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contributor authorHartley, Tom T.
contributor authorTrigeassou, Jean
contributor authorLorenzo, Carl F.
contributor authorMaamri, Nezha
date accessioned2017-05-09T01:15:56Z
date available2017-05-09T01:15:56Z
date issued2015
identifier issn1555-1415
identifier othercnd_010_06_061006.pdf
identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/157347
description abstractAs fractionalorder systems are becoming more widely accepted and their usage is increasing, it is important to understand their energy storage and loss properties. Fractionalorder operators can be implemented using a distributed state representation, which has been shown to be equivalent to the Riemann–Liouville representation. In this paper, the distributed state for a fractionalorder integrator is represented using an infinite resistor–capacitor network such that the energy storage and loss properties can be readily determined. This derivation is repeated for fractionalorder derivatives using an infinite resistor–inductor network. An analytical example is included to verify the results for a halforder integrator. Approximation methods are included.
publisherThe American Society of Mechanical Engineers (ASME)
titleEnergy Storage and Loss in Fractional Order Systems
typeJournal Paper
journal volume10
journal issue6
journal titleJournal of Computational and Nonlinear Dynamics
identifier doi10.1115/1.4029511
journal fristpage61006
journal lastpage61006
identifier eissn1555-1423
treeJournal of Computational and Nonlinear Dynamics:;2015:;volume( 010 ):;issue: 006
contenttypeFulltext


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