Realization of the Fractional Variable-Order Model with Symmetric Property

  • Michal MaciasEmail author
  • Dominik Sierociuk
  • Wiktor Malesza
Conference paper
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 559)


The main contribution of the paper is to show a realization of fractional variable-order electrical model and its symmetric property—it is shown on numerical examples that the composition of two variable-order models designed with opposite value of orders gives an original input function. The fractional order impedances were implemented according to constant-phase element method.


Analog modelling Variable-order derivatives Symmetric operators 



This work was supported by the Polish National Science Center under Grant No. UMO-2014/15/B/ST7/00480.


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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Institute of Control and Industrial ElectronicsWarsaw University of TechnologyWarsawPoland

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