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Global exponential stability for discrete-time networks with applications to traffic networks

Karafyllis Iason, Papageorgiou Markos

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URIhttp://purl.tuc.gr/dl/dias/7837D167-81E0-4BB8-846D-67E9022A3510-
Identifierhttps://doi.org/10.1109/TCNS.2014.2367364 -
Languageen-
TitleGlobal exponential stability for discrete-time networks with applications to traffic networksen
CreatorKarafyllis Iasonen
CreatorΚαραφυλλης Ιασωνel
CreatorPapageorgiou Markosen
CreatorΠαπαγεωργιου Μαρκοςel
PublisherInstitute of Electrical and Electronics Engineersen
DescriptionThe 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. The paper has been published by IEEE (http://ieeexplore.ieee.org/Xplore/defdeny.jsp?url=http%3A%2F%2Fieeexplore.ieee.org%2Fstamp%2Fstamp.jsp%3Ftp%3D%26arnumber%3D6954406&denyReason=-134&arnumber=6954406&productsMatched=null) and is IEEE copyrighted.en
Content SummaryThis paper provides sufficient conditions for global asymptotic stability and global exponential stability, which can be applied to nonlinear, large-scale, uncertain discrete-time networks. The conditions are derived by means of vector Lyapunov functions. The obtained results are applied to traffic networks for the derivation of sufficient conditions of global exponential stability of the uncongested equilibrium point of the network. Specific results and algorithms are provided for freeway traffic models. Various examples illustrate the applicability of the obtained results.en
Type of ItemPeer-Reviewed Journal Publicationen
Type of ItemΔημοσίευση σε Περιοδικό με Κριτέςel
Licensehttp://creativecommons.org/licenses/by-nc-nd/4.0/en
Date of Item2015-03-23-
Date of Publication2015-
SubjectDES (System analysis)en
SubjectDiscrete event systemsen
SubjectSampled-data systemsen
Subjectdiscrete time systemsen
Subjectdes system analysisen
Subjectdiscrete event systemsen
Subjectsampled data systemsen
SubjectSystems, Nonlinearen
Subjectnonlinear systemsen
Subjectsystems nonlinearen
SubjectTraffic networksen
Bibliographic CitationI. Karafyllis, M. Papageorgiou, "Global exponential stability for discrete-time networks with applications to traffic networks," IEEE Transactions on Control of Network Systems, vol.2, no.1, pp.68-77, 2015.en

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