This paper is concerned with the finite-time synchronization problem for fractional-order complex dynamical networks (FCDNs) with intermittent control. Using the definition of Caputo’s fractional derivative and the properties of Beta function, the Caputo fractional-order derivative of the power function is evaluated. A general fractional-order intermittent differential inequality is obtained with fewer additional constraints. Then, the criteria are established for the finite-time convergence of FCDNs under intermittent feedback control, intermittent adaptive control and intermittent pinning control indicate that the setting time is related to order of FCDNs and initial conditions. Finally, these theoretical results are illustrated by numerical examples.

本文涉及具有间歇控制的分数阶复杂动力网络 (FCDN) 的有限时间同步问题。利用 Caputo 分数阶导数的定义和 Beta 函数的性质，计算了幂函数的 Caputo 分数阶导数。使用较少的附加约束获得一般的分数阶间歇微分不等式。然后，建立了在间歇反馈控制、间歇自适应控制和间歇钉扎控制下FCDN有限时间收敛的准则，表明设置时间与FCDN的阶数和初始条件有关。最后，通过数值例子说明了这些理论结果。