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    Stabilization Conditions for a Class of Fractional-Order Nonlinear Systems

    Source: Journal of Computational and Nonlinear Dynamics:;2019:;volume( 014 ):;issue: 005::page 54501
    Author:
    Huang, Sunhua
    ,
    Wang, Bin
    DOI: 10.1115/1.4042999
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The stabilization problem of fractional-order nonlinear systems for 0<α<1 is studied in this paper. Based on Mittag-Leffler function and the Lyapunov stability theorem, two practical stability conditions that ensure the stabilization of a class of fractional-order nonlinear systems are proposed. These stability conditions are given in terms of linear matrix inequalities and are easy to implement. Moreover, based on these conditions, the method for the design of state feedback controllers is given, and the conditions that enable the fractional-order nonlinear closed-loop systems to assure stability are provided. Finally, a representative case is employed to confirm the validity of the designed scheme.
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      Stabilization Conditions for a Class of Fractional-Order Nonlinear Systems

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    contributor authorHuang, Sunhua
    contributor authorWang, Bin
    date accessioned2019-06-08T09:28:50Z
    date available2019-06-08T09:28:50Z
    date copyright3/14/2019 12:00:00 AM
    date issued2019
    identifier issn1555-1415
    identifier othercnd_014_05_054501.pdf
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4257614
    description abstractThe stabilization problem of fractional-order nonlinear systems for 0<α<1 is studied in this paper. Based on Mittag-Leffler function and the Lyapunov stability theorem, two practical stability conditions that ensure the stabilization of a class of fractional-order nonlinear systems are proposed. These stability conditions are given in terms of linear matrix inequalities and are easy to implement. Moreover, based on these conditions, the method for the design of state feedback controllers is given, and the conditions that enable the fractional-order nonlinear closed-loop systems to assure stability are provided. Finally, a representative case is employed to confirm the validity of the designed scheme.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleStabilization Conditions for a Class of Fractional-Order Nonlinear Systems
    typeJournal Paper
    journal volume14
    journal issue5
    journal titleJournal of Computational and Nonlinear Dynamics
    identifier doi10.1115/1.4042999
    journal fristpage54501
    journal lastpage054501-6
    treeJournal of Computational and Nonlinear Dynamics:;2019:;volume( 014 ):;issue: 005
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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