Mean square consensus of multi-agent systems over fading networks with directed graphs

This paper studies the mean square consensus problem of discrete-time linear multi-agent systems (MASs) over analog fading networks with directed graphs. Compressed in-incidence matrix (CIIM), compressed incidence matrix (CIM) and compressed edge Laplacian (CEL) are firstly proposed to facilitate th...

Full description

Saved in:
Bibliographic Details
Main Authors: Xu, Liang, Zheng, Jianying, Xiao, Niao, Xie, Lihua
Other Authors: School of Electrical and Electronic Engineering
Format: Article
Language:English
Published: 2020
Subjects:
Online Access:https://hdl.handle.net/10356/137866
Tags: Add Tag
No Tags, Be the first to tag this record!
Institution: Nanyang Technological University
Language: English
id sg-ntu-dr.10356-137866
record_format dspace
spelling sg-ntu-dr.10356-1378662020-04-17T01:23:58Z Mean square consensus of multi-agent systems over fading networks with directed graphs Xu, Liang Zheng, Jianying Xiao, Niao Xie, Lihua School of Electrical and Electronic Engineering Engineering::Electrical and electronic engineering Multi-agent Systems Consensusability This paper studies the mean square consensus problem of discrete-time linear multi-agent systems (MASs) over analog fading networks with directed graphs. Compressed in-incidence matrix (CIIM), compressed incidence matrix (CIM) and compressed edge Laplacian (CEL) are firstly proposed to facilitate the modeling and consensus analysis. It is then shown that the mean square consensusability is solely determined by the edge state dynamics on a directed spanning tree. As a result, sufficient conditions are provided for mean square consensus over fading networks with directed graphs in terms of fading parameters, the network topology and the agent dynamics. Moreover, the role of network topology on the mean square consensusability is discussed. In the end, simulations are conducted to verify the derived results. 2020-04-17T01:23:57Z 2020-04-17T01:23:57Z 2018 Journal Article Xu, L., Zheng, J., Xiao, N., & Xie, L. (2018). Mean square consensus of multi-agent systems over fading networks with directed graphs. Automatica, 95, 503-510. doi:10.1016/j.automatica.2018.06.005 0005-1098 https://hdl.handle.net/10356/137866 10.1016/j.automatica.2018.06.005 2-s2.0-85048777171 95 503 510 en Automatica © 2018 Elsevier Ltd. All rights reserved.
institution Nanyang Technological University
building NTU Library
country Singapore
collection DR-NTU
language English
topic Engineering::Electrical and electronic engineering
Multi-agent Systems
Consensusability
spellingShingle Engineering::Electrical and electronic engineering
Multi-agent Systems
Consensusability
Xu, Liang
Zheng, Jianying
Xiao, Niao
Xie, Lihua
Mean square consensus of multi-agent systems over fading networks with directed graphs
description This paper studies the mean square consensus problem of discrete-time linear multi-agent systems (MASs) over analog fading networks with directed graphs. Compressed in-incidence matrix (CIIM), compressed incidence matrix (CIM) and compressed edge Laplacian (CEL) are firstly proposed to facilitate the modeling and consensus analysis. It is then shown that the mean square consensusability is solely determined by the edge state dynamics on a directed spanning tree. As a result, sufficient conditions are provided for mean square consensus over fading networks with directed graphs in terms of fading parameters, the network topology and the agent dynamics. Moreover, the role of network topology on the mean square consensusability is discussed. In the end, simulations are conducted to verify the derived results.
author2 School of Electrical and Electronic Engineering
author_facet School of Electrical and Electronic Engineering
Xu, Liang
Zheng, Jianying
Xiao, Niao
Xie, Lihua
format Article
author Xu, Liang
Zheng, Jianying
Xiao, Niao
Xie, Lihua
author_sort Xu, Liang
title Mean square consensus of multi-agent systems over fading networks with directed graphs
title_short Mean square consensus of multi-agent systems over fading networks with directed graphs
title_full Mean square consensus of multi-agent systems over fading networks with directed graphs
title_fullStr Mean square consensus of multi-agent systems over fading networks with directed graphs
title_full_unstemmed Mean square consensus of multi-agent systems over fading networks with directed graphs
title_sort mean square consensus of multi-agent systems over fading networks with directed graphs
publishDate 2020
url https://hdl.handle.net/10356/137866
_version_ 1681059415307845632