Synchronization for stochastic hybrid coupled controlled systems with Lévy noise
Synchronization for stochastic hybrid coupled controlled systems with Lévy noise
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DOI：
10.1002/mma.6624
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发表时间：
2020-07
影响因子：
2.9
通讯作者：
Hui Zhou;Yueying Li;Wenxue Li
中科院分区：
文献类型：
--
作者：
Hui Zhou;Yueying Li;Wenxue Li
研究了网络上带Lévy噪声的随机混合时滞耦合系统（SHDCLN）的非周期间歇控制同步问题.在这里，时间延迟，马尔可夫开关和Lévy噪声被认为是在一个网络上的第一次同时。然后，利用李雅普诺夫方法、图论和一些不等式技巧，得到了保证SHDCLN同步的充分条件。给出了非周期间歇控制器参数的设计范围。同时，耦合强度和噪声扰动强度对控制强度有很大影响。然后，作为理论结果的实际应用，我们研究了网络上具有Lévy噪声的随机混合延迟蔡氏电路的同步问题。最后，通过一个数值例子说明了理论结果的有效性.
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.