In this paper, synchronization for stochastic hybrid‐delayed coupled systems with Lévy noise on a network (SHDCLN) is investigated via aperiodically intermittent control. Here time delays, Markovian switching and Lévy noise are considered on a network simultaneously for the first time. After that, by means of Lyapunov method, graph theory, and some techniques of inequality, some sufficient conditions are derived to guarantee the synchronization for SHDCLN. In addition, the designed range of aperiodically intermittent controller parameters is shown. Meanwhile, the coupling strength and the perturbed intensity of noise have a great impact on the intensity of control. Then, we investigate synchronization for stochastic hybrid delayed Chua's circuits with Lévy noise on a network as a practical application of our theoretical results. Finally, a numerical example is given to illustrate the effectiveness of the theoretical results.

中文翻译：

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具有Lévy噪声的随机混合耦合受控系统的同步

在本文中，通过非周期性间歇控制研究了具有Lévy噪声的随机混合时滞耦合系统在网络上的同步（SHDCLN）。在此，首次同时在网络上考虑时间延迟，马尔可夫切换和列维噪声。之后，利用李雅普诺夫方法，图论和一些不等式，推导了一些足以保证SHDCLN同步的条件。此外，还显示了非周期性间歇控制器参数的设计范围。同时，耦合强度和噪声的扰动强度对控制强度有很大的影响。然后，我们研究了具有Lévy噪声的随机混合延迟Chua电路在网络上的同步，这是我们理论结果的实际应用。最后，