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ASCOLI, A. TETZLAFF, R. BIOLEK, Z. BIOLEK, D. BIOLKOVÁ, V. KOLKA, Z.
Originální název
Techniques for reliable and accurate numerical solutions of memristor models
Typ
článek ve sborníku ve WoS nebo Scopus
Jazyk
angličtina
Originální abstrakt
This work presents techniques for an accurate numerical simulation of memristor models. In physics-based models of extended memristors under indirect excitation, the solution of the state equations is constrained to lie on specific manifolds at all times. A possible algorithm for the determination of numerical solutions to the algebraic differential equation set typical of these systems consists of augmenting the state vector with a novel variable which is invariant on the manifold. Solving the resulting ordinary differential equation problem simplifies the simulation since the algebraic constraint is embedded into the state equations. Regarding mathematical descriptions of generic memristors, where the state may only lie within a closed set, a procedure identifying each undesired event where the state either exceeds the upper bound or goes below the lower one, stopping the current simulation, starting a new one with initial condition set to the violated limit, and finally concatenating the time series of the various simulation sections, ensures a well-behaved simulation run, and, consequently, a reliable numerical solution. Examples from a number of case studies demonstrate that the adoption of the proposed techniques prevents possible issues emerging in classical numerical integration methodologies, resulting in well-behaved state solutions, thus allowing a meaningful exploration of the full potential of memristors in electronic circuit design.
Klíčová slova
memristor; spice; simulation
Autoři
ASCOLI, A.; TETZLAFF, R.; BIOLEK, Z.; BIOLEK, D.; BIOLKOVÁ, V.; KOLKA, Z.
Rok RIV
2015
Vydáno
24. 8. 2015
Nakladatel
IEEE
Místo
Trondheim, Norway
ISBN
9781479998777
Kniha
2015 European Conference on Circuit Theory and Design (ECCTD)
Strany od
17
Strany do
20
Strany počet
4
URL
https://ieeexplore.ieee.org/document/7300123
BibTex
@inproceedings{BUT118181, author="Alon {Ascoli} and Ronald {Tetzlaff} and Zdeněk {Biolek} and Dalibor {Biolek} and Viera {Biolková} and Zdeněk {Kolka}", title="Techniques for reliable and accurate numerical solutions of memristor models", booktitle="2015 European Conference on Circuit Theory and Design (ECCTD)", year="2015", pages="17--20", publisher="IEEE", address="Trondheim, Norway", doi="10.1109/ECCTD.2015.7300123", isbn="9781479998777", url="https://ieeexplore.ieee.org/document/7300123" }