Remarks on input to output stability

@article{Ingalls1999RemarksOI,
  title={Remarks on input to output stability},
  author={Brian Ingalls and Eduardo D. Sontag and Yuan Wang},
  journal={Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)},
  year={1999},
  volume={2},
  pages={1226-1231 vol.2}
}
The property of input to output stability (IOS) was introduced about 10 years ago (E.D. Sontag, 1989), but most theoretical developments have until now dealt mainly with the special case of input to state stability. The article presents a small-gain theorem for IOS operators, as well as alternative properties and Lyapunov characterizations dealing with the IOS property for state-space systems. 

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