Lyapunov Characterizations of Input to Output Stability

@article{Sontag2000LyapunovCO,
  title={Lyapunov Characterizations of Input to Output Stability},
  author={Eduardo Sontag and Yuan Wang},
  journal={SIAM J. Control. Optim.},
  year={2000},
  volume={39},
  pages={226-249}
}
This paper presents necessary and sufficient characterizations of several notions of input to output stability. Similar Lyapunov characterizations have been found to play a key role in the analysis of the input to state stability property, and the results given here extend their validity to the case when the output, but not necessarily the entire internal state, is being regulated. 

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