When is the stability of a nonlinear input-output system robust?

@article{Doleal1997WhenIT,
  title={When is the stability of a nonlinear input-output system robust?},
  author={V{\'a}clav Dole{\vz}al},
  journal={Circuits, Systems and Signal Processing},
  year={1997},
  volume={16},
  pages={487-505}
}
We consider a general nonlinear input-output system governed by operator equations that relate the system's input, state, and output, all of which are in extended spaces. It is assumed that the system variables are separated. Our results give conditions under which the stability of the nominal system is robust; i.e., it is not destroyed by any sufficiently small admissible perturbation of the system. Theorem 1 deals with the case when by stability we mean theincremental stability. Theorem 3… CONTINUE READING
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