Feedback control of nonlinear hyperbolic PDE systems inspired by traffic flow models Feedback control of nonlinear hyperbolic PDE systems inspired by traffic flow models Peer-Reviewed Journal Publication Δημοσίευση σε Περιοδικό με Κριτές 2019-01-042018enThe paper investigates and provides results, including feedback control, for a nonlinear, hyperbolic, 1-D PDE system on a bounded domain. The considered model consists of two first-order PDEs with a dynamic boundary condition on the one end and actuation on the other. It is shown that, for all positive initial conditions, the system admits a globally defined, unique, classical solution that remains positive and bounded for all times; these properties are important, for example for traffic flow models. Moreover, it is shown that global stabilization can be achieved for arbitrary equilibria by means of an explicit boundary feedback law. The stabilizing feedback law depends only on collocated boundary measurements. The efficiency of the proposed boundary feedback law is demonstrated by means of a numerical example of traffic density regulation.I. Karafyllis and M. Papageorgiou were supported by the funding from the ERC under the European Union's 7th Framework Programme (FP/2007-2013)/ ERC Grant Agreement n. [321132], project TRAMAN21. N. Bekiaris-Liberis was supported by the funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No 747898, project PADECOT.http://creativecommons.org/licenses/by/4.0/IEEE Transactions on Automatic ControlEarly AccessKarafyllis_et_al_IEEE Trans. Automat. Contr._Early Access_2018.pdfChania [Greece]Library of TUC2019-01-04application/pdf1 MB 10.1109/TAC.2018.2887141free Karafyllis, Iasson Bekiaris-Liberis Nikolaos Μπεκιαρης-Λυμπερης Νικολαος Papageorgiou Markos Παπαγεωργιου Μαρκος Institute of Electrical and Electronics Engineers Boundary feedback Traffic flow Hyperbolic PDEs