Finite-Time Cluster Synchronization of Network Systems under Pinning Control

Yanzhou Li, Shenghuang He, Yuanqing Wu, Yongkang Lu · 2020

The paper investigates the finite-time cluster synchronization problem of network systems via pinning control. Combined with finite-time stability theory and Lyapunov method, some sufficient criteria on finite-time cluster synchronization are derived. It is proved that the network systems can achieve cluster synchronization by appropriately designing the controller parameters. The validity of the theoretical analysis is verified by numerical examples.

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