Finite-time cluster synchronization of complex networks with time-varying delays
Xiwei Liu, Shaohua Li · 2016
In this paper, we study the finite-time cluster synchronization of complex networks with time delays. There are two different types of time-varying delays in the network: the internal time delay and the coupling delay. What's more, we assume that coupling time-varying delays exist only between nodes in different clusters, while no delay happens between nodes in the same cluster, which is more consistent with the real world. Based on the Lyapunov stability theorem, sufficient conditions are derived to guarantee the realization of the finite-time cluster synchronization. Finally, numerical simulations are provided to support the obtained theoretical results.