Construction of Global Lyapunov Functions Using Radial Basis Functions

• Main Author: Giesl, Peter (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.
• Series: Lecture Notes in Mathematics, 1904
• Subjects: Mathematics.; Approximation theory.; Dynamics.; Ergodic theory.; Differential equations.; Dynamical Systems and Ergodic Theory.; Approximations and Expansions.; Ordinary Differential Equations.

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 s...

Table of Contents:

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