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- W2807001567 abstract "This letter studies the convergence property of the projected consensus algorithm. Under the assumption that: 1) the intersection of all constraint sets is nonempty; 2) the directed graph representing the communication among agents is time-invariant, strongly connected and aperiodic; and 3) the sum of the weights on incoming edges to each vertex of the graph is one, we prove that the states of all agents converge to a common point in the intersection of all constraint sets. Our proof does not need the assumption that every vertex has a self-loop. The validity of the theoretical analysis is confirmed through numerical experiments performed for a system of linear equations with nonnegativity constraints." @default.
- W2807001567 created "2018-06-13" @default.
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- W2807001567 date "2018-07-01" @default.
- W2807001567 modified "2023-09-26" @default.
- W2807001567 title "A Simple Sufficient Condition for Convergence of Projected Consensus Algorithm" @default.
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- W2807001567 doi "https://doi.org/10.1109/lcsys.2018.2843679" @default.
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