Feedback control of scalar conservation laws with application to density control in freeways by means of variable speed limitsFeedback control of scalar conservation laws with application to density control in freeways by means of variable speed limits Peer-Reviewed Journal Publication Δημοσίευση σε Περιοδικό με Κριτές 2020-05-282019enThe paper provides results for the stabilization of a spatially uniform equilibrium profile for a scalar conservation law that arises in the study of traffic dynamics under variable speed limit control. Two different control problems are studied: the problem with free speed limits at the inlet and the problem with no speed limits at the inlet. Explicit formulas are provided for respective feedback laws that guarantee stabilization of the desired equilibrium profile. For the first problem, global asymptotic stabilization is achieved; while for the second problem, regional exponential stabilization is achieved. Moreover, the solutions for the corresponding closed-loop systems are guaranteed to be classical solutions, i.e., there are no shocks. The obtained results are illustrated by means of a numerical example.http://creativecommons.org/licenses/by/4.0/Automatica105228-236 Papageorgiou Markos Παπαγεωργιου Μαρκος Karafyllis Iason Καραφυλλης Ιασων Elsevier Conservation laws Feedback stabilization Hyperbolic PDEs Traffic control