02481nam 2200601 450 99646660430331620220428094025.01-280-85342-597866108534273-540-69909-010.1007/978-3-540-69909-5(CKB)1000000000282757(EBL)3036584(SSID)ssj0000129357(PQKBManifestationID)11144429(PQKBTitleCode)TC0000129357(PQKBWorkID)10078508(PQKB)11740228(DE-He213)978-3-540-69909-5(MiAaPQ)EBC3036584(MiAaPQ)EBC6700442(Au-PeEL)EBL6700442(PPN)123159865(EXLCZ)99100000000028275720220428d2007 uy 0engur|n|---|||||txtccrConstruction of global Lyapunov functions using radial basis functions /Peter Giesl1st ed. 2007.Berlin ;Heidelberg ;New York :Springer,[2007]©20071 online resource (174 p.)Lecture notes in mathematics (Springer-Verlag) ;1904Description based upon print version of record.3-540-69907-4 Includes bibliographical references (p. [161]-164) and index.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.Lecture notes in mathematics (Springer-Verlag) ;1904.Lyapunov functionsLyapunov functions.003.75Giesl Peter472504MiAaPQMiAaPQMiAaPQBOOK996466604303316Construction of Global Lyapunov Functions Using Radial Basis Functions230596UNISA