YaBeSH Engineering and Technology Library

    • Journals
    • PaperQuest
    • YSE Standards
    • YaBeSH
    • Login
    View Item 
    •   YE&T Library
    • ASME
    • Journal of Applied Mechanics
    • View Item
    •   YE&T Library
    • ASME
    • Journal of Applied Mechanics
    • View Item
    • All Fields
    • Source Title
    • Year
    • Publisher
    • Title
    • Subject
    • Author
    • DOI
    • ISBN
    Advanced Search
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Archive

    A Procedure for Investigating the Liapunov Stability of Nonautonomous Linear Second-Order Systems

    Source: Journal of Applied Mechanics:;1973:;volume( 040 ):;issue: 004::page 1103
    Author:
    S. E. Jones
    ,
    T. R. Robe
    DOI: 10.1115/1.3423133
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Utilizing Liapunov’s direct method a procedure is presented which generates sufficient conditions for the stability of the null solution of the nonautonomous differential equation ẍ + b(t)ẋ + a(t)x = 0. This procedure systematically leads to the construction of a Liapunov function for a given differential equation and thus eliminates the normally ad hoc nature of the direct method. Four examples illustrating the procedure are discussed.
    keyword(s): Stability , Differential equations AND Construction ,
    • Download: (279.2Kb)
    • Show Full MetaData Hide Full MetaData
    • Get RIS
    • Item Order
    • Go To Publisher
    • Price: 5000 Rial
    • Statistics

      A Procedure for Investigating the Liapunov Stability of Nonautonomous Linear Second-Order Systems

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/163372
    Collections
    • Journal of Applied Mechanics

    Show full item record

    contributor authorS. E. Jones
    contributor authorT. R. Robe
    date accessioned2017-05-09T01:35:43Z
    date available2017-05-09T01:35:43Z
    date copyrightDecember, 1973
    date issued1973
    identifier issn0021-8936
    identifier otherJAMCAV-25994#1103_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/163372
    description abstractUtilizing Liapunov’s direct method a procedure is presented which generates sufficient conditions for the stability of the null solution of the nonautonomous differential equation ẍ + b(t)ẋ + a(t)x = 0. This procedure systematically leads to the construction of a Liapunov function for a given differential equation and thus eliminates the normally ad hoc nature of the direct method. Four examples illustrating the procedure are discussed.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleA Procedure for Investigating the Liapunov Stability of Nonautonomous Linear Second-Order Systems
    typeJournal Paper
    journal volume40
    journal issue4
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3423133
    journal fristpage1103
    journal lastpage1106
    identifier eissn1528-9036
    keywordsStability
    keywordsDifferential equations AND Construction
    treeJournal of Applied Mechanics:;1973:;volume( 040 ):;issue: 004
    contenttypeFulltext
    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
    yabeshDSpacePersian
     
    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
    yabeshDSpacePersian