Global exponential stability for discrete-time networks with applications to traffic networksGlobal exponential stability for discrete-time networks with applications to traffic networks Peer-Reviewed Journal Publication Δημοσίευση σε Περιοδικό με Κριτές 2015-03-232015enThis 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.The 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.http://creativecommons.org/licenses/by-nc-nd/4.0/IEEE Transactions on Control of Network SystemsKarafyllis_and_Papageorgiou_TCNS_2(1)_2015.pdfChania [Greece]Library of TUC2015-03-23application/pdf291.8 kBfree Karafyllis Iason Καραφυλλης Ιασων Papageorgiou Markos Παπαγεωργιου Μαρκος Institute of Electrical and Electronics Engineers DES (System analysis) Discrete event systems Sampled-data systems discrete time systems des system analysis discrete event systems sampled data systems Systems, Nonlinear nonlinear systems systems nonlinear Traffic networks