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In this two-part paper, we consider multicomponent systems in which each component can iteratively exchange information with other components in its neighborhood in order to compute, in a distributed fashion, the average of the components' initial values or some other quantity of interest (i.e., some function of these initial values).
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M. Cao, A. S. Morse, and B. D. O. Anderson, “Reaching a consensus in a dynamically changing environment: Convergence rates, measurement delays, and asynchronous events,” SIAM Journal on Control and Optimization , vol. 47, no. 2, pp. 601–623, 2008
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F. Benezit, V. Blondel, P. Thiran, J. Tsitsiklis, and M. Vetterli, “Weighted gossip: Distributed averaging using non-doubly stochastic matrices,” in Proc. of IEEE International Symposium on Information Theory , June 2010, pp. 1753 –1757
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A. Nedić and A. Ozdaglar, “Convergence rate for consensus with delays,” Journal of Global Optimization , vol. 47, pp. 437–456, July 2010
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K. Tsianos and M. Rabbat, “Distributed consensus and optimization under communication delays,” in Proceedings of Annual Allerton Conference on Communication, Control, and Computing , September 2011
2011
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