Stability results for simple traffic models under PI-regulator controlStability results for simple traffic models under PI-regulator control Peer-Reviewed Journal Publication Δημοσίευση σε Περιοδικό με Κριτές 2017-11-132016enThis paper provides necessary conditions and sufficient conditions for the (global) input-to-state stability property of simple uncertain vehicular-traffic network models under the effect of a PI regulator. Local stability properties for vehicular-traffic networks under the effect of PI regulator control are studied as well: the region of attraction of a locally exponentially stable equilibrium point is estimated by means of Lyapunov functions. All obtained results are illustrated by means of simple examples.The research leading to these results has received funding from the European Research Council under the European Union's Seventh Framework Programme (FP/2007-2013) / ERC Grant Agreement n. 321132, project TRAMAN21.http://creativecommons.org/licenses/by-nc-nd/4.0/IMA Journal of Mathematical Control and Information332209-229Karafyllis_Papageorgiou_IMA JMCI_2016.pdfChania [Greece]Library of TUC2017-11-13application/pdf320.4 kBfree Karafyllis Iason Καραφυλλης Ιασων Papageorgiou Markos Παπαγεωργιου Μαρκος IMA - Press PI regulator Discrete-time systems Non-linear systems