On the construction of Lyapunov functions. I (Q1883736)

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scientific article; zbMATH DE number 2107729
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On the construction of Lyapunov functions. I
scientific article; zbMATH DE number 2107729

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    On the construction of Lyapunov functions. I (English)
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    13 October 2004
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    The author studies vector fields on finite-dimensional smooth manifolds. To construct a Lyapunov function related to an equilibrium of a vector field, he uses the concept of `pilot function' introduced by him in [Autom. Remote Control 61, No. 4, Part 1, 585--594 (2000); translation from Avtom. Telemekh. 2000, No. 4, 51--60 (2000; Zbl 1060.34505)].
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    pilot function
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    Lyapunov function
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