Clustering-Based Model Order Reduction for Nonlinear Network Systems

03/16/2020

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by   Peter Benner, et al.

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Clustering by projection has been proposed as a way to preserve network structure in linear multi-agent systems. Here, we extend this approach to a class of nonlinear network systems. Additionally, we generalize our clustering method which restores the network structure in an arbitrary reduced-order model obtained by projection. We demonstrate this method on a number of examples.