Robustness under bounded uncertainty with phase information

@article{Tits1999RobustnessUB,
  title={Robustness under bounded uncertainty with phase information},
  author={Andr{\'e} L. Tits and V. Balakrishnan and Li Lee},
  journal={IEEE Trans. Automat. Contr.},
  year={1999},
  volume={44},
  pages={50-65}
}
Abst ract We consider uncertain linear systems where the uncertainties, in addition to being bounded, also satisfy constraints on their phase. In this context, we deene the \phase-sensitive structured singular value" (PS-SSV) of a matrix, and show that suucient (and sometimes necessary) conditions for stability of such uncertain linear systems can be rewritten as conditions involving PS-SSV. We then derive upper bounds for PS-SSV, computable via convex optimization. We extend these results to… CONTINUE READING
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