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＜E-Book＞
Construction of Global Lyapunov Functions Using Radial Basis Functions / by Peter Giesl
(Lecture Notes in Mathematics. ISSN:16179692 ; 1904)

Edition	1st ed. 2007.
Publisher	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
Year	2007
Language	English
Size	VIII, 171 p : online resource
Authors	*Giesl, Peter author SpringerLink (Online service)
Subjects	LCSH:Dynamical systems LCSH:Approximation theory LCSH:Differential equations FREE:Dynamical Systems FREE:Approximations and Expansions FREE:Differential Equations
Notes	Lyapunov Functions -- Radial Basis Functions -- Construction of Lyapunov Functions -- Global Determination of the Basin of Attraction -- Application of the Method: Examples 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 HTTP:URL=https://doi.org/10.1007/978-3-540-69909-5

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