On the Robustness of Uncertain Consensus Networks

@article{Zelazo2017OnTR,
  title={On the Robustness of Uncertain Consensus Networks},
  author={Daniel Zelazo and Mathias B{\"u}rger},
  journal={IEEE Transactions on Control of Network Systems},
  year={2017},
  volume={4},
  pages={170-178}
}
This work considers the robustness of uncertain consensus networks. The stability properties of consensus networks with negative edge weights are also examined. We show that the network is unstable if either the negative weight edges form a cut in the graph or any single negative edge weight has a magnitude less than the inverse of the effective resistance between the two incident nodes. These results are then used to analyze the robustness of the consensus network with additive but bounded… CONTINUE READING
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