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Stability analysis of nonlinear inviscid traffic flow models of bidirectional cruise controlled vehicles

Karafyllis Iason, Theodosis Dionysios, Papageorgiou Markos

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URIhttp://purl.tuc.gr/dl/dias/E0602DED-C49E-4092-BCC7-C8C73694B123-
Identifierhttps://doi.org/10.23919/ACC53348.2022.9867663-
Identifierhttps://ieeexplore.ieee.org/document/9867663-
Languageen-
Extent6 pagesen
TitleStability analysis of nonlinear inviscid traffic flow models of bidirectional cruise controlled vehiclesen
CreatorKarafyllis Iasonen
CreatorΚαραφυλλης Ιασωνel
CreatorTheodosis Dionysiosen
CreatorΘεοδοσης-Παλημερης Διονυσιοςel
CreatorPapageorgiou Markosen
CreatorΠαπαγεωργιου Μαρκοςel
PublisherInstitute of Electrical and Electronics Engineersen
Content SummaryThe 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. Class 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.en
Type of ItemΠλήρης Δημοσίευση σε Συνέδριοel
Type of ItemConference Full Paperen
Licensehttp://creativecommons.org/licenses/by-nc-nd/4.0/en
Date of Item2022-12-30-
Date of Publication2022-
SubjectNonlinear inviscid traffic flow modelsen
SubjectStability analysisen
Bibliographic CitationI. Karafyllis, D. Theodosis and M. Papageorgiou, "Stability analysis of nonlinear inviscid traffic flow models of bidirectional cruise controlled vehicles," in 2022 American Control Conference (ACC), 2022, pp. 1042-1047, doi: 10.23919/ACC53348.2022.9867663.en

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