Analytical Solutions for Charge and Flux in HP Ideal Generic Memristor Model With Joglekar and Prodromakis Window Functions

被引：0

作者：

Dautovic, Stanisa ^{[1
]}

Samardzic, Natasa ^{[1
]}

Juhas, Anamarija ^{[2
]}

Ascoli, Alon ^{[3
]}

Tetzlaff, Ronald ^{[4
]}

机构：

[1] Univ Novi Sad, Fac Tech Sci, Dept Power Elect & Telecommun Engn, Novi Sad 21000, Serbia

[2] Univ Novi Sad, Fac Tech Sci, Novi Sad 21000, Serbia

[3] Politecn Torino, Dept Elect & Telecommun, I-10129 Turin, Italy

[4] TUD Dresden Univ Technol, Inst Circuits & Syst, Fac Elect & Comp Engn, D-01069 Dresden, Germany

来源：

IEEE ACCESS | 2024年 / 12卷

关键词：

Memristors; Analytical models; Mathematical models; Optimization methods; Integrated circuit modeling; Numerical models; Semiconductor process modeling; Closed-form solutions; mathematical modeling; memristors; window function;

D O I：

10.1109/ACCESS.2024.3424568

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper presents, for the first time, analytical solutions for the charge and flux as a function of the state variable in the case of the HP memristor, modeled as an ideal generic memristor with Joglekar and Prodromakis window functions for a general value of the control parameter. The solutions are in the closed form of finite sums for an arbitrary positive integer values of the control parameter. Our approach is based on the decomposition of original problems using appropriate pairs of smooth hinge functions. The generalization of this approach allows us to define a novel window function based on smooth hinge functions, which brings simpler analytical expressions for charge and flux as a function of the state variable, and faster simulations when the model is used.

引用

页码：94870 / 94884

页数：15

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