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Open Access

The Extended Linear-Drift Model of Memristor and Its Piecewise Linear Approximation

Tsinghua National Laboratory for Information Science and Technology and Department of Automation, Tsinghua University, Beijing 100084, China.
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Abstract

Memristor is introduced as the fourth basic circuit element. Memristor exhibits great potential for numerous applications, such as emulating synapse, while the mathematical model of the memristor is still an open subject. In the linear-drift model, the boundary condition of the device is not considered. This paper proposes an extended linear-drift model of the memristor. The extended linear-drift model keeps the linear characteristic and simplicity of the linear-drift model and considers the boundary condition of the device. A piecewise linear approximation model of the extended linear-drift model is given. Both models are suitable for describing the memristor.

Keywords

memristormathematical modelpiecewise linearhysteresis

References

[1]
L. Chua, Memristor-the missing circuit element, Circuit Theory, IEEE Transactions on, vol. 18, no. 5, pp. 507-519, 1971.
Crossref Google Scholar
[2]
M. Di Ventra, Y. Pershin, and L. Chua, Circuit elements with memory: Memristors, memcapacitors, and meminductors, Proceedings of the IEEE, vol. 97, no. 10, pp. 1717-1724, 2009.
Crossref Google Scholar
[3]
H. Kim, M. Sah, C. Yang, S. Cho, and L. Chua, Memristor emulator for memristor circuit applications, Circuits and Systems I: Regular Papers, IEEE Transactions on, vol. 59, no. 10, pp. 2422-2431, 2012.
Crossref Google Scholar
[4]
M. Itoh and L. Chua, Memristor oscillators, International Journal of Bifurcation Chaos in Applied Sciences and Engineer, vol. 18, no. 11, p. 3183, 2008.
Crossref Google Scholar
[5]
F. Merrikh-Bayat, S. Bagheri-Shouraki, and A. Rohani, Memristor crossbar-based hardware implementation of ids method, Fuzzy Systems, IEEE Transactions on, vol. 19, no. 6, pp. 1083-1096, 2010.
Crossref Google Scholar
[6]
L. Chua and S. Kang, Memristive devices and systems, Proceedings of the IEEE, vol. 64, no. 2, pp. 209-223, 1976.
Crossref Google Scholar
[7]
D. Strukov, G. Snider, D. Stewart, and R. Williams, The missing memristor found, Nature, vol. 453, no. 7191, pp. 80-83, 2008.
Crossref Google Scholar
[8]
Y. Joglekar and S. Wolf, The elusive memristor: Properties of basic electrical circuits, European Journal of Physics, vol. 30, no. 4, p. 661, 2009.
Crossref Google Scholar
[9]
R. Williams, How we found the missing memristor, Spectrum, IEEE, vol. 45, no. 12, pp. 28-35, 2008.
Crossref Google Scholar
[10]
Y. Pershin and M. Di Ventra, Solving mazes with memristors: A massively parallel approach, Physical Review E, vol. 84, no. 4, 046703, 2011.
Crossref Google Scholar
[11]
Z. Biolek, D. Biolek, and V. Biolková, Spice model of memristor with nonlinear dopant drift, Radioengineering, vol. 18, no. 2, pp. 210-214, 2009.
Google Scholar
[12]
S. Shin, K. Kim, and S. Kang, Compact models for memristors based on charge-flux constitutive relationships, Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions on, vol. 29, no. 4, pp. 590-598, 2010.
Crossref Google Scholar
[13]
Á. Rák and G. Cserey, Macromodeling of the memristor in spice, Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions on, vol. 29, no. 4, pp. 632-636, 2010.
Crossref Google Scholar
[14]
S. Adhikari, C. Yang, H. Kim, and L. Chua, Memristor bridge synapse-based neural network and its learning, Neural Networks and Learning Systems, IEEE Transactions on, vol. 23, no. 9, pp. 1426-1435, 2012.
Crossref Google Scholar
[15]
Z. Sun, Stability of piecewise linear systems revisited, Annual Reviews in Control, vol. 34, no. 2, pp. 221-231, 2010.
Crossref Google Scholar
[16]
X. Huang, J. Xu, X. Mu, and S. Wang, The hill detouring method for minimizing hinging hyperplanes functions, Computers & Operations Research, vol. 39, no. 7, pp. 1763-1770, 2012.
Crossref Google Scholar
[17]
J. Borghetti, G. Snider, P. Kuekes, J. Yang, D. Stewart, and R. Williams, ‘Memristive’ switches enable ‘stateful’ logic operations via material implication, Nature, vol. 464, no. 7290, pp. 873-876, 2010.
Crossref Google Scholar
Tsinghua Science and Technology
Volume 19 Issue 3,
June 2014
Pages 307-313
DOI: 10.1109/TST.2014.6838202
Cite this article:
Mu X, Yu J, Wang S. The Extended Linear-Drift Model of Memristor and Its Piecewise Linear Approximation. Tsinghua Science and Technology, 2014, 19(3): 307-313. https://doi.org/10.1109/TST.2014.6838202

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Received: 02 July 2013
Revised: 26 March 2014
Accepted: 08 April 2014
Published: 18 June 2014
© The author(s) 2014
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