Karafyllis IasonΚαραφυλλης ΙασωνPapageorgiou MarkosΠαπαγεωργιου Μαρκος2024-10-312024-10-3120152015-03-23I. 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.https://dspace.library.tuc.gr/handle/123456789/382The 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.This 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.enhttp://creativecommons.org/licenses/by-nc-nd/4.0/DES (System analysis)Discrete event systemsSampled-data systemsdiscrete time systemsdes system analysisdiscrete event systemssampled data systemsSystems, Nonlinearnonlinear systemssystems nonlinearTraffic networksPeer-Reviewed Journal Publication