ABSTRACT

In previous work, the synchronization of multi-links systems with Lévy noise (MLSLN) has not been fully investigated. Therefore, the synchronization of MLSLN is concerned via feedback discrete-time observations control. Therein, we provide a novel Lyapunov functional for MLSLN. Moreover, the upper bound of the state observations interval duration is obtained. By making use of Lyapunov functional method, some techniques of inequality and graph theory, we derive some sufficient conditions to guarantee the mean-squared asymptotical synchronization of MLSLN. Then, the theoretical results are employed to study the synchronization of single-link robot arms. Meantime, numerical simulations are given to demonstrate the effectiveness of the developed results.

摘要

在以前的工作中，具有 Lévy 噪声 (MLSLN) 的多链路系统的同步尚未得到充分研究。因此，MLLSN 的同步是通过反馈离散时间观测控制来实现的。其中，我们为 MLSLN 提供了一种新的 Lyapunov 函数。此外，获得了状态观察间隔持续时间的上限。利用Lyapunov泛函方法、不等式和图论技术，我们推导出了保证MLLSN均方渐近同步的充分条件。然后，利用理论结果对单连杆机械臂的同步进行了研究。同时，给出数值模拟以证明所开发结果的有效性。