Brief paper: Novel decentralized adaptive strategies for the synchronization of complex networks

Authors:
Pietro DeLellis;Mario diBernardo;Francesco Garofalo
Affiliations:
Department of Systems and Computer Science, University of Naples Federico II, Naples 80125, Italy;Department of Systems and Computer Science, University of Naples Federico II, Naples 80125, Italy;Department of Systems and Computer Science, University of Naples Federico II, Naples 80125, Italy
Venue:
Automatica (Journal of IFAC)
Year:
2009

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Abstract

This paper is concerned with the analysis of the synchronization of networks of nonlinear oscillators through an innovative local adaptive approach. In particular, time-varying feedback coupling gains are considered, whose gradient is a function of the local synchronization error over each edge in the network. It is shown that, under appropriate conditions, the strategy is indeed successful in guaranteeing the achievement of a common synchronous evolution for all oscillators in the network. The theoretical derivation is complemented by its validation on a set of representative examples.