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    Initial Conditions and Initialization of Fractional Systems

    Source: Journal of Computational and Nonlinear Dynamics:;2016:;volume( 011 ):;issue: 004::page 41014
    Author:
    Tari, Massinissa
    ,
    Maamri, Nezha
    ,
    Trigeassou, Jean
    DOI: 10.1115/1.4032695
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In this paper, the initialization of fractional order systems is analyzed. The objective is to prove that the usual pseudostate variable x(t) is unable to predict the future behavior of the system, whereas the infinite dimensional variable z(د‰, t) fulfills the requirements of a true state variable. Two fractional systems, a fractional integrator and a onederivative fractional system, are analyzed with the help of elementary tests and numerical simulations. It is proved that the dynamic behaviors of these two fractional systems differ completely from that of their integer order counterparts. More specifically, initialization of these systems requires knowledge of z(د‰,t0) initial condition.
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      Initial Conditions and Initialization of Fractional Systems

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    contributor authorTari, Massinissa
    contributor authorMaamri, Nezha
    contributor authorTrigeassou, Jean
    date accessioned2017-05-09T01:26:37Z
    date available2017-05-09T01:26:37Z
    date issued2016
    identifier issn1555-1415
    identifier othercnd_011_04_041014.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/160543
    description abstractIn this paper, the initialization of fractional order systems is analyzed. The objective is to prove that the usual pseudostate variable x(t) is unable to predict the future behavior of the system, whereas the infinite dimensional variable z(د‰, t) fulfills the requirements of a true state variable. Two fractional systems, a fractional integrator and a onederivative fractional system, are analyzed with the help of elementary tests and numerical simulations. It is proved that the dynamic behaviors of these two fractional systems differ completely from that of their integer order counterparts. More specifically, initialization of these systems requires knowledge of z(د‰,t0) initial condition.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleInitial Conditions and Initialization of Fractional Systems
    typeJournal Paper
    journal volume11
    journal issue4
    journal titleJournal of Computational and Nonlinear Dynamics
    identifier doi10.1115/1.4032695
    journal fristpage41014
    journal lastpage41014
    identifier eissn1555-1423
    treeJournal of Computational and Nonlinear Dynamics:;2016:;volume( 011 ):;issue: 004
    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
    yabeshDSpacePersian