TY  - BOOK
AU  - 
ED  - SpringerLink (Online service)
TI  - Construction of Global Lyapunov Functions Using Radial Basis Functions
T2  - Lecture Notes in Mathematics,
SN  - 9783540699095
AV  - QA313 
U1  - 515.39 23
PY  - 2007///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Differentiable dynamical systems
KW  - Differential Equations
KW  - Dynamical Systems and Ergodic Theory
KW  - Approximations and Expansions
KW  - Ordinary Differential Equations
N1  - Lyapunov Functions -- Radial Basis Functions -- Construction of Lyapunov Functions -- Global Determination of the Basin of Attraction -- Application of the Method: Examples; ZDB-2-SMA; ZDB-2-LNM
N2  - 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
UR  - http://dx.doi.org/10.1007/978-3-540-69909-5
ER  -