The Flow Equations of Resistive Electrical Networks

  • Arjan van der SchaftEmail author
Part of the Operator Theory: Advances and Applications book series (OT, volume 272)


The analysis of the flow equations of electrical networks goes back to the classical work of Kirchhoff, but still poses interesting questions, of direct relevance to electrical power networks. A related open problem concerns the identifiability of the conductance parameters from the boundary behavior of the network.


Kirchhoff’s problem Laplacian matrix Schur complement identifiability 

Mathematics Subject Classification (2010)

Primary 94C15 05C21 


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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Bernoulli Institute for Mathematics, CS and AI Jan C. Willems Center for Systems and ControlUniversity of GroningenGroningenthe Netherlands

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