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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...

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Detalles Bibliográficos
Autor principal: Giesl, Peter
Lenguaje:eng
Publicado: Springer 2007
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-540-69909-5
http://cds.cern.ch/record/1691685
Descripción
Sumario: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.