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Construction of global Lyapunov functions using radial basis functions - MaRDI portal

Construction of global Lyapunov functions using radial basis functions (Q877447)

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scientific article; zbMATH DE number 5145282
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Construction of global Lyapunov functions using radial basis functions
scientific article; zbMATH DE number 5145282

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    Construction of global Lyapunov functions using radial basis functions (English)
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    20 April 2007
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    The basin of attraction of an equilibrium of an ordinary differential equation can be determined using a Lyapunov function. In this book the author presents a new method to construct such a Lyapunov function using radial basis functions. Besides an introduction to both areas and a detailed description of the method, it contains error estimates and a lot of examples. This book is intended for researchers and advanced students from both dynamical systems and radial basis functions.
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    stability
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    Lyapunov functions
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    radial basis functions
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