The synchronization problem for complex networks with time-varying delays of unknown bound is investigated in this paper. From the impulsive control point of view, a novel delayed impulsive differential inequality is proposed, where the bounds of time-varying delays in continuous dynamic and discrete dynamic are both unknown. Based on the inequality, a class of delayed impulsive controllers is designed to achieve the synchronization of complex networks, where the restriction between impulses interval and time-varying delays is dropped. A numerical example is presented to illustrate the effectiveness of the obtained results.

中文翻译：

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通过延迟脉冲控制实现未知边界随时间变化的复杂网络的同步。

研究了具有未知边界时变时延的复杂网络的同步问题。从脉冲控制的角度出发，提出了一种新型的时滞脉冲微分不等式，其中连续动态和离散动态的时变时延都未知。基于不等式，设计了一类延迟脉冲控制器来实现复杂网络的同步，在复杂网络中，脉冲间隔和时变延迟之间的限制被消除。数值例子说明了所获得结果的有效性。