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Τίτλος: On the emergence of oscillations in distributed resource allocation
Συγγραφείς: Holding, Thomas 
Lestas, Ioannis 
Major Field of Science: Engineering and Technology
Field Category: Electrical Engineering - Electronic Engineering - Information Engineering
Λέξεις-κλειδιά: Nonlinear systems;Optimization;Stability;Networks;Resource allocation
Ημερομηνία Έκδοσης: 1-Νοε-2017
Πηγή: Automatica, 2017, vol. 85, pp. 22-33
Volume: 85
Start page: 22
End page: 33
Περιοδικό: Automatica 
Περίληψη: We consider the problem of resource allocation in a decentralised market where users and suppliers trade for a single commodity. Due to the lack of strict concavity, convergence to the optimal solution by means of classical gradient type dynamics for the prices and demands, is not guaranteed. In the paper we explicitly characterise in this case the asymptotic behaviour of trajectories and provide an exact characterisation of the limiting oscillatory solutions. Methods of modifying the dynamics are also given, such that convergence to an optimal solution is guaranteed, without requiring additional information exchange among the users.
URI: https://hdl.handle.net/20.500.14279/10557
ISSN: 00051098
DOI: 10.1016/j.automatica.2017.07.022
Rights: © Elsevier
Type: Article
Affiliation: Cyprus University of Technology 
University of Warwick 
University of Cambridge 
Publication Type: Peer Reviewed
Εμφανίζεται στις συλλογές:Άρθρα/Articles

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