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Global exponential stabilisation of acyclic traffic networks

Kontorinaki Maria, Karafyllis, Iasson, Papageorgiou Markos

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URIhttp://purl.tuc.gr/dl/dias/3ACE2DCC-8DA9-4FBF-B876-5D01BCCB4BEB-
Identifierhttps://www.tandfonline.com/doi/full/10.1080/00207179.2017.1362114?scroll=top&needAccess=true-
Identifierhttps://doi.org/10.1080/00207179.2017.1362114-
Languageen-
Extent22 pagesen
TitleGlobal exponential stabilisation of acyclic traffic networksen
CreatorKontorinaki Mariaen
CreatorΚοντορινακη Μαριαel
CreatorKarafyllis, Iassonen
CreatorPapageorgiou Markosen
CreatorΠαπαγεωργιου Μαρκοςel
PublisherTaylor & Francisen
Content SummaryThis work is devoted to the construction of explicit feedback control laws for the robust global exponential stabilisation of general uncertain discrete-time acyclic networks. We consider discrete-time uncertain network models, which satisfy very weak assumptions. The construction of the controllers and the rigorous proof of the robust global exponential stability for the closed-loop system are based on recently proposed vector-Lyapunov function criteria, as well as the fact that the network is acyclic. It is shown, in this study, that the latter requirement is necessary for the existence of a robust global exponential stabiliser of the desired uncongested equilibrium point of the network. Our main focus is on traffic networks and all assumptions are related to features appearing in traffic models. An illustrative example demonstrates the applicability of the obtained results to realistic traffic flow networks. en
Type of ItemPeer-Reviewed Journal Publicationen
Type of ItemΔημοσίευση σε Περιοδικό με Κριτέςel
Licensehttp://creativecommons.org/licenses/by/4.0/en
Date of Item2018-04-23-
Date of Publication2017-
SubjectAcyclic networksen
SubjectDiscrete-time systemsen
SubjectNonlinear systemsen
SubjectTraffic controlen
Bibliographic CitationM. Kontorinaki, I. Karafyllis and M. Papageorgiou, "Global exponential stabilisation of acyclic traffic networks," Int. J. Control, pp. 1-21, Aug. 2017. doi: 10.1080/00207179.2017.1362114en

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