Abstract | ||
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The synchronization problem of a network of interconnected systems has been deeply analyzed by the scientific community. In the case of identical systems, under suitable hypotheses, the synchronization depends on the network topology, and specifically on the ratio between the second smallest eigenvalue (algebraic connectivity) and spectral radius of the Laplacian matrix corresponding to the network topology. In this paper a distributed algorithm for the estimation of such a ratio is given, hence providing a distributed synchronizability check for networks of interconnected systems. Simulations results are provided to show the effectiveness of the proposed algorithm. |
Year | DOI | Venue |
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2012 | 10.1109/MASS.2012.6708517 | MASS), 2012 IEEE 9th International Conference |
Keywords | Field | DocType |
distributed algorithms,eigenvalues and eigenfunctions,estimation theory,matrix algebra,synchronisation,telecommunication network topology,Laplacian matrix,algebraic connectivity,distributed algorithm,distributed synchronizability check,identical systems,interconnected systems,network topology,second smallest eigenvalue,spectral radius,synchronization problem | Laplacian matrix,Synchronization,Spectral radius,Computer science,Algebraic connectivity,Network topology,Distributed algorithm,Extension topology,Eigenvalues and eigenvectors,Distributed computing | Conference |
Volume | ISSN | ISBN |
Supplement | 2155-6806 | 978-1-4673-2433-5 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Andrea Gasparri | 1 | 447 | 41.42 |
gabriele oliva | 2 | 120 | 21.23 |
Mauro Franceschelli | 3 | 198 | 20.78 |
Stefano Panzieri | 4 | 269 | 36.84 |