Passive rational interpolation-based reduction via carathodory extension for general systems Academic Article uri icon


MeSH Major

  • Color Vision
  • Color Vision Defects
  • Genetic Therapy
  • Light
  • Optogenetics
  • Retinal Cone Photoreceptor Cells
  • Retinal Degeneration


  • Passive reduction of interconnects requires the system to be described in the so-called passive form, which limits the application of existing approaches. Passive reduction of a dynamic system in general structure form still remains a difficult problem, and existing solutions are expensive. This brief presents a novel rational interpolation-based reduction framework for reducing the dynamic systems described in any internal structure. The new method is based on the Carathodory extension, which ensures that the interpolating function is passive without any restriction on the circuit structure. As an explicit moment-matching method, it has a similar computational cost as the Krylov-subspace-based reduction methods and is very efficient to reduce the large systems whose inputoutput behavior can be approximated by a small number of moments. © 2010 IEEE.

publication date

  • September 2010



  • Academic Article


Digital Object Identifier (DOI)

  • 10.1109/TCSII.2010.2056010

Additional Document Info

start page

  • 750

end page

  • 755


  • 57


  • 9