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    Lyapunov Stability, Semistability, and Asymptotic Stability of Matrix Second-Order Systems

    Source: Journal of Vibration and Acoustics:;1995:;volume( 117 ):;issue: B::page 145
    Author:
    D. S. Bernstein
    ,
    S. P. Bhat
    DOI: 10.1115/1.2838656
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Necessary and sufficient conditions for Lyapunov stability, semistability and asymptotic stability of matrix second-order systems are given in terms of the coefficient matrices. Necessary and sufficient conditions for Lyapunov stability and instability in the absence of viscous damping are also given. These are used to derive several known stability and instability criteria as well as a few new ones. In addition, examples are given to illustrate the stability conditions.
    keyword(s): Stability AND Damping ,
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      Lyapunov Stability, Semistability, and Asymptotic Stability of Matrix Second-Order Systems

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    http://yetl.yabesh.ir/yetl1/handle/yetl/116255
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    contributor authorD. S. Bernstein
    contributor authorS. P. Bhat
    date accessioned2017-05-08T23:48:49Z
    date available2017-05-08T23:48:49Z
    date copyrightJune, 1995
    date issued1995
    identifier issn1048-9002
    identifier otherJVACEK-28827#145_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/116255
    description abstractNecessary and sufficient conditions for Lyapunov stability, semistability and asymptotic stability of matrix second-order systems are given in terms of the coefficient matrices. Necessary and sufficient conditions for Lyapunov stability and instability in the absence of viscous damping are also given. These are used to derive several known stability and instability criteria as well as a few new ones. In addition, examples are given to illustrate the stability conditions.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleLyapunov Stability, Semistability, and Asymptotic Stability of Matrix Second-Order Systems
    typeJournal Paper
    journal volume117
    journal issueB
    journal titleJournal of Vibration and Acoustics
    identifier doi10.1115/1.2838656
    journal fristpage145
    journal lastpage153
    identifier eissn1528-8927
    keywordsStability AND Damping
    treeJournal of Vibration and Acoustics:;1995:;volume( 117 ):;issue: B
    contenttypeFulltext
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