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Stability analysis of nonlinear inviscid microscopic and macroscopic traffic flow models of bidirectional cruise-controlled vehicles

Karafyllis Iason, Theodosis Dionysios, Papageorgiou Markos

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URIhttp://purl.tuc.gr/dl/dias/2FDCAB58-B1A7-4F5C-B3D6-40FA166A7DDB-
Αναγνωριστικόhttps://doi.org/10.1093/imamci/dnac003-
Αναγνωριστικόhttps://academic.oup.com/imamci/article/39/2/609/6562948-
Γλώσσαen-
ΤίτλοςStability analysis of nonlinear inviscid microscopic and macroscopic traffic flow models of bidirectional cruise-controlled vehiclesen
ΔημιουργόςKarafyllis Iasonen
ΔημιουργόςΚαραφυλλης Ιασωνel
ΔημιουργόςTheodosis Dionysiosen
ΔημιουργόςΘεοδοσης-Παλημερης Διονυσιοςel
ΔημιουργόςPapageorgiou Markosen
ΔημιουργόςΠαπαγεωργιου Μαρκοςel
ΕκδότηςOxford University Pressen
ΠεριγραφήThe 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.en
ΠερίληψηThe paper introduces a new bidirectional microscopic inviscid Adaptive Cruise Control (ACC) model that uses only spacing information from the preceding and following vehicles in order to select the proper control action to avoid collisions and maintain a desired speed. KL estimates that guarantee uniform convergence of the ACC model to the set of equilibria are provided. Moreover, the corresponding macroscopic model is derived, consisting of a conservation equation and a momentum equation that contains a nonlinear relaxation term. It is shown that, if the density is sufficiently small, then the macroscopic model has a solution that approaches exponentially the equilibrium speed (in the sup norm) while the density converges exponentially to a traveling wave. Numerical simulations are also provided, illustrating the properties of the microscopic and macroscopic inviscid ACC models.en
ΤύποςPeer-Reviewed Journal Publicationen
ΤύποςΔημοσίευση σε Περιοδικό με Κριτέςel
Άδεια Χρήσηςhttp://creativecommons.org/licenses/by-nc-nd/4.0/en
Ημερομηνία2022-07-13-
Ημερομηνία Δημοσίευσης2022-
Θεματική ΚατηγορίαBidirectional adaptive cruise controlen
Θεματική ΚατηγορίαAutonomous vehiclesen
Θεματική ΚατηγορίαLyapunov functionsen
Βιβλιογραφική ΑναφοράI. Karafyllis, D. Theodosis, and M. Papageorgiou, “Stability analysis of nonlinear inviscid microscopic and macroscopic traffic flow models of bidirectional cruise-controlled vehicles,” IMA J. Math. Control Info., vol. 39, no. 2, pp. 609–642, June 2022, doi: 10.1093/imamci/dnac003.en

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