Analog Circuit Implementation of Fractional-Order Memristor: Arbitrary-Order Lattice Scaling Fracmemristor

Pu, Yi-Fei; Yuan, Xiao; Bo, Yu

doi:10.1109/tcsi.2018.2789907

Cited by 59 publications

(25 citation statements)

References 58 publications

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“…Thus, according to Equation (1) and from Equations (6) and 7, we have (jω) α C f U c (ω) = jωCU c (ω). Therefore, we have C f = (jω) 1−α C. Hence, Theorem 1 holds.…”

Section: Theoremmentioning

confidence: 99%

“…Proof. The Fourier transform of (6) where F[uc(t)]. On the other hand, doing the Fourier transform of ( )…”

Section: Theorem 1 the Fractional Capacitance Cf May Be Expressed Bymentioning

confidence: 99%

“…Fractional elements, including a fractional capacitor and a fractional inductor, attract research interests in engineering. The literature about their analysis and applications is rich, see References [1][2][3][4][5][6][7][8][9][10], referring [11][12][13][14] to some recent work on fractional calculus. However, reports about power laws that fractional elements follow are rarely seen.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Power Laws in Fractionally Electronic Elements

2018

Fractal Fract

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“…Thus, according to Equation (1) and from Equations (6) and 7, we have (jω) α C f U c (ω) = jωCU c (ω). Therefore, we have C f = (jω) 1−α C. Hence, Theorem 1 holds.…”

Section: Theoremmentioning

confidence: 99%

“…Proof. The Fourier transform of (6) where F[uc(t)]. On the other hand, doing the Fourier transform of ( )…”

Section: Theorem 1 the Fractional Capacitance Cf May Be Expressed Bymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Power Laws in Fractionally Electronic Elements

2018

Fractal Fract

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“…On the other hand, due to the interdisciplinary nature of fractional calculus, there has been a growing research interest in using fractional-order calculus as a powerful tool in biochemical, medical and electrical engineering applications. In biomedical systems, it is shown that the accurate modelling of the biological cells and tissues require the utilization of fractional-order calculus [1][2][3].…”

Section: Introductionmentioning

confidence: 99%

“…The use of the fractional-calculus concept leads to the fractionalorder RLGC model of the transmission line, where the involved inductor and capacitor are used as the fractionalorder elements. In this model, fractional inductance is employed to model the skin effect, while the fractional order capacitance is used to model various nonidealities related to the dielectric [3,5]. Following up in this direction, we use the fractional order model to characterize the FR-4 PCB loss to obtain more accurate model of this easily accessible element in the hope of using this element in wide bandwidth 5G applications.…”

Section: Introductionmentioning

confidence: 99%

Characterization of Microstip Transmission Lines Using Fractional-order Circuit Model

Aydın¹,

Samancı²,

Özoğuz

2018

Balkan Journal of Electrical and Computer Engineering

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5G communication technology is used in very demanding applications, such as high-performance mobile devices, Internet of Things (IoT) applications, and wearable devices. Therefore, unlike the previous technologies, 5G technology requires massive bandwidth, mainly within three key frequency ranges, Sub-1 GHz, 1-6 GHz, and above 6 GHz. However, these challenges require more accurate and wide-band characterization of the circuits designed for 5G systems. To be specific, the losses, which can be neglected at lower frequencies, may substantially affect the performance of these circuits in the high frequency bands. This requires a comprehensive understanding and proper characterization of the loss mechanism within all frequency band of 5G. This paper investigates the viability of using the most common and easily accessible material FR-4 in circuits designed for 5G applications, and thus focuses on the proper modeling of the microstrip lines built around FR-4. For this purpose, we have used the fractionalorder model of the lossy dielectric material, and ended up with a more accurate and simple model which fits well within a wide frequency range, from 1GHz to 16GHz.

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Novel admissibility and robust stabilization conditions for fractional‐order singular systems with polytopic uncertainties

Zhang

2023

Asian Journal of Control

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This paper considers the issues of the admissibility and robust stabilization of fractional‐order singular systems with polytopic uncertainties and fractional‐order and . Firstly, the novel admissibility conditions for nominal fractional‐order singular systems are proposed with no conservatism and without any equalities or nonstrict inequalities. Secondly, the robust admissibility conditions for fractional‐order singular systems with polytopic uncertainties are given based on the admissibility conditions for nominal fractional‐order singular systems. Thirdly, to make the uncertain fractional‐order singular systems robustly admissible, the methods of designing the static output feedback controllers are obtained with wider application scope, which are direct, concise, and more relaxed compared with the existing results. All the results are proposed in terms of linear matrix inequalities. Finally, three illustrative examples are given to demonstrate the effectiveness of the results.

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Analog Circuit Implementation of Fractional-Order Memristor: Arbitrary-Order Lattice Scaling Fracmemristor

Cited by 59 publications

References 58 publications

Power Laws in Fractionally Electronic Elements

Power Laws in Fractionally Electronic Elements

Characterization of Microstip Transmission Lines Using Fractional-order Circuit Model

Novel admissibility and robust stabilization conditions for fractional‐order singular systems with polytopic uncertainties

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