Title
Distributed Consensus Over Markovian Packet Loss Channels
Abstract
This paper studies the consensusability problem of multiagent systems (MASs), where agents communicate with each other through Markovian packet loss channels. We try to determine conditions under which there exists a linear distributed consensus controller such that the MAS can achieve mean square consensus. We first provide a necessary and sufficient consensus condition for MASs with single input and independent and identically distributed channel losses, which complements existing results. Then, we proceed to study the case with identical Markovian packet losses. A necessary and sufficient consensus condition is first derived based on the stability of Markov jump linear systems. Then, a numerically verifiable consensus criterion in terms of the feasibility of linear matrix inequalities (LMIs) is proposed. Furthermore, analytic sufficient conditions and necessary conditions for mean square consensusability are provided for general MASs. The case with nonidentical packet loss is studied subsequently. The necessary and sufficient consensus condition and a sufficient consensus condition in terms of LMIs are proposed. In the end, numerical simulations are conducted to verify the derived results.
Year
DOI
Venue
2020
10.1109/TAC.2019.2915747
IEEE Transactions on Automatic Control
Keywords
Field
DocType
Packet loss,Fading channels,Symmetric matrices,Communication channels,Eigenvalues and eigenfunctions,Markov processes
Consensus,Control theory,Mathematical optimization,Markov process,Matrix (mathematics),Network packet,Packet loss,Communication channel,Verifiable secret sharing,Mathematics
Journal
Volume
Issue
ISSN
65
1
0018-9286
Citations 
PageRank 
References 
1
0.36
24
Authors
3
Name
Order
Citations
PageRank
Liang Xu110.36
Yilin Mo289151.51
Lihua Xie35686405.63