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On the Energy Stored in Fractional-Order Electrical Elements
Volume 4: 18th Design for Manufacturing and the Life Cycle Conference; 2013 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, 2013In this paper, fractional-order electrical elements are considered as energy storage devices. They are studied by comparing the energy available from the element to do future external work, relative to the energy input into the element in the past. A standard circuit realization is used to represent the fractional-order element connected to an inductor
Tom T. Hartley +3 more
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Variable-, Fractional-Order Inertial Element
2016The paper concerns the dynamic properties of the variable-, fractional-order inertial element (VFOIE). The application of a negative feedback to the variable-, fractional-order integrator (VFOI) leads to the VFOIE. The investigations are supported by numerical examples.
Piotr Ostalczyk, Dorota Mozyrska
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On the stability of linear systems with fractional-order elements
Chaos, Solitons & Fractals, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Radwan, A. G. +3 more
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The modeling of multibody systems with fractional-order elements
Proceedings of the 14th International Carpathian Control Conference (ICCC), 2013The fractional-order models, that is models described by differential equations of arbitrary real order, are gaining popularity in advanced control theory. In this study, an implementation of fractional-order elements in multibody dynamics systems is shown.
Janusz Kowal, Wojciech Lepiarz
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Energy Considerations for Mechanical Fractional-Order Elements
Journal of Computational and Nonlinear Dynamics, 2014This paper considers the energy aspects of fractional-order elements defined by the equation: force is proportional to the fractional-order derivative of displacement, with order varying from zero to two. In contrast to the typically conservative assumption of classical physics that leads to the potential and kinetic energy expressions, a number of ...
Carl F. Lorenzo, Tom T. Hartley
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Design of Fully-Differential Frequency Filter with Fractional-Order Elements
2018 41st International Conference on Telecommunications and Signal Processing (TSP), 2018In the paper, a proposal of the fully-differential fractional-order frequency filter with controllability of its parameters is presented. The filter consists of Multi-Output Transconductance Amplifiers (MOTAs), Adjustable Current Amplifier (ACA) as active elements and two pairs of grounded capacitors. The paper contains analysis of the filter with FOEs
Jan Dvorak +4 more
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Analog Implementation of Fractional-Order Elements and Their Applications.
2019With advancements in the theory of fractional calculus and also with widespread engineering application of fractional-order systems, analog implementation of fractional-order integrators and differentiators have received considerable attention. This is due to the fact that this powerful mathematical tool allows us to describe and model a real-world ...
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MOS realizations of fractional-order elements
2022Stavroula Kapoulea +3 more
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Approximating the Fractional-Order Element for the Robust Control Framework
2022 American Control Conference (ACC), 2022Vlad Mihaly +3 more
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Adjustable Filter With Fractional-Order Element
2018This paper deals with fractal-order frequency filter, its design methods and practical use. The proposed filter consists of operational transconductance amplifiers (OTAs), adjustable current amplifier (ACA), dual-output current follower (DO-CF) and fractional-order capacitor (FOE).
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