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    Stability of Nonlinear Fractional Order Time Varying Systems

    Source: Journal of Computational and Nonlinear Dynamics:;2016:;volume( 011 ):;issue: 003::page 31007
    Author:
    Huang, Sunhua
    ,
    Zhang, Runfan
    ,
    Chen, Diyi
    DOI: 10.1115/1.4031587
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This paper is concerned with the stability of nonlinear fractionalorder time varying systems with Caputo derivative. By using Laplace transform, MittagLeffler function, and the Gronwall inequality, the sufficient condition that ensures local stability of fractionalorder systems with fractional order خ± : 0<خ±â‰¤1 and 1<خ±<2 is proposed, respectively. Moreover, the condition of the stability of fractionalorder systems with a statefeedback controller is been put forward. Finally, a numerical example is presented to show the validity and feasibility of the proposed method.
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      Stability of Nonlinear Fractional Order Time Varying Systems

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    contributor authorHuang, Sunhua
    contributor authorZhang, Runfan
    contributor authorChen, Diyi
    date accessioned2017-05-09T01:26:29Z
    date available2017-05-09T01:26:29Z
    date issued2016
    identifier issn1555-1415
    identifier othercnd_011_03_031007.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/160499
    description abstractThis paper is concerned with the stability of nonlinear fractionalorder time varying systems with Caputo derivative. By using Laplace transform, MittagLeffler function, and the Gronwall inequality, the sufficient condition that ensures local stability of fractionalorder systems with fractional order خ± : 0<خ±â‰¤1 and 1<خ±<2 is proposed, respectively. Moreover, the condition of the stability of fractionalorder systems with a statefeedback controller is been put forward. Finally, a numerical example is presented to show the validity and feasibility of the proposed method.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleStability of Nonlinear Fractional Order Time Varying Systems
    typeJournal Paper
    journal volume11
    journal issue3
    journal titleJournal of Computational and Nonlinear Dynamics
    identifier doi10.1115/1.4031587
    journal fristpage31007
    journal lastpage31007
    identifier eissn1555-1423
    treeJournal of Computational and Nonlinear Dynamics:;2016:;volume( 011 ):;issue: 003
    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