Distributed control for multiagent consensus motions with nonuniform time delays
type: Item
instance of: scholarly article
title: Distributed control for multiagent consensus motions with nonuniform time delays
zbMATH Open document ID: 1400.93271
DOI: 10.1155/2016/3567682
author: Mengji Shi
author: Kaiyu Qin
published in: Mathematical Problems in Engineering
publication date: 2018-10-12T00:00:00Z
review text: Summary: This paper solves control problems of agents achieving consensus motions in presence of nonuniform time delays by obtaining the maximal tolerable delay value. Two types of consensus motions are considered: the rectilinear motion and the rotational motion. Unlike former results, this paper has remarkably reduced conservativeness of the consensus conditions provided in such form: for each system, if all the nonuniform time delays are bounded by the maximal tolerable delay value which is referred to as ``delay margin,'' the system will achieve consensus motion; otherwise, if all the delays exceed the delay margin, the system will be unstable. When discussing the system which is intended to achieve rotational consensus motion, an expanded system whose state variables are real numbers (those of the original system are complex numbers) is introduced, and corresponding consensus condition is given also in the form of delay margin. Numerical examples are provided to illustrate the results.
Mathematics Subject Classification ID: 93D20
Mathematics Subject Classification ID: 93A14
Mathematics Subject Classification ID: 93C85
zbMATH DE Number: 6953072
Wikidata QID: Q59130887
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/3567682
OpenAlex ID: W2440976670
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description: scientific article; zbMATH DE number 6953072