Construction of Global Lyapunov Functions Using Radial Basis Functions / Edition 1

Construction of Global Lyapunov Functions Using Radial Basis Functions / Edition 1

by Peter Giesl
ISBN-10:
3540699074
ISBN-13:
9783540699071
Pub. Date:
05/18/2007
Publisher:
Springer Berlin Heidelberg

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Overview

Construction of Global Lyapunov Functions Using Radial Basis Functions / Edition 1

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.

Product Details

ISBN-13: 9783540699071
Publisher: Springer Berlin Heidelberg
Publication date: 05/18/2007
Series: Lecture Notes in Mathematics , #1904
Edition description: 2007
Pages: 171
Product dimensions: 6.10(w) x 9.25(h) x 0.02(d)

Table of Contents

1.Introduction.- 2.Lyapunov Functions.- 3.Radial Basis Functions.- 4.Construction of Lyapunov Functions.- 5.Global Determination of the Basin of Attraction.- 6.Application of the Method: Examples.- Appendices: A.Distributions and Fourier Transformation.- B.Data.- Notations.- References.

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