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Agreement over noisy networks

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3 Author(s)
Das, A.K. ; Appl. Phys. Lab., Univ. of Washington, Seattle, WA, USA ; Hatano, Y. ; Mesbahi, M.

The authors consider the agreement problem over noisy communication networks. This problem is analysed via a blend of ideas from stochastic stability (supermartingales) and algebraic graph theory (spectra of graph Laplacians). In this venue, the authors show that the noisy agreement protocol has a guaranteed probabilistic convergence, provided that an embedded step size meets a graph theoretic constraint. The authors then proceed to define a pertinent graph parameter and point out the ramifications of having noisy information exchange links in networks that can be modelled as random and random geometric graphs.

Published in:

Control Theory & Applications, IET  (Volume:4 ,  Issue: 11 )