Robustness of nonlinear control systems with respect to unmodeled dynamics

@article{Zhang1996RobustnessON,
  title={Robustness of nonlinear control systems with respect to unmodeled dynamics},
  author={Youping Zhang and Petros A. Ioannou},
  journal={Proceedings of 35th IEEE Conference on Decision and Control},
  year={1996},
  volume={1},
  pages={315-320 vol.1}
}
We examine the global stability properties of nonlinear controllers in the presence of high frequency unmodeled dynamics. We develop necessary and sufficient conditions for a general class of nonlinear control laws, under which global signal boundedess or asymptotic stability is guaranteed. We show that a wide class of nonlinear control laws does not satisfy these conditions and therefore does not guarantee global stability in the presence of high frequency unmodeled dynamics. 

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