Memfractance: a mathematical paradigm for circuit elements with memory

MS Abdelouahab, R Lozi, L Chua - International Journal of …, 2014 - World Scientific
Memristor, the missing fourth passive circuit element predicted forty years ago by Chua was
recognized as a nanoscale device in 2008 by researchers of a HP Laboratory. Recently the …

Do RNN and LSTM have long memory?

J Zhao, F Huang, J Lv, Y Duan, Z Qin… - International …, 2020 - proceedings.mlr.press
The LSTM network was proposed to overcome the difficulty in learning long-term
dependence, and has made significant advancements in applications. With its success and …

Fractional-order circuits and systems: An emerging interdisciplinary research area

AS Elwakil - IEEE Circuits and Systems Magazine, 2010 - ieeexplore.ieee.org
A recent article published in this magazine has labeled fractional-order continuous-time
systems as the" 21st century systems". Indeed, this emerging research area is slowly gaining …

Studies on fractional order differentiators and integrators: A survey

BT Krishna - Signal processing, 2011 - Elsevier
Studies on analysis, design and applications of analog and digital differentiators and
integrators of fractional order is the main objective of this paper. Time and frequency domain …

On the stability of linear systems with fractional-order elements

AG Radwan, AM Soliman, AS Elwakil… - Chaos, Solitons & Fractals, 2009 - Elsevier
Linear integer-order circuits are a narrow subset of rational-order circuits which are in turn a
subset of fractional-order. Here, we study the stability of circuits having one fractional …

Fractional-order sinusoidal oscillators: design procedure and practical examples

AG Radwan, AS Elwakil… - IEEE Transactions on …, 2008 - ieeexplore.ieee.org
Sinusoidal oscillators are known to be realized using dynamical systems of second-order or
higher. Here we derive the Barhkausen condition for a linear noninteger-order (fractional …

Fractional order Butterworth filter: active and passive realizations

AS Ali, AG Radwan, AM Soliman - IEEE journal on emerging …, 2013 - ieeexplore.ieee.org
This paper presents a general procedure to obtain Butterworth filter specifications in the
fractional-order domain where an infinite number of relationships could be obtained due to …

On the generalization of second-order filters to the fractional-order domain

AG Radwan, AS Elwakil, AM Soliman - Journal of Circuits, Systems …, 2009 - World Scientific
This work is aimed at generalizing the design of continuous-time second-order filters to the
non-integer-order (fractional-order) domain. In particular, we consider here the case where a …

A survey of single and multi-component Fractional-Order Elements (FOEs) and their applications

ZM Shah, MY Kathjoo, FA Khanday, K Biswas… - Microelectronics …, 2019 - Elsevier
Fractional-Order circuits and networks being a widely researched field lags in its
development due to the non-availability of its basic building block ie Fractional-Order …

Field programmable analogue array implementation of fractional step filters

TJ Freeborn, B Maundy, AS Elwakil - IET circuits, devices & systems, 2010 - IET
In this study, the authors propose the use of field programmable analogue array hardware to
implement an approximated fractional step transfer function of order (n+ α) where n is an …