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020 _a9783540699095
_9978-3-540-69909-5
024 7 _a10.1007/978-3-540-69909-5
_2doi
050 4 _aQA313
072 7 _aPBWR
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aPBWR
_2thema
082 0 4 _a515.39
_223
082 0 4 _a515.48
_223
100 1 _aGiesl, Peter.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aConstruction of Global Lyapunov Functions Using Radial Basis Functions
_h[electronic resource] /
_cby Peter Giesl.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2007.
300 _aVIII, 171 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1904
505 0 _aLyapunov Functions -- Radial Basis Functions -- Construction of Lyapunov Functions -- Global Determination of the Basin of Attraction -- Application of the Method: Examples.
520 _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.
650 0 _aDifferentiable dynamical systems.
650 0 _aMathematics.
650 0 _aDifferential Equations.
650 1 4 _aDynamical Systems and Ergodic Theory.
_0http://scigraph.springernature.com/things/product-market-codes/M1204X
650 2 4 _aApproximations and Expansions.
_0http://scigraph.springernature.com/things/product-market-codes/M12023
650 2 4 _aOrdinary Differential Equations.
_0http://scigraph.springernature.com/things/product-market-codes/M12147
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540835110
776 0 8 _iPrinted edition:
_z9783540699071
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1904
856 4 0 _uhttps://doi.org/10.1007/978-3-540-69909-5
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c10098
_d10098