Construction of global Lyapunov functions using radial basis functions

Author(s)

• Giesl, Peter

Bibliographic Information

Construction of global Lyapunov functions using radial basis functions

Peter Giesl

（Lecture notes in mathematics, 1904）

Springer, c2007

Note

Includes bibliographical references (p. [161]-164) and index

Description and Table of Contents

Description

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.

Table of Contents

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

by "Nielsen BookData"

Details

• NCID: BA81627037
• ISBN:
  • 9783540699071
• LCCN: 2007922353
• Country Code: gw
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Berlin
• Pages/Volumes: viii, 166 p.
• Size: 24 cm
• Subject Headings:
  • LCSH : Lyapunov functions
  • LCSH : Radial basis functions
• Parent Bibliography ID:
  • BA00146586
• Link:
  • dx.doi.org/10.1007/978-3-540-69909-5