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    A Lyapunov Function for Systems Whose Linear Part is Almost Classically Damped

    Source: Journal of Applied Mechanics:;1997:;volume( 064 ):;issue: 004::page 965
    Author:
    S. J. Cox
    ,
    J. Moro
    DOI: 10.1115/1.2789007
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: We show that one may construct a Lyapunov function for any classically damped linear system. The explicit nature of the construction permits us to show that it remains a Lyapunov function under both perturbation of the linear part and introduction of a nonlinear term. We apply our findings to a stability analysis of the discrete, as well as continuous, damped mechanical transmission line.
    keyword(s): Stability , Mechanical drives , Construction AND Damped linear dynamic systems ,
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      A Lyapunov Function for Systems Whose Linear Part is Almost Classically Damped

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    https://yetl.yabesh.ir/yetl1/handle/yetl/118125
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    contributor authorS. J. Cox
    contributor authorJ. Moro
    date accessioned2017-05-08T23:52:27Z
    date available2017-05-08T23:52:27Z
    date copyrightDecember, 1997
    date issued1997
    identifier issn0021-8936
    identifier otherJAMCAV-26428#965_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/118125
    description abstractWe show that one may construct a Lyapunov function for any classically damped linear system. The explicit nature of the construction permits us to show that it remains a Lyapunov function under both perturbation of the linear part and introduction of a nonlinear term. We apply our findings to a stability analysis of the discrete, as well as continuous, damped mechanical transmission line.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleA Lyapunov Function for Systems Whose Linear Part is Almost Classically Damped
    typeJournal Paper
    journal volume64
    journal issue4
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.2789007
    journal fristpage965
    journal lastpage968
    identifier eissn1528-9036
    keywordsStability
    keywordsMechanical drives
    keywordsConstruction AND Damped linear dynamic systems
    treeJournal of Applied Mechanics:;1997:;volume( 064 ):;issue: 004
    contenttypeFulltext
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