Titlebook: Introduction to Averaging Dynamics over Networks; Fabio Fagnani,Paolo Frasca Book 2018 Springer International Publishing AG 2018 Coordinat

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Graph Theory,e basic notions in Sect. ., the emphasis is on connectivity and periodicity properties, which are presented in Sects. . and ., respectively. Section . introduces the adjacency and Laplacian matrices associated to a given graph and studies their spectra. Finally, Sect. . introduces some notable examp

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Averaging in Time-Invariant Networks, assumptions it brings the states associated with the nodes to converge to the same value. Section . introduces the rendezvous problem, which serves us as the main motivation to seek consensus, and states the main results of the chapter. Section . solves the consensus problem in the special case of

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Performance and Robustness of Averaging Algorithms,osed metric highlights a specific aspect of the algorithm, possibly in relation with a field of application. Namely, we shall consider the speed of convergence in Sect. ., a quadratic control cost in Sect. ., the robustness to noise in Sect. ., and the estimation error in a distributed inference pro

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Fabio Fagnani,Paolo Frascal doctrine, not merely a new area of mathematics, but a new mathematical world view. Its appearance was the inevitable consequence of the evolution of all of nineteenth-century mathematics, in particular classical analysis and mathematical physics. Its original basis was formed by Cantor’s theory of

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