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Fractional calculus of periodic distributions [PDF]
, 2011 Two approaches for defining fractional derivatives of periodic distributions are presented. The first is a distributional version of the Weyl fractional derivative in which a derivative of arbitrary order of a periodic distribution is defined via Fourier
Lamb, Wilson +5 more
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Event-based fractional order control
Journal of Advanced Research, 2020 The present study provides a generalization of event-based control to the field of fractional calculus, combining the benefits brought by the two approaches into an industrial-suitable control strategy.
Isabela Birs +3 more
doaj +1 more source
On Passivity of Fractional Order Systems [PDF]
SIAM Journal on Control and Optimization, 2019 We generalize notions of passivity and dissipativity to fractional order systems. Similar to integer order systems, we show that the proposed definitions generate analogous stability and compositionality properties for fractional order systems as well.
Mohsen Rakhshan +2 more
openaire +3 more sources
Mixed Order Fractional Observers for Minimal Realizations of Linear Time-Invariant Systems
Algorithms, 2018 Adaptive and non-adaptive minimal realization (MR) fractional order observers (FOO) for linear time-invariant systems (LTIS) of a possibly different derivation order (mixed order observers, MOO) are studied in this paper.
Manuel A. Duarte-Mermoud +3 more
doaj +1 more source
Fractional‐order backstepping strategy for fractional‐order model of COVID‐19 outbreak [PDF]
Mathematical Methods in the Applied Sciences, 2021 The coronavirus disease (COVID‐19) pandemic has impacted many nations around the world. Recently, new variant of this virus has been identified that have a much higher rate of transmission. Although vaccine production and distribution are currently underway, non‐pharmacological interventions are still being implemented as an important and fundamental ...
Amir Veisi, Hadi Delavari
openaire +3 more sources
Analysis of discrete time schemes for milling forces control under fractional order holds [PDF]
, 2013 In this paper, discrete time model reference control schemes for practical milling using different discretization of the continuous-time plant are presented. First, a basic controller scheme is addressed where a fractional order hold with pre-fixed value
De la Sen, Manuel +11 more
core +1 more source
Fractional Order Impedance Control
IEEE Access, 2020 This paper proposes a novel fractional order impedance control. In traditional impedance control model, the orders of inertia, damping, and stiffness are integers and the contact force can be reduced effectively to some extent in robots and manipulators.
Guangrong Chen +3 more
doaj +1 more source
Impulsive fractional order integrodifferential equation via fractional operators.
PLoS ONE, 2023 In this paper, we establish the existence and uniqueness of the solution to fractional equations abstract integrodifferential equation with impulsive as [Formula: see text] where [Formula: see text] and we used the fixed point theorems due to Banach ...
Ahmad Al-Omari, Hanan Al-Saadi
doaj +1 more source
Ain Shams Engineering Journal, 2023 This study introduces a novel numerical approach based on shifted fractional-order Gegenbauer wavelets. The technique aims to provide approximate solutions for a certain class of extremely significant fractional models of electrical Image 1, Image 2 ...
Pooja Yadav +2 more
doaj +1 more source
A comprehensive theoretical model for on-chip microring-based photonic fractional differentiators [PDF]
, 2015 Microring-based photonic fractional differentiators play an important role in the on-chip all-optical signal processing. Unfortunately, the previous works do not consider the time-reversal and the time delay characteristics of the microring-based ...
Yuan, Jinhui +25 more
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