Results 31 to 40 of about 10,658,834 (304)

Mixed Order Fractional Observers for Minimal Realizations of Linear Time-Invariant Systems

open access: yesAlgorithms, 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

Impulsive fractional order integrodifferential equation via fractional operators.

open access: yesPLoS 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

Shifted fractional order Gegenbauer wavelets method for solving electrical circuits model of fractional order

open access: yesAin 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

Fractional-order inverse filters revisited: Equivalence with fractional-order controllers

open access: yesMicroelectronics Journal, 2023
The equivalence of fractional-order inverse filters with fractional-order controllers is demonstrated in this work. This is achieved by appropriately rewriting the filters transfer functions in order to clarify the correspondence between the gain and time-constant of the filters and the scaling factor and differentiation/integration constant of the ...
Bertsias, Panagiotis   +5 more
openaire   +5 more sources

Chaos Control for a Fractional-Order Jerk System via Time Delay Feedback Controller and Mixed Controller

open access: yesFractal and Fractional, 2021
In this study, we propose a novel fractional-order Jerk system. Experiments show that, under some suitable parameters, the fractional-order Jerk system displays a chaotic phenomenon.
Changjin Xu   +5 more
semanticscholar   +1 more source

Conformable Fractional Order Sliding Mode Control for a Class of Fractional Order Chaotic Systems [PDF]

open access: yesInternational 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
doaj   +1 more source

Fractional order modelling of fractional-order holds [PDF]

open access: yesNonlinear 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

open access: yesApplied 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
doaj   +1 more source

Fractional-Order Euler-Lagrange Equation for Fractional-Order Variational Method: A Necessary Condition for Fractional-Order Fixed Boundary Optimization Problems in Signal Processing and Image Processing

open access: yesIEEE Access, 2016
This paper discusses a novel conceptual formulation of the fractional-order Euler-Lagrange equation for the fractional-order variational method, which is based on the fractional-order extremum method. In particular, the reverse incremental optimal search
Yi-Fei Pu
doaj   +1 more source

Fractional order heroin epidemic dynamics

open access: yesAlexandria Engineering Journal, 2021
Using illicit drugs has been on growth in all over the world especially in the USA, Europe and Asia. It is very harmful to society; it is the fourth foremost cause of death in the United States when taking overdose drug (about the same as motor vehicle ...
Zain Ul Abadin Zafar   +5 more
doaj   +1 more source

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