Abstract

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 is based on recently proposed vector-Lyapunov function criteria, as well as the fact that the network is acyclic. 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.

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