All multipliers for repeated monotone nonlinearities

@article{Kulkarni2002AllMF,
  title={All multipliers for repeated monotone nonlinearities},
  author={Vishwesh V. Kulkarni and Michael G. Safonov},
  journal={IEEE Trans. Automat. Contr.},
  year={2002},
  volume={47},
  pages={1209-1212}
}
We have derived the largest class of bounded linear time-invariant operators that preserve positivity of repeated monotone nonlinearities. It reduces conservativeness of IQC stability analysis of systems having repeated monotone nonlinearities to the minimum possible. Utility of this characterization stems from the fact that such nonlinearities are typically encountered in stability of anti-reset windup schemes among other applications. We have also derived the time varying counterpart of this… CONTINUE READING
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