Analytical Solutions for Charge and Flux in HP Ideal Generic Memristor Model With Joglekar and Prodromakis Window Functions(Article)(Open Access)
- aUniversity of Novi Sad, Faculty of Technical Sciences, Department of Power, Electronics and Telecommunication Engineering, Novi Sad, 21000, Serbia
- bUniversity of Novi Sad, Faculty of Technical Sciences, Novi Sad, 21000, Serbia
- cPolitecnico di Torino, Department of Electronics and Telecommunications, Turin, 10129, Italy
- dInstitute of Circuits and Systems, TUD Dresden University of Technology, Faculty of Electrical and Computer Engineering, Dresden, 01069, Germany
Abstract
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. © 2013 IEEE.
Indexed keywords
| Engineering controlled terms: | Circuit simulationIntegrated circuitsMemristorsNumerical methodsNumerical modelsTiming circuits |
|---|---|
| Engineering uncontrolled terms | Closed form solutionsIntegrated circuit modelingMathematical modelingMemristorOptimization methodSemiconductor process modelingState-variablesWindow functions |
| Engineering main heading: | Analytical models |
Funding details
| Funding sponsor | Funding number | Acronym |
|---|---|---|
| 451-03-65/2024-03/200156 | ||
| 01-3394/1 |
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1
This work was supported in part by the Serbian Ministry of Science, Technological Development and Innovation (Contract No. 451-03-65/2024-03/200156) and the Faculty of Technical Sciences, University of Novi Sad through project \u201CScientific and Artistic Research Work of Researchers in Teaching and Associate Positions at the Faculty of Technical Sciences, University of Novi Sad\u201D under Grant No. 01-3394/1. Dedicated to the memory of Professor Anamarija Juhas (1964-2020).
- ISSN: 21693536
- Source Type: Journal
- Original language: English
- DOI: 10.1109/ACCESS.2024.3424568
- Document Type: Article
- Publisher: Institute of Electrical and Electronics Engineers Inc.
Samardzic, N.; University of Novi Sad, Faculty of Technical Sciences, Department of Power, Electronics and Telecommunication Engineering, Novi Sad, Serbia;
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