Sampling-based event-triggered control for cluster synchronization in two-layer nonlinear networks

被引：0
作者：
Cheng Zhang
Chuan Zhang
Xianfu Zhang
Yi Liang
机构：
[1] Qufu Normal University,School of Mathematical Science
[2] Shandong University,School of Control Science and Engineering
[3] Yili Normal University,School of Network Security and Information Technology
来源：
Journal of Applied Mathematics and Computing | 2023年 / 69卷
关键词：
Cluster synchronization; Event-triggered control; Sampled-data control; Multi-layer networks; 34D06; 34H05; 93C57;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The cluster synchronization problem in a class of two-layer nonlinear networks via sampling-based event-triggered control scheme is considered in this paper. First, through a sector-like condition and the linear matrix inequalities (LMIs), a cluster synchronization criterion of the first layer is strictly given. Then, taking the average state of the corresponding subset of nodes in the first layer as the target, an event-triggered control protocol based on the sampled information is designed to synchronize the second layer to the first layer. By applying the time-delay system method and the event-triggered control principle, the sufficient condition for cluster synchronization of the second layer is obtained. In this process, an advanced Lyapunov functional, generalized Jensen’s inequality and convex combination method are exploited to reduce the conservation of the results. In addition, numerical example further verifies the feasibility and effectiveness of the proposed scheme.
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页码：3969 / 3986
页数：17
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