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Adaptive synchronization of complex networks


De Lellis, C; Di Bernardo, M; Sorrentino, F; Tierno, A (2008). Adaptive synchronization of complex networks. International Journal of Computer Mathematics, 85(8):1189-1218.

Abstract

The aim of this paper is to propose and validate numerically a set of novel adaptive strategies for synchronization and consensus of complex networks of dynamical systems. We present both centralized and decentralized strategies where the adaptation law is based on, respectively, global and local information at the network nodes. All the proposed adaptive techniques are then validated using computer simulations on ensembles of two types of oscillators: Kuramoto and Roumlssler. We show that, in both cases, synchronization can be achieved with the adaptive gains reaching asymptotically finite steady-state values.

Abstract

The aim of this paper is to propose and validate numerically a set of novel adaptive strategies for synchronization and consensus of complex networks of dynamical systems. We present both centralized and decentralized strategies where the adaptation law is based on, respectively, global and local information at the network nodes. All the proposed adaptive techniques are then validated using computer simulations on ensembles of two types of oscillators: Kuramoto and Roumlssler. We show that, in both cases, synchronization can be achieved with the adaptive gains reaching asymptotically finite steady-state values.

Citations

23 citations in Web of Science®
32 citations in Scopus®
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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:August 2008
Deposited On:14 Jan 2009 09:54
Last Modified:05 Apr 2016 12:38
Publisher:Taylor & Francis
ISSN:0020-7160
Publisher DOI:https://doi.org/10.1080/00207160701704580
Related URLs:http://www.ams.org/mathscinet-getitem?mr=2442564

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