Exact solutions for asymptotic stability: Non-linear systems (Q1804480)

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scientific article; zbMATH DE number 755058
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Exact solutions for asymptotic stability: Non-linear systems
scientific article; zbMATH DE number 755058

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    Exact solutions for asymptotic stability: Non-linear systems (English)
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    22 October 1995
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    This is another presentation of the author's new approach to the problems of construction of a Lyapunov function and of the exact determination of the domain of attraction of an asymptotically stable solution (see, e.g., [Int. J. Math. Math. Sci. 17, No. 1, 103-112 (1994; Zbl 0792.34047)], [Int. J. Syst. Sci. 23, No. 11, 1871-1888 (1992; Zbl 0771.93075)]; for an extension to time-varying systems see [Nonlinear Anal., Theory Methods Appl. 22, No. 8, 971-981 (1994; Zbl 0801.34052)]).
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    stability
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    Lyapunov function
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    domain of attraction
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