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Random adaptive control for cluster synchronization of complex networks with distinct communities

journal contribution
posted on 2016-03-01, 00:00 authored by Z Tang, J H Park, T H Lee, J Feng
In this paper, we investigate the cluster synchronization for complex networks with time-varying delayed couplings, stochastic disturbance, and non-identical nodes in different clusters. Based on randomly occurring controllers, some Bernoulli stochastic variables are introduced to describe the controllers, then, a fraction of nodes in clusters, which have direct connections to the other clusters, is controlled, and the states of the whole dynamical networks can be globally forced to the objective cluster states. Sufficient conditions are derived to guarantee the realization of the mean square cluster synchronization pattern for all initial values by means of Lyapunov stability theory, Itô differential formula, and LMI approach. Besides, by designing the randomly occurring adaptive update law, some suitable control gains are obtained. Finally, numerical simulations are also given to demonstrate the effectiveness and validity of the main result.

History

Journal

International Journal of Adaptive Control and Signal Processing

Volume

30

Issue

3

Pagination

534 - 549

ISSN

0890-6327

eISSN

1099-1115

Publication classification

C1.1 Refereed article in a scholarly journal

Copyright notice

2015 John Wiley & Sons