Robustness of discrete periodically time-varying control under LTI unstructured perturbations

@article{Zhang2000RobustnessOD,
  title={Robustness of discrete periodically time-varying control under LTI unstructured perturbations},
  author={Jingxin Zhang and Cisheng Zhang},
  journal={IEEE Trans. Autom. Control.},
  year={2000},
  volume={45},
  pages={1370-1374}
}
Investigates robustness of linear periodically time varying (LPTV) control of discrete linear time invariant (LTI) plants subject to LTI unstructured perturbations. The note first derives a necessary and sufficient condition for robust stability of an LPTV system subject to LTI perturbations, which is less conservative than the well known small gain condition. It then presents a quantitative analysis on the robustness of LPTV control under LTI unstructured perturbations in comparison with that… 
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