Consensusability of discrete-time linear multi-agent systems over analog fading networks

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• 作者：Liang Xu^a ; ^{lxu006@e.ntu.edu.sg" class="auth_mail" title="E-mail the corresponding author}Author Vitae ; Nan Xiao^b ; ^{xiaonan@smart.mit.edu" class="auth_mail" title="E-mail the corresponding author}Author Vitae ; Lihua Xie^a ; ¹ ; ^{elhxie@ntu.edu.sg" class="auth_mail" title="E-mail the corresponding author}Author Vitae
• 关键词：Discrete-time multi-agent systems ; Consensusability ; Fading networks
• 刊名：Automatica
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：71
• 期：Complete
• 页码：292-299
• 全文大小：1079 K

文摘

This paper studies the consensusability problem of discrete-time linear multi-agent systems over analog fading networks. It aims to decide whether there exists a distributed controller such that the underlying multi-agent system can achieve mean square consensus over analog fading channels. Conditions to ensure mean square consensus are derived for the scenarios of undirected communication topologies with identical fading networks, balanced directed communication topologies with identical fading networks, and undirected communications topologies with non-identical fading networks, respectively. For scalar systems, the sufficient condition is shown to be necessary. The results indicate that the effect of fading networks on consensusability is determined by the statistics of channel fading. Finally, simulations are conducted to validate the theoretical results.