Consensus of fractional-order multiagent systems with nonuniform time delays
type: Item
instance of: scholarly article
title: Consensus of fractional-order multiagent systems with nonuniform time delays
zbMATH Open document ID: 1426.93011
DOI: 10.1155/2018/2850757
author: Jun Liu
author: Kaiyu Qin
author: Wei Chen
author: Ping Li
author: Mengji Shi
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: Due to the complex external environment, many multiagent systems cannot be precisely described or even cannot be described by an integer-order dynamical model and can only be described by a fractional-order dynamical model. In this paper, consensus problems are investigated for two types of fractional-order multiagent systems (FOMASs) with nonuniform time delays: FOMAS with symmetric time delays and undirected topology and FOMAS with asymmetric time delays and directed topology. Employing the Laplace transform and the frequency-domain theory, two delay margins are obtained to guarantee the consensus for the two types of FOMAS, respectively. These results are also suitable for the integer-order dynamical model. Finally, simulation results are provided to illustrate the effectiveness of our theoretical results.
Mathematics Subject Classification ID: 93A14
Mathematics Subject Classification ID: 34D06
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K37
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 93C23
zbMATH DE Number: 7018716
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/2850757
OpenAlex ID: W2784455192
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description: scientific article; zbMATH DE number 7018716