Distributed optimization of multiagent systems in directed networks with time-varying delay
type: Item
instance of: scholarly article
title: Distributed optimization of multiagent systems in directed networks with time-varying delay
zbMATH Open document ID: 1400.93018
DOI: 10.1155/2017/7937916
author: Junxiu Yan
author: H. Yu
published in: Journal of Control Science and Engineering
publication date: 2018-10-15T00:00:00Z
review text: Summary: This paper addresses a distributed consensus optimization problem of a first-order multiagent system with time-varying delay. A continuous-time distributed optimization algorithm is proposed. Different from most ways of solving distributed optimization problem, the Lyapunov-Razumikhin theorem is applied to the convergence analysis instead of the Lyapunov-Krasovskii functionals with LMI conditions. A sufficient condition for the control parameters is obtained to make all the agents converge to the optimal solution of the system. Finally, an example is given to validate the effectiveness of our theoretical result.
Mathematics Subject Classification ID: 93A14
Mathematics Subject Classification ID: 68T42
Mathematics Subject Classification ID: 90B18
Mathematics Subject Classification ID: 05C90
zbMATH DE Number: 6954284
zbMATH Keywords: directed networks
zbMATH Keywords: distributed consensus optimization
zbMATH Keywords: first-order multiagent system
zbMATH Keywords: time-varying delay
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/7937916
OpenAlex ID: W2602739120
Wikidata QID: Q59145633
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description: scientific article; zbMATH DE number 6954284