2018
DOI: 10.1109/tac.2017.2771363
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Resilient Randomized Quantized Consensus

Abstract: Abstract-We consider the problem of multi-agent consensus where some agents are subject to faults/attacks and might make updates arbitrarily. The network consists of agents taking integervalued (i.e., quantized) states under directed communication links. The goal of the healthy normal agents is to form consensus in their state values, which may be disturbed by the non-normal, malicious agents. We develop update schemes to be equipped by the normal agents whose interactions are asynchronous and subject to non-u… Show more

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Cited by 133 publications
(79 citation statements)
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“…On the other hand, (7) shows that the state of the compromised agent j, i.e., x j , is deviated from the desired consensus value with a value proportional to f j . Therefore, (27) results in deviating the state of the immediate neighbor of the compromised agent j from the desired consensus behavior, which contradicts the assumption. Consequently, intact agents that have a path to the compromised agent do not reach consensus, while their local neighborhood tracking error is zero.…”
Section: B Attack Analysismentioning
confidence: 93%
“…On the other hand, (7) shows that the state of the compromised agent j, i.e., x j , is deviated from the desired consensus value with a value proportional to f j . Therefore, (27) results in deviating the state of the immediate neighbor of the compromised agent j from the desired consensus behavior, which contradicts the assumption. Consequently, intact agents that have a path to the compromised agent do not reach consensus, while their local neighborhood tracking error is zero.…”
Section: B Attack Analysismentioning
confidence: 93%
“…By having n a i,k as a weight, establishing a connection with a neighbor is penalized more if the number of attacks detected increases. Moreover, (25b) is obtained from (3)-(7), (13), (14) and from the following expression:…”
Section: Figurementioning
confidence: 99%
“…Moreover, consensus problems in which some of the agents perform an adversarial behavior to prevent convergence have also been investigated. [13][14][15] In the DMPC framework, the issue that some agents might provide false information, which is a different type of adversarial behaviors, has also been discussed. 16,17 A scenario-based defense mechanism 16 and a compensation scheme to incentivize truth telling among agents 17 have been proposed to deal with false information problems.…”
Section: Introductionmentioning
confidence: 99%
“…Recent works Koutsoukos, 2011, 2012) proposed a continuoustime variation of the MSR algorithm, while in (Su and Vaidya, 2017) the authors allowed agents to take as input not only the information from their neighbors but also the information provided by the agents that are up to hops away. In (Dibaji et al, 2018;Dibaji and Ishii, 2017), a modification of the MSR algorithm has been proposed to solve the resilient consensus problem for asynchronous multi-agent systems with quantized communication and delays. The works (Sundaram and Hadjicostis, 2011;Pasqualetti et al, 2012) proposed a different approach to detect and identify malicious agents, which is based on observability and reconstruction of the initial conditions.…”
Section: Introductionmentioning
confidence: 99%