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Cluster synchronization of nonlinearly-coupled complex networks with nonidentical nodes and asymmetrical coupling matrix. (English) Zbl 1242.93009
Summary: In this paper, we investigate the cluster synchronization problem for networks with nonlinearly coupled non-identical dynamical systems and asymmetrical coupling matrix by using pinning control. We derive sufficient conditions for cluster synchronization for any initial values through a feedback scheme and propose an adaptive feedback algorithm that adjusts the coupling strength. Some numerical examples are then given to illustrate the theoretical results.

93A15Large scale systems
93C10Nonlinear control systems
93B52Feedback control
Full Text: DOI
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