Event-Triggered Control for Intra/Inter-Layer Synchronization and Quasi-Synchronization in Two-Layer Coupled Networks

Cheng Zhang, Chuan Zhang (), Fanwei Meng and Yi Liang
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Cheng Zhang: School of Mathematical Science, Qufu Normal University, Qufu 273165, China
Chuan Zhang: School of Mathematical Science, Qufu Normal University, Qufu 273165, China
Fanwei Meng: School of Mathematical Science, Qufu Normal University, Qufu 273165, China
Yi Liang: School of Network Security and Information Technology, Yili Normal University, Yining 835000, China

Mathematics, 2023, vol. 11, issue 6, 1-15

Abstract: This paper studies the intra/inter-layer synchronization and quasi-synchronization in two-layer coupled networks via event-triggered control, in which different layers have mutually independent topologies. First, based on Lyapunov stability theory and event-triggered thoughts, hybrid controllers are designed, respectively, for intra-layer synchronization (ALS) and inter-layer synchronization (RLS). Second, a novel event-triggered rule is proposed, under which intra-layer quasi-synchronization (ALQS) and inter-layer quasi-synchronization (RLQS) can be respectively realized, and the event-triggered frequency can be greatly reduced. Moreover, the upper bound of the synchronization error can be flexibly adjusted by changing the parameters in event-triggered conditions, and the Zeno phenomenon about event-triggered control is also discussed in this paper. Finally, numerical examples are provided to confirm the correctness and validity of the proposed scheme.

Keywords: multi-layer networks; event-triggered control; intra-layer synchronization; inter-layer synchronization; quasi-synchronization (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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