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Weight-balanced and doubly stochastic digraphs are two classes of digraphsthat play an essential role in a variety of cooperative control problems,including formation control, distributed averaging, and optimization. We referto a digraph as doubly stochasticable (weight-balanceable) if it admits adoubly stochastic (weight-balanced) adjacency matrix. This paper studies thecharacterization of both classes of digraphs, and introduces distributedalgorithms to compute the appropriate set of weights in each case.

Distributed strategies for generating weight-balanced and doubly stochastic digraphs