caa a22 4500 606205977 CHVBK 20210128101009.0 cr unu---uuuuu 210128e20150401xx s 000 0 eng 10.1007/s00034-014-9895-1 doi (NATIONALLICENCE)springer-10.1007/s00034-014-9895-1 On the Recursive Fractional Variable-Order Derivative: Equivalent Switching Strategy, Duality, and Analog Modeling [Elektronische Daten] [Dominik Sierociuk, Wiktor Malesza, Michal Macias] In this paper, a switching strategy for recursive fractional variable-order derivative is proposed. This strategy can be interpreted as an explanation of order switching mechanism for this particular type of derivative. Additionally, important properties of variable fractional order derivatives, required for prove the main result, are introduced both in a difference equation and a matrix form. Duality between the recursive and standard variable-order derivative is detailed derived. Based on the switching scheme, an analog realization of the recursive variable-order derivative definition is presented. Experimental results obtained for the analog realization are compared to the numerical results. The Author(s), 2014 Fractional calculus nationallicence Variable-order differentiation nationallicence Analog modeling nationallicence Sierociuk Dominik Institute of Control and Industrial Electronics, Warsaw University of Technology, Koszykowa75, 00-662, Warsaw, Poland aut Malesza Wiktor Institute of Control and Industrial Electronics, Warsaw University of Technology, Koszykowa75, 00-662, Warsaw, Poland aut Macias Michal Institute of Control and Industrial Electronics, Warsaw University of Technology, Koszykowa75, 00-662, Warsaw, Poland aut Circuits, Systems, and Signal Processing Springer US; http://www.springer-ny.com 34/4(2015-04-01), 1077-1113 0278-081X 34:4<1077 2015 34 34 https://doi.org/10.1007/s00034-014-9895-1 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00034-014-9895-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Sierociuk Dominik Institute of Control and Industrial Electronics, Warsaw University of Technology, Koszykowa75, 00-662, Warsaw, Poland aut NATIONALLICENCE 700 1- Malesza Wiktor Institute of Control and Industrial Electronics, Warsaw University of Technology, Koszykowa75, 00-662, Warsaw, Poland aut NATIONALLICENCE 700 1- Macias Michal Institute of Control and Industrial Electronics, Warsaw University of Technology, Koszykowa75, 00-662, Warsaw, Poland aut NATIONALLICENCE 773 0- Circuits, Systems, and Signal Processing Springer US; http://www.springer-ny.com 34/4(2015-04-01), 1077-1113 0278-081X 34:4<1077 2015 34 34