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This paper studies reduced-order modeling of dynamic networks with stronglyconnected topology. Given a graph clustering of an original complex network, weconstruct a quotient graph with less number of vertices, where the edge weightsare parameters to be determined. The model of the reduced network is therebyobtained with parameterized system matrices, and then an edge weightingprocedure is devised, aiming to select an optimal set of edge weights thatminimizes the approximation error between the original and the reduced-ordernetwork models in terms of H2-norm. The effectiveness of the proposed method isillustrated by a numerical example.

Reduced Order Modeling of Diffusively Coupled Network Systems: An Optimal Edge Weighting Approach