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    Calculating Positive Invariant Sets: A Quantifier Elimination Approach

    Source: Journal of Computational and Nonlinear Dynamics:;2019:;volume( 014 ):;issue: 007::page 74502
    Author:
    Röbenack, Klaus
    ,
    Voßwinkel, Rick
    ,
    Richter, Hendrik
    DOI: 10.1115/1.4043380
    Publisher: American Society of Mechanical Engineers (ASME)
    Abstract: A Lyapunov-based approach for calculating positive invariant sets in an automatic manner is presented. This is done using real algebraic geometry techniques, which are summed up under the term quantifier elimination (QE). Using available tools, the approach presented yields an algorithmizable procedure whose conservatism only depends on the initial choice for the Lyapunov candidate function. The performance of the approach is illustrated on a variant of the Rössler system and on the Lorenz-Haken system.
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      Calculating Positive Invariant Sets: A Quantifier Elimination Approach

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    https://yetl.yabesh.ir/yetl1/handle/yetl/4259161
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    contributor authorRöbenack, Klaus
    contributor authorVoßwinkel, Rick
    contributor authorRichter, Hendrik
    date accessioned2019-09-18T09:07:35Z
    date available2019-09-18T09:07:35Z
    date copyright5/13/2019 12:00:00 AM
    date issued2019
    identifier issn1555-1415
    identifier othercnd_014_07_074502
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4259161
    description abstractA Lyapunov-based approach for calculating positive invariant sets in an automatic manner is presented. This is done using real algebraic geometry techniques, which are summed up under the term quantifier elimination (QE). Using available tools, the approach presented yields an algorithmizable procedure whose conservatism only depends on the initial choice for the Lyapunov candidate function. The performance of the approach is illustrated on a variant of the Rössler system and on the Lorenz-Haken system.
    publisherAmerican Society of Mechanical Engineers (ASME)
    titleCalculating Positive Invariant Sets: A Quantifier Elimination Approach
    typeJournal Paper
    journal volume14
    journal issue7
    journal titleJournal of Computational and Nonlinear Dynamics
    identifier doi10.1115/1.4043380
    journal fristpage74502
    journal lastpage074502-5
    treeJournal of Computational and Nonlinear Dynamics:;2019:;volume( 014 ):;issue: 007
    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
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