Journal
NEURAL NETWORKS
Volume 22, Issue 4, Pages 335-342Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.neunet.2009.03.006
Keywords
Cluster synchronization; Lyapunov-Krasovskii function; Linear matrix inequality (LMI); Delayed neural network; Hybrid coupling
Funding
- National Natural Science Foundation of China [60874088]
- 333 Project of Jiangsu Province of China
- Doctoral Program of Higher Education [20070286003]
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This paper investigates cluster synchronization in an array of hybrid coupled neural networks with delay. By constructing a special coupling matrix, a new method is proposed to realize cluster synchronization. In particular, the coupling configuration matrix is not assumed to be symmetric or irreducible and the inner coupling matrix is not assumed to be diagonal or positive definite. Moreover, several sufficient conditions for Cluster synchronization are derived, based on Lyapunov stability theory and the linear matrix inequality (LMI) technique. Finally, an example is given to demonstrate the effectiveness of the theoretical results. (C) 2009 Elsevier Ltd. All rights reserved.
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