%0 Journal Article %T Distributed strategies for generating weight-balanced and doubly stochastic digraphs %A Bahman Gharesifard %A Jorge Cortes %J Mathematics %D 2009 %I arXiv %X Weight-balanced and doubly stochastic digraphs are two classes of digraphs that play an essential role in a variety of cooperative control problems, including formation control, distributed averaging, and optimization. We refer to a digraph as doubly stochasticable (weight-balanceable) if it admits a doubly stochastic (weight-balanced) adjacency matrix. This paper studies the characterization of both classes of digraphs, and introduces distributed algorithms to compute the appropriate set of weights in each case. %U http://arxiv.org/abs/0911.0232v6