Resilient Asymptotic Consensus in Robust Networks

@article{LeBlanc2013ResilientAC,
  title={Resilient Asymptotic Consensus in Robust Networks},
  author={Heath J. LeBlanc and Haotian Zhang and Xenofon D. Koutsoukos and Shreyas Sundaram},
  journal={IEEE Journal on Selected Areas in Communications},
  year={2013},
  volume={31},
  pages={766-781}
}
This paper addresses the problem of resilient in-network consensus in the presence of misbehaving nodes. Secure and fault-tolerant consensus algorithms typically assume knowledge of nonlocal information; however, this assumption is not suitable for large-scale dynamic networks. To remedy this, we focus on local strategies that provide resilience to faults and compromised nodes. We design a consensus protocol based on local information that is resilient to worst-case security breaches, assuming… 
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388 Citations
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Methods Citations
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References

SHOWING 1-10 OF 61 REFERENCES
Consensus of multi-agent networks in the presence of adversaries using only local information
TLDR
This paper provides necessary and sufficient conditions for the normal nodes to reach consensus despite the influence of the malicious nodes under different threat assumptions, stated in terms of a novel graph-theoretic property referred to as network robustness.
Network Robustness: Diffusing Information Despite Adversaries
TLDR
This report introduces a topological property termed as network robustness and shows that this concept, together with its variants, is the key property to characterize the behavior of a class of resilient algorithms that use purely local information.
Robustness of information diffusion algorithms to locally bounded adversaries
TLDR
A topological property known as r-robustness of a graph is introduced, and this property provides improved bounds on tolerating malicious behavior, in comparison to traditional concepts such as connectivity and minimum degree.
Consensus Computation in Unreliable Networks: A System Theoretic Approach
TLDR
This paper characterize the set of inputs that allow misbehaving agents to affect the consensus network while remaining undetected and/or unidentified from certain observing agents, and designs three algorithms to detect and identify misbehave agents.
Low complexity resilient consensus in networked multi-agent systems with adversaries
TLDR
This paper defines the adversarial asymptotic agreement problem, which requires that the uncompromised agents asymPTotically align their states while satisfying an invariant condition in the presence of adversaries, and designs a low complexity consensus protocol, the Adversarial Robust Consensus Protocol (ARC-P), which combines ideas from distributed computing and cooperative control.
Low complexity resilient consensus in networked multi-agent systems with adversaries
TLDR
This paper defines the adversarial asymptotic agreement problem, which requires that the uncompromised agents asymPTotically align their states while satisfying an invariant condition in the presence of adversaries, and designs a low complexity consensus protocol, the Adversarial Robust Consensus Protocol (ARC-P), which combines ideas from distributed computing and cooperative control.
Resilient network coding in the presence of Byzantine adversaries
  • S. Jaggi, M. Langberg, M. Effros
  • Computer Science
    IEEE INFOCOM 2007 - 26th IEEE International Conference on Computer Communications
  • 2007
TLDR
This paper introduces the first distributed polynomial-time rate-optimal network codes that work in the presence of Byzantine nodes, and presents algorithms that target adversaries with different attacking capabilities.
Distributed Function Calculation via Linear Iterative Strategies in the Presence of Malicious Agents
TLDR
The topology of the network completely characterizes the resilience of linear iterative strategies to this kind of malicious behavior and it is shown that node xi is guaranteed to be able to calculate any arbitrary function of all node values when the number of malicious nodes is f or less.
Consensus in networked multi-agent systems with adversaries
TLDR
The Adversarially Robust Consensus Protocol (ARC-P) is presented, which combines ideas from consensus algorithms that are resilient to Byzantine faults and from linear consensus protocols used for control and coordination of dynamic agents and solves the consensus problem in complete networks whenever there are more cooperative agents than adversaries.
Gossip-based computation of aggregate information
  • D. Kempe, A. Dobra, J. Gehrke
  • Computer Science
    44th Annual IEEE Symposium on Foundations of Computer Science, 2003. Proceedings.
  • 2003
TLDR
This paper analyzes the diffusion speed of uniform gossip in the presence of node and link failures, as well as for flooding-based mechanisms, and shows that this diffusion speed is at the heart of the approximation guarantees for all of the above problems.
...
...