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Clustering-based approximation of multi-agent systems defined on weighted directed graphs

Koning, J.J. (2016) Clustering-based approximation of multi-agent systems defined on weighted directed graphs. Bachelor's Thesis, Applied Mathematics.

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Abstract

This thesis deals with multi-agent systems where the information flow between the agents is represented by a weighted directed graph. We consider a model reduction technique for multi-agent systems that preserves the network structure of the original model. We extend existing results for undirected graphs to the case of directed graphs. We will see that the reduced-order model again represents a multi-agent system de fined on a weighted directed graph and that consensus is preserved. Furthermore, we will give an explicit expression for the relative approximation error that is involved in the model reduction.

Item Type: Thesis (Bachelor's Thesis)
Degree programme: Applied Mathematics
Thesis type: Bachelor's Thesis
Language: English
Date Deposited: 15 Feb 2018 08:30
Last Modified: 15 Feb 2018 08:30
URI: http://fse.studenttheses.ub.rug.nl/id/eprint/15536

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