Agreement of networks of discrete-time agents with mixed dynamics and time delays
type: Item
instance of: scholarly article
title: Agreement of networks of discrete-time agents with mixed dynamics and time delays
zbMATH Open document ID: 1394.93007
DOI: 10.1155/2015/957028
author: Xue Li
author: Xueer Chen
author: Yingchun Xie
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: This paper considers agreement problems of networks of discrete-time agents with mixed dynamics and arbitrary bounded time delays, and networks consist of first-order agents and second-order agents. By using the properties of nonnegative matrices and model transformations, we derive sufficient conditions for stationary agreement of networks with bounded time delays. It is shown that stationary agreement can be achieved with arbitrary bounded time delays, if and only if fixed topology has a spanning tree and the union of the dynamically changing topologies has a spanning tree. Simulation results are also given to demonstrate the effectiveness of our theoretical results.
Mathematics Subject Classification ID: 93A14
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93D15
zbMATH DE Number: 6927687
Wikidata QID: Q59120052
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/957028
OpenAlex ID: W2220519825
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description: scientific article; zbMATH DE number 6927687