Construction of Global Lyapunov Functions Using Radial Basis Functions

Paperback Engels 2007 2007e druk 9783540699071
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Samenvatting

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.

Specificaties

ISBN13:9783540699071
Taal:Engels
Bindwijze:paperback
Aantal pagina's:171
Uitgever:Springer Berlin Heidelberg
Druk:2007

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Inhoudsopgave

Lyapunov Functions.- Radial Basis Functions.- Construction of Lyapunov Functions.- Global Determination of the Basin of Attraction.- Application of the Method: Examples.

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        Construction of Global Lyapunov Functions Using Radial Basis Functions