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arXiv · 2203.14123

Resilient Constrained Consensus over Complete Graphs via Feasibility Redundancy

Jingxuan Zhu·Yixuan Lin·Alvaro Velasquez·Ji Liu
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Abstract

This paper considers a resilient high-dimensional constrained consensus problem and studies a resilient distributed algorithm for complete graphs. For convex constrained sets with a singleton intersection, a sufficient condition on feasibility redundancy and set regularity for reaching a desired consensus exponentially fast in the presence of Byzantine agents is derived, which can be directly applied to polyhedral sets. A necessary condition on feasibility redundancy for the resilient constrained consensus problem to be solvable is also provided.

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Jingxuan Zhu, Yixuan Lin, Alvaro Velasquez, Ji Liu. 2022-03-26. Resilient Constrained Consensus over Complete Graphs via Feasibility Redundancy. https://arxiv.org/abs/2203.14123

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