Abstract | ||
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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 |
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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 |
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Xiwei Liu | 1 | 652 | 40.95 |
Tianping Chen | 2 | 3095 | 250.77 |