Construction Of Global Lyapunov Functions Using Radial Basis Functions (lecture Notes In Mathematics, No. 1904)
by Peter Giesl /
2007 / English / PDF
4.3 MB Download
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.
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.
