URI | http://purl.tuc.gr/dl/dias/2FDCAB58-B1A7-4F5C-B3D6-40FA166A7DDB | - |
Αναγνωριστικό | https://doi.org/10.1093/imamci/dnac003 | - |
Αναγνωριστικό | https://academic.oup.com/imamci/article/39/2/609/6562948 | - |
Γλώσσα | en | - |
Τίτλος | Stability analysis of nonlinear inviscid microscopic and macroscopic traffic flow models of bidirectional cruise-controlled vehicles | en |
Δημιουργός | Karafyllis Iason | en |
Δημιουργός | Καραφυλλης Ιασων | el |
Δημιουργός | Theodosis Dionysios | en |
Δημιουργός | Θεοδοσης-Παλημερης Διονυσιος | el |
Δημιουργός | Papageorgiou Markos | en |
Δημιουργός | Παπαγεωργιου Μαρκος | el |
Εκδότης | Oxford University Press | en |
Περιγραφή | 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. | en |
Περίληψη | The 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 |
Τύπος | Peer-Reviewed Journal Publication | en |
Τύπος | Δημοσίευση σε Περιοδικό με Κριτές | el |
Άδεια Χρήσης | http://creativecommons.org/licenses/by-nc-nd/4.0/ | en |
Ημερομηνία | 2022-07-13 | - |
Ημερομηνία Δημοσίευσης | 2022 | - |
Θεματική Κατηγορία | Bidirectional adaptive cruise control | en |
Θεματική Κατηγορία | Autonomous vehicles | en |
Θεματική Κατηγορία | Lyapunov functions | en |
Βιβλιογραφική Αναφορά | I. 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 |