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    A Combined Time-Frequency Condition for Stability of Time-Varying Systems With One Nonlinearity

    Source: Journal of Dynamic Systems, Measurement, and Control:;1971:;volume( 093 ):;issue: 004::page 261
    Author:
    R. E. Blodgett
    ,
    K. P. Young
    DOI: 10.1115/1.3426511
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A means is presented for determining stability of linear time-varying systems with one feedback nonlinearity. The stability condition involves the minimization of certain time functions of the system coefficients as well as the imaginary axis behavior of a polynomial. It is required that the equation of the linear time-varying system be asymptotically stable and be in phase variable form. The nonlinearity is restricted to lie in a sector. For the limiting case of an autonomous linear system the criterion reduces to the Popov stability condition in certain cases.
    keyword(s): Stability , Time-varying systems , Equations , Feedback , Functions , Linear systems AND Polynomials ,
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      A Combined Time-Frequency Condition for Stability of Time-Varying Systems With One Nonlinearity

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    http://yetl.yabesh.ir/yetl1/handle/yetl/150211
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    • Journal of Dynamic Systems, Measurement, and Control

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    contributor authorR. E. Blodgett
    contributor authorK. P. Young
    date accessioned2017-05-09T00:54:20Z
    date available2017-05-09T00:54:20Z
    date copyrightDecember, 1971
    date issued1971
    identifier issn0022-0434
    identifier otherJDSMAA-25984#261_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/150211
    description abstractA means is presented for determining stability of linear time-varying systems with one feedback nonlinearity. The stability condition involves the minimization of certain time functions of the system coefficients as well as the imaginary axis behavior of a polynomial. It is required that the equation of the linear time-varying system be asymptotically stable and be in phase variable form. The nonlinearity is restricted to lie in a sector. For the limiting case of an autonomous linear system the criterion reduces to the Popov stability condition in certain cases.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleA Combined Time-Frequency Condition for Stability of Time-Varying Systems With One Nonlinearity
    typeJournal Paper
    journal volume93
    journal issue4
    journal titleJournal of Dynamic Systems, Measurement, and Control
    identifier doi10.1115/1.3426511
    journal fristpage261
    journal lastpage267
    identifier eissn1528-9028
    keywordsStability
    keywordsTime-varying systems
    keywordsEquations
    keywordsFeedback
    keywordsFunctions
    keywordsLinear systems AND Polynomials
    treeJournal of Dynamic Systems, Measurement, and Control:;1971:;volume( 093 ):;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
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