Pinning control of complex networks with unbounded time-varying delays

Xiwei Liu, Yuan Xu · 2015

The pinning control problem of directed complex dynamical networks with unbounded time-varying delays is investigated in this paper. Previous related works investigate the synchronization without any external control; while in this paper, external pinning control is added on the network, and this is the main difference between this paper and previous works. In order to realize the synchronization, we design a simple controller to pin the network. Some sufficient criteria are deduced from the method of linear matrix inequality (LMI). Finally, the correct of our theoretical results is verified by numerical examples.

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