Construction of Global Lyapunov Functions Using Radial Basis Functions

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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
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:
Διαθέσιμο Online:Full Text via HEAL-Link
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505 0 |a Lyapunov Functions -- Radial Basis Functions -- Construction of Lyapunov Functions -- Global Determination of the Basin of Attraction -- Application of the Method: Examples. 
520 |a 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. 
650 0 |a Mathematics. 
650 0 |a Approximation theory. 
650 0 |a Dynamics. 
650 0 |a Ergodic theory. 
650 0 |a Differential equations. 
650 1 4 |a Mathematics. 
650 2 4 |a Dynamical Systems and Ergodic Theory. 
650 2 4 |a Approximations and Expansions. 
650 2 4 |a Ordinary Differential Equations. 
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830 0 |a Lecture Notes in Mathematics,  |x 0075-8434 ;  |v 1904 
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