An interval arithmetic approach for the estimation of the domain of attraction

@article{Warthenpfuhl2010AnIA,
  title={An interval arithmetic approach for the estimation of the domain of attraction},
  author={Sascha Warthenpfuhl and Bernd Tibken and Sascha Mayer},
  journal={2010 IEEE International Symposium on Computer-Aided Control System Design},
  year={2010},
  pages={1999-2004}
}
Since the analysis of asymptotic stability is not sufficient for safety-critical nonlinear systems, the analysis of the domain of attraction is the focus of current research. While several approaches for polynomial systems were presented in the last years, based on sums of squares/linear matrix inequalities (SOS/LMIs) techniques or using a sampling method, only a few approaches are available for non-polynomial systems. In this paper we present a new branch-and-bound-method using the Lyapunov… CONTINUE READING