Construction of Global Lyapunov Functions Using Radial Basis Functions

• Κύριος συγγραφέας: Giesl, Peter (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.
• Σειρά: Lecture Notes in Mathematics, 1904
• Θέματα: Mathematics.; Approximation theory.; Dynamics.; Ergodic theory.; Differential equations.; Dynamical Systems and Ergodic Theory.; Approximations and Expansions.; Ordinary Differential Equations.
• Φυσική περιγραφή: 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.