Adaptive synchronization of complex networks

Authors:
P. De Lellis;M. Di Bernardo;F. Sorrentino;A. Tierno
Affiliations:
Department of Computer and Systems Engineering, Universita di Napoli Federico II, Napoli, Italy;Department of Computer and Systems Engineering, Universita di Napoli Federico II, Napoli, Italy;Department of Computer and Systems Engineering, Universita di Napoli Federico II, Napoli, Italy;Department of Computer and Systems Engineering, Universita di Napoli Federico II, Napoli, Italy
Venue:
International Journal of Computer Mathematics - COMPLEX NETWORKS
Year:
2008

Citing 1
Cited 3

The Structure and Dynamics of Networks: (Princeton Studies in Complexity)

The Structure and Dynamics of Networks: (Princeton Studies in Complexity)

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

Automatica (Journal of IFAC)
Synchronization and control of complex networks via contraction, adaptation and evolution

IEEE Circuits and Systems Magazine - Special issue on complex networks applications in circuits and systems
On pinning synchronization of directed and undirected complex dynamical networks

IEEE Transactions on Circuits and Systems Part I: Regular Papers

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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 Rossler. We show that, in both cases, synchronization can be achieved with the adaptive gains reaching asymptotically finite steady-state values.