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    Stochastic Sample Stability of Oscillatory Systems

    Source: Journal of Applied Mechanics:;1988:;volume( 055 ):;issue: 002::page 458
    Author:
    S. T. Ariaratnam
    ,
    W.-C. Xie
    DOI: 10.1115/1.3173699
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A method of obtaining a sufficient almost-sure asymptotic stability condition for second-order, linear oscillatory systems with an ergodic damping coefficient is presented. In this method, the probabilistic property of the derivative process of the damping coefficient is taken into account. A sufficient condition for almost-sure asymptotic stability is derived and numerical results are presented for the case of a Gaussian noise coefficient. The results are found to be an improvement over previously available results for oscillatory systems with stochastic damping.
    keyword(s): Stability , Damping AND Noise (Sound) ,
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      Stochastic Sample Stability of Oscillatory Systems

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    http://yetl.yabesh.ir/yetl1/handle/yetl/103558
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    contributor authorS. T. Ariaratnam
    contributor authorW.-C. Xie
    date accessioned2017-05-08T23:26:37Z
    date available2017-05-08T23:26:37Z
    date copyrightJune, 1988
    date issued1988
    identifier issn0021-8936
    identifier otherJAMCAV-26294#458_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/103558
    description abstractA method of obtaining a sufficient almost-sure asymptotic stability condition for second-order, linear oscillatory systems with an ergodic damping coefficient is presented. In this method, the probabilistic property of the derivative process of the damping coefficient is taken into account. A sufficient condition for almost-sure asymptotic stability is derived and numerical results are presented for the case of a Gaussian noise coefficient. The results are found to be an improvement over previously available results for oscillatory systems with stochastic damping.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleStochastic Sample Stability of Oscillatory Systems
    typeJournal Paper
    journal volume55
    journal issue2
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3173699
    journal fristpage458
    journal lastpage460
    identifier eissn1528-9036
    keywordsStability
    keywordsDamping AND Noise (Sound)
    treeJournal of Applied Mechanics:;1988:;volume( 055 ):;issue: 002
    contenttypeFulltext
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