Distributed adaptive optimization and control of network structures

Abstract

General rightsThis document is made available in accordance with publisher policies. Please cite only the published version using the reference above. Full terms of use are available: http://www.bristol.ac.uk/pure/about/ebr-terms Distributed Adaptive Optimization and Control of Network StructuresLouis Kempton, Guido Herrmann and Mario di Bernardo Abstract-In this paper we present a generic distributed weight adaptation framework to optimize some network observables of interest. We focus on the algebraic connectivity λ2, the spectral radius λn, the synchronizability λn/λ2, or the total effective graph resistance Ω of undirected weighted networks, and describe distributed systems for the estimation of these functions and their derivatives for on-line adaptation of the edge weights.