Results 21 to 30 of about 177,367 (278)
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
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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
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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
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Fractional order differentiation by integration with Jacobi polynomials [PDF]
, 2012 The differentiation by integration method with Jacobi polynomials was originally introduced by Mboup, Join and Fliess. This paper generalizes this method from the integer order to the fractional order for estimating the fractional order derivatives of ...
Gibaru, Olivier +3 more
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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
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An Integral Equation Involving Legendre Functions [PDF]
, 1964 Rodrigues’s formula can be applied also to (1.1) and (1.3) but here the situation is slightly more involved in that the integrals with respect to σ^2 are of fractional order and their inversion requires the knowledge of differentiation and integration of
Erdélyi, A.
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Conformable Fractional Order Sliding Mode Control for a Class of Fractional Order Chaotic Systems [PDF]
International Journal of Industrial Electronics, Control and Optimization, 2019 In this paper, a novel conformable fractional order (FO) sliding mode control technique is studied for a class of FO chaotic systems in the presence of uncertainties and disturbances.
Sara Haghighatnia +2 more
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Fractional-Order Traveling Wave Approximations for a Fractional-Order Neural Field Model
Frontiers in Computational Neuroscience, 2022 In this work, we establish a fractional-order neural field mathematical model with Caputo's fractional derivative temporal order α considering 0 < α < 2, to analyze the effect of fractional-order on cortical wave features observed preceding seizure
Laura R. González-Ramírez
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Fractional order modelling of fractional-order holds [PDF]
Nonlinear Dynamics, 2012 Discrete time control systems require sample-and-hold circuits to perform the conversion from digital to analog. Fractional-Order Holds (FROHs) are an interpolation between the classical zero and first order holds and can be tuned to produce better system performance.
openaire +2 more sources
Fractional-Order LQR and State Observer for a Fractional-Order Vibratory System
Applied Sciences, 2021 The present study uses linear quadratic regulator (LQR) theory to control a vibratory system modeled by a fractional-order differential equation. First, as an example of such a vibratory system, a viscoelastically damped structure is selected.
Akihiro Takeshita +3 more
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