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Thesis: Model Reduction Error Analysis of Multi-Agent Systems

Ruiter, M. (2017) Thesis: Model Reduction Error Analysis of Multi-Agent Systems. Bachelor's Thesis, Mathematics.

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Abstract

This thesis gives a numerical method for computing the model reduction error of a multi-agent system associated with an undirected graph, given a leader set and an arbitrary partition. One can determine this model reduction error easily, if one makes use of a so called almost-equitable partition, but for other instances this (most likely) cannot be done analytically. This model reduction error is expressed in terms of the H2-norm, for which the Lyapunov equation had to be solved. This can only be done when the system is stable, so we make use of similarity of systems. We have experimented with different graph partition and may conclude the effect of the leader agents on the resulting error.

Item Type: Thesis (Bachelor's Thesis)
Degree programme: Mathematics
Thesis type: Bachelor's Thesis
Language: English
Date Deposited: 15 Feb 2018 08:31
Last Modified: 15 Feb 2018 08:31
URI: http://fse.studenttheses.ub.rug.nl/id/eprint/15779

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