Construction of Global Lyapunov Functions Using Radial Basis Functions [electronic resource] / by Peter Giesl.

By: Giesl, Peter [author.]Contributor(s): SpringerLink (Online service)Material type: TextTextSeries: Lecture Notes in Mathematics ; 1904Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007Description: VIII, 171 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540699095Subject(s): Mathematics | Differentiable dynamical systems | Differential Equations | Mathematics | Dynamical Systems and Ergodic Theory | Approximations and Expansions | Ordinary Differential EquationsAdditional physical formats: Printed edition:: No titleDDC classification: 515.39 | 515.48 LOC classification: QA313Online resources: Click here to access online
Contents:
Lyapunov Functions -- Radial Basis Functions -- Construction of Lyapunov Functions -- Global Determination of the Basin of Attraction -- Application of the Method: Examples.
In: Springer eBooksSummary: The basin of attraction of an equilibrium of an ordinary differential equation can be determined using a Lyapunov function. A new method to construct such a Lyapunov function using radial basis functions is presented in this volume intended for researchers and advanced students from both dynamical systems and radial basis functions. Besides an introduction to both areas and a detailed description of the method, it contains error estimates and many examples.
Item type: E-BOOKS
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Lyapunov Functions -- Radial Basis Functions -- Construction of Lyapunov Functions -- Global Determination of the Basin of Attraction -- Application of the Method: Examples.

The basin of attraction of an equilibrium of an ordinary differential equation can be determined using a Lyapunov function. A new method to construct such a Lyapunov function using radial basis functions is presented in this volume intended for researchers and advanced students from both dynamical systems and radial basis functions. Besides an introduction to both areas and a detailed description of the method, it contains error estimates and many examples.

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