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Rational approximation via selective modal analysis

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Abstract

We describe a recently developed framework for exploring the structure of linear time-invariant models of large systems, and for constructing interpretable or physically-based, reduced-order models that reproduce selected modes of the original systems to a desired accuracy. Application of this framework to constructing lumped approximations for interconnections of lumped and distributed systems is briefly explored.

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Support for this work has come partially from the Electric Power Research Institute, Palo Alto, California, under Contract RP 1764-8 monitored by Dr. Neal Balu, and for the second author from the I.T.P. Foundation, Madrid, Spain.

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Verghese, G.C., Pérez-Arriaga, I. & Schweppe, F.C. Rational approximation via selective modal analysis. Circuits Systems and Signal Process 1, 433–445 (1982). https://doi.org/10.1007/BF01599022

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