Event-Triggered Approximate Byzantine Consensus With Multi-Hop Communication

In this article, we consider a resilient consensus problem for the multi-agent network where some of the agents are subject to Byzantine attacks and may transmit erroneous state values to their neighbors. In particular, we develop two event-triggered update schemes to tackle this problem as well as...

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Published inIEEE transactions on signal processing Vol. 71; pp. 1742 - 1754
Main Authors Yuan, Liwei, Ishii, Hideaki
Format Journal Article
LanguageEnglish
Published New York IEEE 2023
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
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ISSN1053-587X
1941-0476
DOI10.1109/TSP.2023.3266975

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Abstract In this article, we consider a resilient consensus problem for the multi-agent network where some of the agents are subject to Byzantine attacks and may transmit erroneous state values to their neighbors. In particular, we develop two event-triggered update schemes to tackle this problem as well as reduce the communication for each agent. Our approach is based on the mean subsequence reduced (MSR) algorithm with agents being capable to communicate with multi-hop neighbors through relaying process. Since communication delays are critical in such an environment, we provide necessary graph conditions for the proposed algorithms to perform well with delays in the communication. Moreover, a novel multi-hop relay scheme with event-triggered feature is proposed. It can reduce more transmissions than the conventional one-hop event-triggered algorithm. We also highlight that through multi-hop communication, the network connectivity can be reduced especially in comparison with the common one-hop communication case. Lastly, we show the effectiveness of the proposed algorithms by numerical examples.
AbstractList In this article, we consider a resilient consensus problem for the multi-agent network where some of the agents are subject to Byzantine attacks and may transmit erroneous state values to their neighbors. In particular, we develop two event-triggered update schemes to tackle this problem as well as reduce the communication for each agent. Our approach is based on the mean subsequence reduced (MSR) algorithm with agents being capable to communicate with multi-hop neighbors through relaying process. Since communication delays are critical in such an environment, we provide necessary graph conditions for the proposed algorithms to perform well with delays in the communication. Moreover, a novel multi-hop relay scheme with event-triggered feature is proposed. It can reduce more transmissions than the conventional one-hop event-triggered algorithm. We also highlight that through multi-hop communication, the network connectivity can be reduced especially in comparison with the common one-hop communication case. Lastly, we show the effectiveness of the proposed algorithms by numerical examples.
Author Ishii, Hideaki
Yuan, Liwei
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Snippet In this article, we consider a resilient consensus problem for the multi-agent network where some of the agents are subject to Byzantine attacks and may...
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SubjectTerms Algorithms
byzantine attack
Communication
Delays
distributed algorithms
event-triggered updates
multi-hop communication
Multiagent systems
Protocols
Relaying
Relays
Resilience
Resilient consensus
Robustness
Signal processing algorithms
Spread spectrum communication
Title Event-Triggered Approximate Byzantine Consensus With Multi-Hop Communication
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