Using nudging for the control of a non-local PDE traffic flow modelUsing nudging for the control of a non-local PDE traffic flow model Πλήρης Δημοσίευση σε Συνέδριο Conference Full Paper 2021-07-062020enThe paper provides conditions that guarantee existence and uniqueness of classical solutions for a non-local conservation law on a ring-road with nudging (or “look behind”) terms. The obtained conditions are novel, as they are not covered by existing results in the literature. The paper also provides results which indicate that nudging can increase the flow in a ring-road and, if properly designed, can have a strong stabilizing effect on traffic flow. The efficiency of the use of nudging terms is demonstrated by means of a numerical example.The research leading to these results has received funding from the European Research Council under the European Union’s Horizon 2020 Research and Innovation programme/ ERC Grant Agreement n. [833915], project TrafficFluid.http://creativecommons.org/licenses/by-nc-nd/4.0/1260-126523rd IEEE International Conference on Intelligent Transportation SystemsProceedings of the 23rd IEEE International Conference on Intelligent Transportation SystemsKarafyllis_et_al._ITSC_2020.pdfChania [Greece]Library of TUC2021-07-05application/pdf653.6 kBfree Karafyllis Iason Καραφυλλης Ιασων Theodosis Dionysios Θεοδοσης-Παλημερης Διονυσιος Papageorgiou Markos Παπαγεωργιου Μαρκος Institute of Electrical and Electronics Engineers Mathematical model Vehicles Vehicle dynamics Roads Numerical models Europe Traffic control