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Stabilization of well-posed infinite-dimensional systems by dynamic sampled-data feedback

OAI: oai:purehost.bath.ac.uk:publications/0aa8ce57-a2df-4f13-b4c2-963b4d477356 DOI: https://doi.org/10.1137/110850396
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Abstract

It is shown that a set of six natural conditions is necessary and sufficient for the existence
of a finite-dimensional stabilizing sampled-data controller for a well-posed infinite-dimensional
system. The underlying stability concept for the sampled-data system is reminiscent of the notion
of input-to-state stability from nonlinear control theory.