As multi-gene networks transmit signals and products by synchronous cooperation, investigating the synchronization of gene regulatory networks may help us to explore the biological rhythm and internal mechanisms at molecular and cellular levels. We aim to induce a type of fractional-order gene regulatory networks to synchronize at finite-time point by designing feedback controls. Firstly, a unique equilibrium point of the network is proved by applying the principle of contraction mapping. Secondly, some sufficient conditions for finite-time synchronization of fractional-order gene regulatory networks with time delay are explored based on two kinds of different control techniques and fractional Lyapunov function approach, and the corresponding setting time is estimated. Finally, some numerical examples are given to demonstrate the effectiveness of the theoretical results.

中文翻译：

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具有时间延迟的分数阶基因调控网络的有限时间同步。

由于多基因网络通过同步合作传递信号和产物，因此研究基因调控网络的同步性可能有助于我们在分子和细胞水平上探索生物学节律和内部机制。我们旨在通过设计反馈控制来诱导一种分数阶基因调控网络在有限时间点进行同步。首先，利用收缩映射原理证明了网络的唯一平衡点。其次，基于两种不同的控制技术和分数Lyapunov函数方法，探索了具有时滞的分数阶基因调控网络的有限时间同步的一些充分条件，并估计了相应的设定时间。最后，