Periodic event-triggered condition design for the consensus of multiagent systems with communication delays
type: Item
instance of: scholarly article
title: Periodic event-triggered condition design for the consensus of multiagent systems with communication delays
zbMATH Open document ID: 1400.93192
DOI: 10.1155/2016/3408152
author: Feng Zhou
author: Zhiwu Huang
author: Weirong Liu
author: Liran Li
author: Kai Gao
published in: Mathematical Problems in Engineering
publication date: 2018-10-12T00:00:00Z
review text: Summary: This paper focuses on the periodic event-triggered consensus problem for multiagent systems under undirected graph. In the periodic event-triggered control, the event condition is tested only periodically to decide when to exert the control behaviors and when to broadcast the sampling data. Two sets of event-triggered strategies combining with sampled-data control are designed based on an exponential decay function and a quadratic Lyapunov function, respectively. Some useful theorems for these two periodic event-triggered strategies about the choice of period are derived to guarantee the asymptotical stability of the closed-loop multiagent systems. In addition, this paper gives a sufficient condition about the bounds of communication delay for the multiagent systems. It is rigorously proved that the overall system will achieve the consensus under the proposed strategy if the period and time delay satisfy the theorems. Finally, we extend these solutions to general linear dynamical systems. Simulation results are presented to show the effectiveness.
Mathematics Subject Classification ID: 93C65
Mathematics Subject Classification ID: 93C57
Mathematics Subject Classification ID: 93D20
zbMATH DE Number: 6953049
Wikidata QID: Q59130856
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/3408152
OpenAlex ID: W2409887354
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description: scientific article; zbMATH DE number 6953049