Consensus conditions for high-order multiagent systems with nonuniform delays
type: Item
instance of: scholarly article
title: Consensus conditions for high-order multiagent systems with nonuniform delays
zbMATH Open document ID: 1426.93015
DOI: 10.1155/2017/7307834
author: Mengji Shi
author: Kaiyu Qin
author: Ping Li
author: Jun Liu
published in: Mathematical Problems in Engineering
publication date: 2018-11-05T00:00:00Z
review text: Summary: Consensus of first-order and second-order multiagent systems has been wildly studied. However, the convergence of high-order (especially the third-order to the sixth-order) state variables is also ubiquitous in various fields. The paper handles consensus problems of high-order multiagent systems in the presence of multiple time delays. Obtained by a novel frequency domain approach which properly resolves the challenges associated with nonuniform time delays, the consensus conditions for the first-order and second-order systems are proven to be nonconservative, and those for the third-order to the sixth-order systems are provided in the form of simple inequalities. The method revealed in this article is applicable to arbitrary-order systems, and the results are less conservative than those based on Lyapunov approaches, because it roots in sufficient and necessary criteria of stabilities. Simulations are carried out to validate the theoretical results.
Mathematics Subject Classification ID: 93A14
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93D20
zbMATH DE Number: 6972442
Wikidata QID: Q59147750
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/7307834
OpenAlex ID: W2604761513
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description: scientific article; zbMATH DE number 6972442