Estimating the domain of attraction for uncertain polynomial systems

@article{Chesi2004EstimatingTD,
  title={Estimating the domain of attraction for uncertain polynomial systems},
  author={Graziano Chesi},
  journal={Automatica},
  year={2004},
  volume={40},
  pages={1981-1986}
}
Estimating the Domain of Attraction (DA) of equilibrium points is a problem of fundamental importance in systems engineering. Several approaches have been proposed for the case of known polynomial systems allowing one to find the Largest Estimate of the DA (LEDA) for a given Lyapunov Function (LF). However, the problem of estimating the Robust DA (RDA), that is the DA guaranteed for all possible uncertainties in an uncertain system, it is still an unsolved problem. In this paper, LMI methods… CONTINUE READING
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