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    Effect of Correlation on the Almost-Sure Asymptotic Stability of Second-Order Linear Stochastic Systems

    Source: Journal of Applied Mechanics:;1989:;volume( 056 ):;issue: 003::page 685
    Author:
    S. T. Ariaratnam
    ,
    Wei Chau Xie
    DOI: 10.1115/1.3176147
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A method of obtaining a sufficient almost-sure (a.s.) asymptotic stability condition for second-order, linear systems with both ergodic damping and stiffness coefficients is presented. The probabilistic property of the correlation between the damping and stiffness coefficients is taken into account. A sufficient condition for a.s. asymptotic stability is derived and numerical results are presented for the case of Gaussian noise coefficients. Results obtained in some of the previous investigations are included in the present study as special cases.
    keyword(s): Stability , Stochastic systems , Stiffness , Damping , Linear systems AND Noise (Sound) ,
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      Effect of Correlation on the Almost-Sure Asymptotic Stability of Second-Order Linear Stochastic Systems

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    contributor authorS. T. Ariaratnam
    contributor authorWei Chau Xie
    date accessioned2017-05-08T23:29:06Z
    date available2017-05-08T23:29:06Z
    date copyrightSeptember, 1989
    date issued1989
    identifier issn0021-8936
    identifier otherJAMCAV-26311#685_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/104924
    description abstractA method of obtaining a sufficient almost-sure (a.s.) asymptotic stability condition for second-order, linear systems with both ergodic damping and stiffness coefficients is presented. The probabilistic property of the correlation between the damping and stiffness coefficients is taken into account. A sufficient condition for a.s. asymptotic stability is derived and numerical results are presented for the case of Gaussian noise coefficients. Results obtained in some of the previous investigations are included in the present study as special cases.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleEffect of Correlation on the Almost-Sure Asymptotic Stability of Second-Order Linear Stochastic Systems
    typeJournal Paper
    journal volume56
    journal issue3
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3176147
    journal fristpage685
    journal lastpage690
    identifier eissn1528-9036
    keywordsStability
    keywordsStochastic systems
    keywordsStiffness
    keywordsDamping
    keywordsLinear systems AND Noise (Sound)
    treeJournal of Applied Mechanics:;1989:;volume( 056 ):;issue: 003
    contenttypeFulltext
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