1.

Record Nr.

UNISA996466604303316

Autore

Giesl Peter

Titolo

Construction of global Lyapunov functions using radial basis functions / / Peter Giesl

Pubbl/distr/stampa

Berlin ; ; Heidelberg ; ; New York : , : Springer, , [2007]

©2007

ISBN

1-280-85342-5

9786610853427

3-540-69909-0

Edizione

[1st ed. 2007.]

Descrizione fisica

1 online resource (174 p.)

Collana

Lecture notes in mathematics (Springer-Verlag) ; ; 1904

Disciplina

003.75

Soggetti

Lyapunov functions

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

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

Nota di contenuto

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

Sommario/riassunto

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.