Global exponential stabilisation of acyclic traffic networksGlobal exponential stabilisation of acyclic traffic networks Peer-Reviewed Journal Publication Δημοσίευση σε Περιοδικό με Κριτές 2018-04-232017enThis work is devoted to the construction of explicit feedback control laws for the robust global exponential stabilisation of general uncertain discrete-time acyclic 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 stabiliser of the desired uncongested equilibrium point of the network. Our main focus is on traffic networks and all assumptions are related to features appearing in traffic models. An illustrative example demonstrates the applicability of the obtained results to realistic traffic flow networks. http://creativecommons.org/licenses/by/4.0/International Journal of Control1-21 Kontorinaki Maria Κοντορινακη Μαρια Karafyllis, Iasson Papageorgiou Markos Παπαγεωργιου Μαρκος Taylor & Francis Acyclic networks Discrete-time systems Nonlinear systems Traffic control