Input-to-state stability of infinite-dimensional control systems

@article{Dashkovskiy2013InputtostateSO,
  title={Input-to-state stability of infinite-dimensional control systems},
  author={Sergey Dashkovskiy and Andrii Mironchenko},
  journal={Mathematics of Control, Signals, and Systems},
  year={2013},
  volume={25},
  pages={1-35}
}
We develop tools for investigation of input-to-state stability (ISS) of infinite-dimensional control systems. We show that for certain classes of admissible inputs, the existence of an ISS-Lyapunov function implies the ISS of a system. Then for the case of systems described by abstract equations in Banach spaces, we develop two methods of construction of local and global ISS-Lyapunov functions. We prove a linearization principle that allows a construction of a local ISS-Lyapunov function for a… 
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TLDR
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