In this paper, we investigate finite-time synchronization for a class of delayed dynamic networks with hybrid coupling via aperiodically intermittent control. First, more general models of dynamic networks with transmission delay and self-feedback delay are given. Second, a lemma with a newly added parameter is proposed to ensure finite-time synchronization of dynamic networks via an aperiodically intermittent control scheme, in which the newly added parameter can make the convergence time shorter. Third, by constructing a novel piecewise Lyapunov function and applying linear matrix inequality technique, some sufficient conditions ensuring finite-time synchronization for delayed dynamic networks are obtained. Moreover, the convergence time is affected by some decision parameters besides the newly added parameter, one of which is a maximum uncontrolled ratio generated by the definition of aperiodic intermittent control itself. Finally, a numerical example is presented to verify its validity and rationality.

中文翻译：

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非周期性间歇控制的混合耦合时滞动态网络的有限时间同步

在本文中，我们研究了一类具有非周期性间歇控制的混合耦合时滞动态网络的有限时间同步。首先，给出了具有传输延迟和自反馈延迟的动态网络的更一般模型。其次，提出了具有新增加的参数的引理，以通过非周期性间歇控制方案来确保动态网络的有限时间同步，其中新增加的参数可以使收敛时间更短。第三，通过构造新颖的分段Lyapunov函数并应用线性矩阵不等式技术，获得了一些足以确保时滞动态网络有限时间同步的条件。此外，收敛时间还受新添加的参数以外的一些决策参数的影响，其中之一是非周期性间歇控制本身的定义所产生的最大不受控制比率。最后，通过数值例子验证了其有效性和合理性。