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.
• Physical Description: VIII, 171 p. online resource.
• ISBN: 9783540699095
• ISSN: 0075-8434 ;

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.