Reduced order modeling of linear consensus networks using weight assignments

Xiaodong Cheng, Lanlin Yu, Jacquelien M.A. Scherpen

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Abstract

This paper studies a model reduction method for linear consensus networks consisting of diffusively coupled single-integrators. For a given graph clustering of an original complex network, we construct a simplified network consisting of fewer nodes, where the edge weights are to be determined. An optimal weight assignment procedure is proposed to select suitable edge weights of the reduced network, aiming for the minimum mathcal{H}{2} approximation error between the original network and the reduced-order network model. The effectiveness of the proposed method is illustrated by means of an example.

Original languageEnglish
Title of host publication2019 18th European Control Conference, ECC 2019
Place of PublicationPiscataway
PublisherInstitute of Electrical and Electronics Engineers
Pages2005-2010
Number of pages6
ISBN (Electronic)978-3-907144-00-8
DOIs
Publication statusPublished - 1 Jun 2019
Event18th European Control Conference, ECC 2019 - Naples, Italy
Duration: 25 Jun 201928 Jun 2019

Conference

Conference18th European Control Conference, ECC 2019
CountryItaly
CityNaples
Period25/06/1928/06/19

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