Consensus of fractional-order multiagent systems with double integral and time delay
type: Item
instance of: scholarly article
title: Consensus of fractional-order multiagent systems with double integral and time delay
zbMATH Open document ID: 1427.93021
DOI: 10.1155/2018/6059574
author: Jun Liu
author: Wei Chen
author: Kaiyu Qin
author: Ping Li
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: This paper is devoted to the consensus problems for a fractional-order multiagent system (FOMAS) with double integral and time delay, the dynamics of which are double-integrator fractional-order model, where there are two state variables in each agent. The consensus problems are investigated for two types of the double-integrator FOMAS with time delay: the double-integrator FOMAS with time delay whose network topology is undirected topology and the double-integrator FOMAS with time delay whose network topology is directed topology with a spanning tree in this paper. Based on graph theory, Laplace transform, and frequency-domain theory of the fractional-order operator, two maximum tolerable delays are obtained to ensure that the two types of the double-integrator FOMAS with time delay can asymptotically reach consensus. Furthermore, it is proven that the results are also suitable for integer-order dynamical model. Finally, the relationship between the speed of convergence and time delay is revealed, and simulation results are presented as a proof of concept.
Mathematics Subject Classification ID: 93A14
Mathematics Subject Classification ID: 37N35
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34D06
Mathematics Subject Classification ID: 93C15
zbMATH DE Number: 7019230
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/6059574
OpenAlex ID: W2804656313
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Wikidata QID: Q129775559
description: scientific article; zbMATH DE number 7019230