LEADER 02481nam 2200601 450 001 996466604303316 005 20220428094025.0 010 $a1-280-85342-5 010 $a9786610853427 010 $a3-540-69909-0 024 7 $a10.1007/978-3-540-69909-5 035 $a(CKB)1000000000282757 035 $a(EBL)3036584 035 $a(SSID)ssj0000129357 035 $a(PQKBManifestationID)11144429 035 $a(PQKBTitleCode)TC0000129357 035 $a(PQKBWorkID)10078508 035 $a(PQKB)11740228 035 $a(DE-He213)978-3-540-69909-5 035 $a(MiAaPQ)EBC3036584 035 $a(MiAaPQ)EBC6700442 035 $a(Au-PeEL)EBL6700442 035 $a(PPN)123159865 035 $a(EXLCZ)991000000000282757 100 $a20220428d2007 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aConstruction of global Lyapunov functions using radial basis functions /$fPeter Giesl 205 $a1st ed. 2007. 210 1$aBerlin ;$aHeidelberg ;$aNew York :$cSpringer,$d[2007] 210 4$dİ2007 215 $a1 online resource (174 p.) 225 1 $aLecture notes in mathematics (Springer-Verlag) ;$v1904 300 $aDescription based upon print version of record. 311 $a3-540-69907-4 320 $aIncludes bibliographical references (p. [161]-164) and index. 327 $aLyapunov Functions -- Radial Basis Functions -- Construction of Lyapunov Functions -- Global Determination of the Basin of Attraction -- Application of the Method: Examples. 330 $aThe basin of attraction of an equilibrium of an ordinary differential equation can be determined using a Lyapunov function. A new method to construct such a Lyapunov function using radial basis functions is presented in this volume intended for researchers and advanced students from both dynamical systems and radial basis functions. Besides an introduction to both areas and a detailed description of the method, it contains error estimates and many examples. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$v1904. 606 $aLyapunov functions 615 0$aLyapunov functions. 676 $a003.75 700 $aGiesl$b Peter$0472504 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466604303316 996 $aConstruction of Global Lyapunov Functions Using Radial Basis Functions$9230596 997 $aUNISA