Fundamental limitations of discrete-time adaptive nonlinear control

@article{Xie1999FundamentalLO,
  title={Fundamental limitations of discrete-time adaptive nonlinear control},
  author={Liang-Liang Xie and Lei Guo},
  journal={IEEE Trans. Automat. Contr.},
  year={1999},
  volume={44},
  pages={1777-1782}
}
A particular polynomial is introduced in this paper which can be used to determine under what conditions a typical class of discretetime nonlinear systems with uncertainties in both parameters and noises is not stabilizable by feedback, thus demonstrating the fundamental limitations of discrete-time adaptive nonlinear control. As a consequence, it is shown that for nonlinear systems with unknown parameters and noises, the systems may indeed be nonstabilizable, in general, whenever the usual… CONTINUE READING
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