Construction of Global Lyapunov Functions Using Radial Basis Functions

  • Peter Giesl

Part of the Lecture Notes in Mathematics book series (LNM, volume 1904)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Pages 1-10
  3. Pages 11-59
  4. Back Matter
    Pages 149-170

About this book

Introduction

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.

Keywords

Lyapunov function basin of attraction distribution error estimates ordinary differential equation radial basis functions

Authors and affiliations

  • Peter Giesl
    • 1
  1. 1.University of Technology MünchenGarching bei MünchenGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-69909-5
  • Copyright Information Springer-Verlag Berlin Heidelberg 2007
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-540-69907-1
  • Online ISBN 978-3-540-69909-5
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book