Analog realization of fractional variable-type and -order iterative operator

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摘要

The aim of the paper is to give a method for modeling and practical realization of iterative fractional variable-type and -order difference operator. Based on already known serial switching scheme, it was unable to obtain practical realization of such an operator. Therefore, a new parallel switching scheme is introduced. The equivalence between proposed switching scheme and variable-type operator is proved as well. Using proposed method an analog realization of fractional variable-type and -order difference operator is presented and comparison of experimental and numerical results are given.

论文关键词:Fractional calculus,Variable-order,Analog circuit modeling

论文评审过程:Received 17 October 2017, Revised 19 April 2018, Accepted 22 April 2018, Available online 21 May 2018, Version of Record 21 May 2018.

论文官网地址:https://doi.org/10.1016/j.amc.2018.04.047