In this paper, the exponential synchronization problem for fractional-order T–S fuzzy complex multi-links networks under an intermittent dynamic event-triggered control (IDE-TC) strategy is discussed. To this end, a new triggering rule with a dynamical variable is first introduced, including some available static triggering rules as its particular form. Then, it is proved that the applied dynamical variable is positive by using some properties of the Mittag-Leffler function. Hence, the inter-event time between any two successive triggering moments can be enlarged than static event-triggered results. Additionally, there is a guaranteed positive minimum inter-event time for each sample path solution of systems. Based on the Lyapunov method and the graph theory, exponential synchronization criteria of the proposed networks under the IDE-TC strategy is deduced. Finally, the validity and feasibility of the derived theoretical results are investigated by an application with simulations.

中文翻译：

---

分数阶 T-S 模糊复杂多链路网络与间歇性动态事件触发控制的指数同步


该文讨论了间歇性动态事件触发控制 （IDE-TC） 策略下分数阶 T-S 模糊复杂多链路网络的指数同步问题。为此，首先引入了一个带有 dynamical 变量的新触发规则，包括一些可用的 static triggering rules 作为其特定形式。然后，利用 Mittag-Leffler 函数的一些性质证明所应用的动态变量为正。因此，任何两个连续触发时刻之间的事件间时间可以比静态事件触发结果更大。此外，对于系统的每个采样路径解决方案，有一个保证的最小正事件间时间。基于Lyapunov方法和图论，推导了IDE-TC策略下所提网络的指数同步准则。最后，通过仿真应用程序研究了所推导的理论结果的有效性和可行性。