Physical Network Systems and Model Reduction

The common structure of a number of physical network systems is identified, based on the incidence structure of the graph, the weights associated to the edges, and the total stored energy. State variables may not only be associated to the vertices, but also to the edges of the graph; in clear contrast with multiagent systems. Structure-preserving model reduction concerns the problem of approximating a complex physical network system by a system of lesser complexity, but within the same class of physical network systems. Two approaches, respectively, based on clustering and on Kron reduction, are explored.

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