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: Text

TextSeries: Lecture Notes in Mathematics ; 1904Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007Description: VIII, 171 p. online resourceContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9783540699095

Subject(s):

Additional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification:

515.39 23
515.48 23

LOC classification:

QA313

Online 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.

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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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