Synchronization for singularity-perturbed complex networks via event-triggered impulsive control
type: Item
instance of: scholarly article
title: Synchronization for singularity-perturbed complex networks via event-triggered impulsive control
zbMATH Open document ID: 1505.93208
author: Kun Liang
author: Wangli He
author: Yang Yuan
author: Liyu Shi
published in: Discrete and Continuous Dynamical Systems. Series S
publication date: 2022-10-25T00:00:00Z
review text: In this paper singularly perturbed complex networks are studied. Event-triggered impulsive control synchronization is applied to such networks. An \(\varepsilon\)-dependent impulsive gain is designed by the authors which is subject to the two-timescale characteristics. The impulsive sequence is determined by the designed triggering condition. The event-triggered mechanism based on the \(\varepsilon\)-dependent Lyapunov function is designed as well. As a result, the next triggering instant is dynamically adjusted according to the value of the auxiliary impulsive parameter at the last triggering instant, which effectively reduces the number of triggering times. Numerical simulations of two examples are provided in order to illustrate the obtained theoretical results.
reviewed by: Angela Slavova
Mathematics Subject Classification ID: 93D23
Mathematics Subject Classification ID: 93D50
Mathematics Subject Classification ID: 93C65
Mathematics Subject Classification ID: 93C27
Mathematics Subject Classification ID: 93C70
Mathematics Subject Classification ID: 93B70
Mathematics Subject Classification ID: 93C30
zbMATH DE Number: 7606753
zbMATH Keywords: event-triggered impulsive control
zbMATH Keywords: singularity-perturbed complex networks
zbMATH Keywords: synchronization
zbMATH Keywords: two-timescale characteristic
zbMATH Keywords: hybrid system
MaRDI profile type: Publication
full work available at URL: dcdss.2022068
OpenAlex ID: W4220687605
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DOI: 10.3934/DCDSS.2022068
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description: scientific article; zbMATH DE number 7606753