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Model reduction of consensus networks

Baar, W. (2015) Model reduction of consensus networks. Bachelor's Thesis, Mathematics.

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Abstract

In this thesis, model reduction of consensus networks is studied. A network can be algebraically represented by a graph and we study its edge Laplacian. We consider a network which contains one cycle. We compare that system with the system described by only its underlying spanning tree, and we derive an exact H2-norm of the error system. This error term depends on the eigenvalues and orthonormal eigenvectors of the edge Laplacian and the position and length of the cycle. If we consider a star graph as spanning tree the error is constant, that is, independent of the number of nodes (agents). We derive numerical results for the H2-norm for systems where the spanning tree is a path graph.

Item Type: Thesis (Bachelor's Thesis)
Degree programme: Mathematics
Thesis type: Bachelor's Thesis
Language: English
Date Deposited: 15 Feb 2018 08:06
Last Modified: 15 Feb 2018 08:06
URI: http://fse.studenttheses.ub.rug.nl/id/eprint/13094

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