2015 American Control Conference (ACC) 2015
DOI: 10.1109/acc.2015.7170960
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Approximate byzantine consensus in faulty asynchronous networks

Abstract: In this paper, a novel fault-tolerant algorithm for achieving approximate Byzantine consensus in asynchronous networks is proposed. It is shown that the topological condition required for the success of the algorithm is more relaxed than the previous results. We prove that the synchronicity of the network does not affect this condition and the algorithm succeeds in synchronous networks as well. The same fact is concluded in networks with delay on communication paths. Finally, we extend the results to networks … Show more

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Cited by 17 publications
(9 citation statements)
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“…The conditions given in Theorem 1 are equivalent to the conditions that are required for the success of the fault-tolerant algorithms given by Haseltalab and Akar (2015a); LeBlanc et al (2013) when the fault model is assumed to be Byzantine, and that are required for the success of the D-FDA given in Algorithm 1. Therefore, all non-faulty nodes implement the D-FDA to determine f i = f and then they use the MSR algorithm with parameter f i = f to achieve approximate Byzantine consensus.…”
Section: Np-rca and Its Convergence Analysismentioning
confidence: 99%
See 1 more Smart Citation
“…The conditions given in Theorem 1 are equivalent to the conditions that are required for the success of the fault-tolerant algorithms given by Haseltalab and Akar (2015a); LeBlanc et al (2013) when the fault model is assumed to be Byzantine, and that are required for the success of the D-FDA given in Algorithm 1. Therefore, all non-faulty nodes implement the D-FDA to determine f i = f and then they use the MSR algorithm with parameter f i = f to achieve approximate Byzantine consensus.…”
Section: Np-rca and Its Convergence Analysismentioning
confidence: 99%
“…The convergence analysis of the W-MSR algorithm has been carried out by using the concept of network robustness. Haseltalab and Akar (2015a) proposed an MSR algorithm that solves the approximate Byzantine consensus problem independent of synchronicity of the network and time delays. They have shown that the proposed MSR algorithm can also be implemented in time-varying networks.…”
Section: Introductionmentioning
confidence: 99%
“…Kieckhafer and Azadmanesh studied the behavior of iterative algorithms (i.e., memory-less algorithms) and proved some lower bounds under Mixed-Mode faults model, where nodes may suffer crash, omission, symmetric, and/or asymmetric Byzantine failures [13]. Researchers also studied iterative approximate consensus under different communication assumptions, including arbitrary communication networks [19], networks with transient link faults [18], and timevarying networks [10] · · · etc. These works only assumed fixed fault model.…”
Section: Related Workmentioning
confidence: 99%
“…Recently, the time synchronization based on consensus algorithms for WSNs under attacks has been explored in [8], [10]- [14]. A common approach that filters the information received from one's neighbors to ensure robustness has been introduced for the study of resilient consensus problem in recent works [15]- [18], and has been extended a family of algorithms, called the Weighted Mean-Subsequence-Reduced (W-MSR) algorithm [19]. The basic idea of W-MSR is to eliminate the constant number of maximum and minimum values that each node received from its neighbors.…”
Section: Introductionmentioning
confidence: 99%
“…On the other hand, consensus in asynchronous networks is a more realistic case facing practical problems, since node independently updates its state at times determined by its own clock in real environments [5]- [7]. The resilient consensus problem in asynchronous networks is studied in [18], [28], [29]. However, in these mentioned works, they all assumed that the topology of the underlying graph is fixed during the whole consensus process.…”
Section: Introductionmentioning
confidence: 99%