Construction of global Lyapunov functions using radial basis functions
type: Item
instance of: scholarly article
title: Construction of global Lyapunov functions using radial basis functions
zbMATH Open document ID: 1121.34001
DOI: 10.1007/978-3-540-69909-5
author: Peter Giesl
published in: Lecture Notes in Mathematics
publication date: 2007-04-20T00:00:00Z
review text: The basin of attraction of an equilibrium of an ordinary differential equation can be determined using a Lyapunov function. In this book the author presents a new method to construct such a Lyapunov function using radial basis functions. Besides an introduction to both areas and a detailed description of the method, it contains error estimates and a lot of examples. This book is intended for researchers and advanced students from both dynamical systems and radial basis functions.
Mathematics Subject Classification ID: 34-02
Mathematics Subject Classification ID: 37-02
Mathematics Subject Classification ID: 34D20
zbMATH DE Number: 5145282
zbMATH Keywords: stability
zbMATH Keywords: Lyapunov functions
zbMATH Keywords: radial basis functions
reviewed by: Alexander O. Ignatyev
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/978-3-540-69909-5
OpenAlex ID: W202123838
description: scientific article; zbMATH DE number 5145282