Title
A distributed solution to the network reconstruction problem.
Abstract
It has been recently shown in Ren et al. (2010) that by collecting noise-contaminated time series generated by a coupled-oscillator system at each node of a network, it is possible to robustly reconstruct its topology, i.e. determine the graph Laplacian. Restricting ourselves to linear consensus dynamics over undirected communication networks, in this paper we introduce a new dynamic average consensus least-squares algorithm to locally estimate these time series at each node, thus making the reconstruction process fully distributed and more easily applicable in the real world. We also propose a novel efficient method for separating the off-diagonal entries of the reconstructed Laplacian, and examine several concepts related to the trace of the dynamic correlation matrix of the coupled single integrators, which is a distinctive element of our network reconstruction method. The theory is illustrated with examples from computer, power and transportation systems.
Year
DOI
Venue
2014
10.1016/j.sysconle.2014.05.008
Systems & Control Letters
Keywords
Field
DocType
Network reconstruction,Consensus algorithms,Distributed estimation,Networked systems
Laplacian matrix,Average consensus,Mathematical optimization,Reconstruction problem,Telecommunications network,Control theory,Computer science,Integrator,Theoretical computer science,Covariance matrix,Consensus dynamics,Laplace operator
Journal
Volume
ISSN
Citations 
70
0167-6911
4
PageRank 
References 
Authors
0.50
12
2
Name
Order
Citations
PageRank
Fabio Morbidi191.97
Alain Y. Kibangou29512.01