Kron Reduction of Nonlinear Networks

Arjan van der Schaft*, Bart Besselink, Anne Men Huijzer

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

1 Citation (Scopus)
7 Downloads (Pure)

Abstract

Kron reduction is concerned with the elimination of interior nodes of physical network systems, such as linear resistive circuits. In this paper it is shown how this can be extended to networks with nonlinear static relations between the variables associated to the edges of the underlying graph.

Original languageEnglish
Pages (from-to)556-561
Number of pages6
JournalIEEE Control Systems Letters
Volume8
DOIs
Publication statusPublished - 8-May-2024

Keywords

  • Convex functions
  • Electric potential
  • Laplace equations
  • Large-scale systems
  • Memristors
  • Model/Controller reduction
  • Network analysis and control
  • Symmetric matrices
  • Vectors
  • Voltage

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