Input-to-State Stability of Infinite-Dimensional Systems: Recent Results and Open Questions

@article{Mironchenko2020InputtoStateSO,
  title={Input-to-State Stability of Infinite-Dimensional Systems: Recent Results and Open Questions},
  author={Andrii Mironchenko and Christophe Prieur},
  journal={SIAM Rev.},
  year={2020},
  volume={62},
  pages={529-614}
}
In a pedagogical but exhaustive manner, this survey reviews the main results on input-to-state stability (ISS) for infinite-dimensional systems. This property allows estimating the impact of inputs and initial conditions on both the intermediate values and the asymptotic bound on the solutions. ISS has unified the input-output and Lyapunov stability theories and is a crucial property in the stability theory of control systems as well as for many applications whose dynamics depend on parameters… 

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