability
for the closed-loop system are based on recently proposed vector-Lyapunov
function criteria, as well as the fact that the network is acyclic. It is
shown, in this study, that the latter requirement is necessary for the
existence of a robust, global, exponential stabilizer of the desired
uncongested equilibrium point of the network. An illustrative example
demonstrates the applicability of the obtained results to realistic traffic
flow networks.
