Publication detail

The Art of Finding Accurate Memristor Model Solutions

ASCOLI, A. TETZLAFF, R. BIOLEK, Z. KOLKA, Z. BIOLKOVÁ, V. BIOLEK, D.

Original Title

The Art of Finding Accurate Memristor Model Solutions

English Title

The Art of Finding Accurate Memristor Model Solutions

Type

journal article in Web of Science

Language

en

Original Abstract

One of the main issues preventing a large-scale exploration of the full potential of memristors in electrical circuits lies in the convergence issues and numerical errors encountered in the computer-aided integration of the differential algebraic equation set governing the peculiar dynamical behavior of these nonlinear two-terminal electrical components. In most cases the complexity of this equation set prevents an analytical derivation of closed-form state solutions. Therefore the investigation of the nonlinear dynamics of memristors and circuits based upon them relies on software-based integration of the mathematical equations. In this paper, we highlight solution accuracy issues which may arise from an improper numerical integration of the equations, and then propose techniques addressing the problems properly. These guidelines represent a useful guide to engineers interested in the numerical analysis of memristor models.

English abstract

One of the main issues preventing a large-scale exploration of the full potential of memristors in electrical circuits lies in the convergence issues and numerical errors encountered in the computer-aided integration of the differential algebraic equation set governing the peculiar dynamical behavior of these nonlinear two-terminal electrical components. In most cases the complexity of this equation set prevents an analytical derivation of closed-form state solutions. Therefore the investigation of the nonlinear dynamics of memristors and circuits based upon them relies on software-based integration of the mathematical equations. In this paper, we highlight solution accuracy issues which may arise from an improper numerical integration of the equations, and then propose techniques addressing the problems properly. These guidelines represent a useful guide to engineers interested in the numerical analysis of memristor models.

Keywords

memristor, model, accuracy, MATLAB, SPICE

RIV year

2015

Released

02.06.2015

Publisher

IEEE

Location

USA

Pages from

133

Pages to

142

Pages count

10

URL

BibTex


@article{BUT114990,
  author="Alon {Ascoli} and Ronald {Tetzlaff} and Zdeněk {Biolek} and Zdeněk {Kolka} and Viera {Biolková} and Dalibor {Biolek}",
  title="The Art of Finding Accurate Memristor Model Solutions",
  annote="One of the main issues preventing a large-scale exploration of the full potential of memristors in electrical circuits lies in the convergence issues and numerical errors encountered in the computer-aided integration of the differential algebraic equation set governing the peculiar dynamical behavior of these nonlinear two-terminal electrical components. In most cases the complexity of this equation set prevents an analytical derivation of closed-form state solutions. Therefore the investigation of the nonlinear dynamics of memristors and circuits based upon them relies on software-based integration of the mathematical equations. In this paper, we highlight solution accuracy issues which may arise from an improper numerical integration of the equations, and then propose techniques addressing the problems properly. These guidelines represent a useful guide to engineers interested in the numerical analysis of memristor models.",
  address="IEEE",
  chapter="114990",
  doi="10.1109/JETCAS.2015.2426493",
  institution="IEEE",
  number="2",
  volume="5",
  year="2015",
  month="june",
  pages="133--142",
  publisher="IEEE",
  type="journal article in Web of Science"
}