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Sufficient conditions for stability of nonautnomous linear systems and estimation of domains of attraction of nonlinear systems - MaRDI portal

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Sufficient conditions for stability of nonautnomous linear systems and estimation of domains of attraction of nonlinear systems (Q1066345)

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scientific article; zbMATH DE number 3925329
Language Label Description Also known as
English
Sufficient conditions for stability of nonautnomous linear systems and estimation of domains of attraction of nonlinear systems
scientific article; zbMATH DE number 3925329

    Statements

    title
    Sufficient conditions for stability of nonautnomous linear systems and estimation of domains of attraction of nonlinear systems (English)
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    author
    Eh. M. Solnechnyj
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    publication date
    1985
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    review text
    The norm of the fundamental matrix is estimated and sufficient conditions for the asymptotic stability of the origin for linear, homogeneous, nonautonomous systems are given. Furthermore, these conditions are used to estimate the domain of attraction of the origin for autonomous differential equations with smooth right-hand side.
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    zbMATH Keywords
    matricant
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    linear inclusion
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    fundamental matrix
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    linear, homogeneous, nonautonomous systems
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    domain of attraction
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    autonomous differential equations
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    Identifiers

    zbMATH DE Number
    3925329
    0 references
     
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