SOFTWARE IMPLEMENTATION OF MEMFRACTOR – GENERALIZED ELECTRICAL ELEMENT WITH MEMORY
DOI:
https://doi.org/10.24867/07BE01ZoranovicKeywords:
memfractor, fractor, fractional calculus, memristor, memcapacitor, meminductorAbstract
In this paper software implementation of the mathematical model of memfractional element has been developed. The model of generalized electrical circuit element based on generalized Ohm's law is described using fractional calculus. Fractors, or more general memfractors, are implemented in MATLAB and Simulink. The interpolated characteristics of memelements between a memcapacitor, memristor, meminductor and 2nd-order memristor, are shown as particular cases of memfractor’s characteristics.
References
[1] L. Chua, “Memristor - The Missing Circuit Element”, IEEE Transactions on Circuit Theory, vol. 18, no. 5, 1971.
[2] M.-S. Abdelouahab, R. Lozi and L. Chua, “Memfractance: A Mathematical Paradigm for Circuit Elements with Memory”, International Journal of Bifurcation and Chaos, World Scientific Publishing, pp.1430023- 1430023-29, 2014.
[3] I. Podlubny, “Fractional differential equations”, Academic Press, San Diego, 1999.
[4] A. Loverro, “Fractional Calculus History, Definitions and Applications for the Engineer”, Rapport technique, Univeristy of Notre Dame, IN 46556, U.S.A., 2004.
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[6] Shyam Prasad Adhikari, et al, “Three fingerprints of Memristor”, IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 60, no. 11, 2013.
[7] L. Chua et al, “Nonlinear Circuit Foundations for Nanodevices”, Proceedings of the IEEE, vol. 91, no. 11, 2003.
[8] A. Tepljakov, E. Petlenkov, and J. Belikov, “Fomcon: a MATLAB Toolbox for Fractional- order System Identification and Control”, International journal of microelectronics and computer science, vol. 2, no. 2, 2011.
[2] M.-S. Abdelouahab, R. Lozi and L. Chua, “Memfractance: A Mathematical Paradigm for Circuit Elements with Memory”, International Journal of Bifurcation and Chaos, World Scientific Publishing, pp.1430023- 1430023-29, 2014.
[3] I. Podlubny, “Fractional differential equations”, Academic Press, San Diego, 1999.
[4] A. Loverro, “Fractional Calculus History, Definitions and Applications for the Engineer”, Rapport technique, Univeristy of Notre Dame, IN 46556, U.S.A., 2004.
[5] L.Chua, “Everything You Wish to Know About Memristors but are afraid to ask”, Radioengineering, vol. 24, no. 2, 2015.
[6] Shyam Prasad Adhikari, et al, “Three fingerprints of Memristor”, IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 60, no. 11, 2013.
[7] L. Chua et al, “Nonlinear Circuit Foundations for Nanodevices”, Proceedings of the IEEE, vol. 91, no. 11, 2003.
[8] A. Tepljakov, E. Petlenkov, and J. Belikov, “Fomcon: a MATLAB Toolbox for Fractional- order System Identification and Control”, International journal of microelectronics and computer science, vol. 2, no. 2, 2011.
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Published
2020-02-18
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Section
Electrotechnical and Computer Engineering
