Cluster Synchronization on Multiple Nonlinearly Coupled Dynamical Subnetworks of Complex Networks With Nonidentical Nodes

In this paper, cluster synchronization on multiple nonlinearly coupled dynamical subnetworks of complex networks with nonidentical nodes and stochastic perturbations is studied. Based on the general leader-follower's model, an improved network structure model that consists of multiple pairs of...

Full description

Saved in:
Bibliographic Details
Published in:IEEE transaction on neural networks and learning systems 2017-03, Vol.28 (3), p.570-583
Main Authors: Zhou, Lili, Wang, Chunhua, Du, Sichun, Zhou, Ling
Format: Article
Language:English
Subjects:
Adaptive control
Clusters
Complex networks
Computer simulation
Controllers
Couplings
Delays
Exponential convergence
hybrid control
Learning systems
Matching
Mathematical models
multiple dynamical subnetworks of complex networks
Networks
Nodes
nonidentical nodes
nonlinear coupling
Numerical simulation
Pinning
Stochastic processes
Stochasticity
Synchronism
Synchronization
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, cluster synchronization on multiple nonlinearly coupled dynamical subnetworks of complex networks with nonidentical nodes and stochastic perturbations is studied. Based on the general leader-follower's model, an improved network structure model that consists of multiple pairs of matching subnetworks, each of which includes a leaders' subnetwork and a followers' subnetwork, is proposed. Moreover, the dynamical behaviors of the nodes belonging to the same pair of matching subnetworks are identical, while the ones belonging to different pairs of unmatched subnetworks are nonidentical. In this new setting, the aim is to design some suitable adaptive pinning controllers on the chosen nodes of each followers' subnetwork, such that the nodes in each subnetwork can be exponentially synchronized onto their reference state. Then, some cluster synchronization criteria for multiple nonlinearly coupled dynamical subnetworks of complex networks are established, and a pinning control scheme that the nodes with very large or low degrees are good candidates for applying pinning controllers is presented. Suitable adaptive update laws are used to deal with the unknown feedback gains between the pinned nodes and their leaders. Finally, several numerical simulations are given to demonstrate the effectiveness and applicability of the proposed approach.
ISSN:2162-237X
2162-2388
DOI:10.1109/TNNLS.2016.2547463