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Various randomized consensus algorithms have been proposed in the literature. In some case randomness is due to the choice of a randomized network communication protocol. In other cases, randomness is simply caused by the potential unpredictability of the environment in which the distributed consensus algorithm is implemented. Conditions ensuring the convergence of these algorithms have already been...
Suppose we have a directed graph G with set of nodes V = {1,...,N} and a measure xi for every node i euro V. The average consensus problem consists in computing the average xA= N-1Sigmai xi in an iterative way, exchanging information among nodes exclusively along the available edges in G. This problem appears in a number of different contexts since the 80's (decentralized computation, load balancing,...
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