Nonlinear versus linear control in the absolute stabilizability of uncertain systems with structured uncertainty

@article{Savkin1993NonlinearVL,
  title={Nonlinear versus linear control in the absolute stabilizability of uncertain systems with structured uncertainty},
  author={Andrey V. Savkin and Ian R. Petersen},
  journal={Proceedings of 32nd IEEE Conference on Decision and Control},
  year={1993},
  pages={172-177 vol.1}
}
This paper considers a stabilization problem for a class of uncertain linear systems containing structured uncertainty. The uncertainties in the system are described by a certain integral quadratic constraint which allows for a rich class of uncertainties including nonlinear dynamic time-varying uncertainty. The notion of stabilizability considered is that of absolute stabilizability. The main results show that the question of absolute stabilizability for the class of uncertain linear systems… CONTINUE READING

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