Global exponential stability for discrete-time networks with applications to traffic networks
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Ημερομηνία
2015
Συγγραφείς
Karafyllis Iason
Καραφυλλης Ιασων
Papageorgiou Markos
Παπαγεωργιου Μαρκος
Τίτλος Εφημερίδας
Περιοδικό ISSN
Τίτλος τόμου
Εκδότης
Institute of Electrical and Electronics Engineers
Περίληψη
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.
Περιγραφή
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.
Λέξεις-κλειδιά
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
Παραπομπή
I. 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.