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    Energy Storage and Loss in Fractional Order Systems

    Source: Journal of Computational and Nonlinear Dynamics:;2015:;volume( 010 ):;issue: 006::page 61006
    Author:
    Hartley, Tom T.
    ,
    Trigeassou, Jean
    ,
    Lorenzo, Carl F.
    ,
    Maamri, Nezha
    DOI: 10.1115/1.4029511
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: As 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.
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      Energy Storage and Loss in Fractional Order Systems

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    https://yetl.yabesh.ir/yetl1/handle/yetl/157347
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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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    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
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