Title
Cluster synchronization in directed networks via intermittent pinning control.
Abstract
In this paper, we investigate the cluster synchronization problem for linearly coupled networks, which can be recurrently connected neural networks, cellular neural networks, Hodgkin-Huxley models, Lorenz chaotic oscillators, etc., by adding some simple intermittent pinning controls. We assume the nodes in the network to be identical and the coupling matrix to be asymmetric. Some sufficient conditions to guarantee global cluster synchronization are presented. Furthermore, a centralized adaptive intermittent control is introduced and theoretical analysis is provided. Then, by applying the adaptive approach on the diagonal submatrices of the asymmetric coupling matrix, we also get the corresponding cluster synchronization result. Finally, numerical simulations are given to verify the theoretical results.
Year
DOI
Venue
2011
10.1109/TNN.2011.2139224
IEEE Transactions on Neural Networks
Keywords
Field
DocType
directed networks via intermittent,asymmetric coupling matrix,recurrently connected neural network,adaptive approach,pinning control,simple intermittent pinning control,corresponding cluster synchronization result,cluster synchronization problem,cellular neural network,coupling matrix,cluster synchronization,global cluster synchronization,centralized adaptive intermittent control,symmetric matrices,consensus,cluster analysis,synchronisation,cellular neural networks,oscillators,neural network,adaptive control,nonlinear dynamics,adaptive system,computer simulation,oscillations,adaptive,couplings,systems theory,hodgkin huxley model,adaptive systems,neural networks,synchronization
Synchronization,Control theory,Computer science,Symmetric matrix,Adaptive control,Artificial neural network,Cellular neural network,Intermittent control,Diagonal matrix,Block matrix
Journal
Volume
Issue
ISSN
22
7
1941-0093
Citations 
PageRank 
References 
40
1.60
16
Authors
2
Name
Order
Citations
PageRank
Xiwei Liu165240.95
Tianping Chen23095250.77