Clustering-Based Model Order Reduction for Nonlinear Network Systems
Numerical Analysis
2022-04-01 v2 Numerical Analysis
Systems and Control
Systems and Control
Dynamical Systems
Abstract
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.
Cite
@article{arxiv.2003.06952,
title = {Clustering-Based Model Order Reduction for Nonlinear Network Systems},
author = {Peter Benner and Sara Grundel and Petar Mlinarić},
journal= {arXiv preprint arXiv:2003.06952},
year = {2022}
}
Comments
20 pages, 6 figures, 1 table