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    Information Closure Method for Dynamic Analysis of Nonlinear Stochastic Systems

    Source: Journal of Dynamic Systems, Measurement, and Control:;2002:;volume( 124 ):;issue: 003::page 353
    Author:
    R. J. Chang
    ,
    S. J. Lin
    DOI: 10.1115/1.1485746
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: An information closure method for analytical investigation of response statistics and robust stability of nonlinear stochastic dynamic systems is proposed. Entropy modes are defined first based on the decomposition of probability density functions estimated by maximizing entropy in quasi-stationary. Then the entropy modes are selected and employed in the moment equations as the constraints for information closure. The estimated density with Lagrange multipliers is used for the closure of the hierarchical moment equations. By selecting single independent mode in every state, an explicit analysis of the entropy and density function can be obtained. The performance of the closure method is supported by employing three stochastic systems with some stationary exact solutions and through Monte Carlo simulations.
    keyword(s): Density , Stability , Entropy , Equations , Stochastic systems AND Probability ,
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      Information Closure Method for Dynamic Analysis of Nonlinear Stochastic Systems

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    http://yetl.yabesh.ir/yetl1/handle/yetl/126507
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    • Journal of Dynamic Systems, Measurement, and Control

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    contributor authorR. J. Chang
    contributor authorS. J. Lin
    date accessioned2017-05-09T00:07:03Z
    date available2017-05-09T00:07:03Z
    date copyrightSeptember, 2002
    date issued2002
    identifier issn0022-0434
    identifier otherJDSMAA-26305#353_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/126507
    description abstractAn information closure method for analytical investigation of response statistics and robust stability of nonlinear stochastic dynamic systems is proposed. Entropy modes are defined first based on the decomposition of probability density functions estimated by maximizing entropy in quasi-stationary. Then the entropy modes are selected and employed in the moment equations as the constraints for information closure. The estimated density with Lagrange multipliers is used for the closure of the hierarchical moment equations. By selecting single independent mode in every state, an explicit analysis of the entropy and density function can be obtained. The performance of the closure method is supported by employing three stochastic systems with some stationary exact solutions and through Monte Carlo simulations.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleInformation Closure Method for Dynamic Analysis of Nonlinear Stochastic Systems
    typeJournal Paper
    journal volume124
    journal issue3
    journal titleJournal of Dynamic Systems, Measurement, and Control
    identifier doi10.1115/1.1485746
    journal fristpage353
    journal lastpage363
    identifier eissn1528-9028
    keywordsDensity
    keywordsStability
    keywordsEntropy
    keywordsEquations
    keywordsStochastic systems AND Probability
    treeJournal of Dynamic Systems, Measurement, and Control:;2002:;volume( 124 ):;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