In this paper, the exponential synchronization of fractional-order multi-links complex dynamical networks (CDNs) is studied based on non-periodically intermittent control. By means of the Lyapunov method and graph-theoretic approach, a Lyapunov-type theorem is provided based on the existence of vertex-Lyapunov functions. Then by giving the specific vertex-Lyapunov functions, a coefficients-type theorem is presented where the conditions of it are based on the coefficients of system. Moreover, to show the practicality of theoretical results, we give two applications to fractional-order chaotic CDNs with multiple links and fractional-order Hindmarsh–Rose neuron systems with multiple links, respectively. Meanwhile, two numerical examples are given to demonstrate the validity and feasibility of the theoretical results.

在本文中，基于非周期性间歇控制研究了分数阶多链路复杂动态网络（CDN）的指数同步。利用李亚普诺夫方法和图论方法，基于顶点-李雅普诺夫函数的存在性，给出了一个李亚普诺夫型定理。然后通过给出具体的顶点-Lyapunov函数，给出了一个系数型定理，其条件是基于系统的系数。此外，为了展示理论结果的实用性，我们分别给出了具有多个链接的分数阶混沌 CDN 和具有多个链接的分数阶 Hindmarsh-Rose 神经元系统的两个应用。同时，给出了两个数值算例，论证了理论结果的有效性和可行性。