Relevance of dynamic clustering to biological networks
Proceedings of the NATO advanced research workshop and EGS topical workshop on Chaotic advection, tracer dynamics and turbulent dispersion
Stability of Time-Delay Systems
Stability of Time-Delay Systems
On synchronization of coupled neural networks with discrete and unbounded distributed delays
International Journal of Computer Mathematics - COMPLEX NETWORKS
Local synchronization of a complex network model
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics - Special issue on human computing
New Delay-Dependent Exponential Stability for Neural Networks With Time Delay
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Global Synchronization in an Array of Delayed Neural Networks With Hybrid Coupling
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Stability analysis for stochastic Cohen-Grossberg neural networks with mixed time delays
IEEE Transactions on Neural Networks
Synchronization of nonidentical chaotic neural networks with time-varying delays
ISNN'11 Proceedings of the 8th international conference on Advances in neural networks - Volume Part I
Cluster synchronization for discrete-time complex networks
ISNN'11 Proceedings of the 8th international conference on Advances in neural networks - Volume Part I
Synchronization control of a class of memristor-based recurrent neural networks
Information Sciences: an International Journal
Advances in Artificial Neural Systems
Mathematical and Computer Modelling: An International Journal
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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.