Memfractance: a mathematical paradigm for circuit elements with memory
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 …
recognized as a nanoscale device in 2008 by researchers of a HP Laboratory. Recently the …
Do RNN and LSTM have long memory?
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 …
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 …
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 …
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
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 …
subset of fractional-order. Here, we study the stability of circuits having one fractional …
Fractional-order sinusoidal oscillators: design procedure and practical examples
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 …
higher. Here we derive the Barhkausen condition for a linear noninteger-order (fractional …
Fractional order Butterworth filter: active and passive realizations
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 …
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
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 …
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
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 …
development due to the non-availability of its basic building block ie Fractional-Order …
Field programmable analogue array implementation of fractional step filters
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 …
implement an approximated fractional step transfer function of order (n+ α) where n is an …