  For a broad class of infinite-dimensional systems, we characterize
input-to-state practical stability (ISpS) using the uniform limit property and
in terms of input-to-state stability. We specialize our results to the systems
with Lipschitz continuous flows and evolution equations in Banach spaces. Even
for the special case of ordinary differential equations our results are novel
and improve existing criteria for ISpS.

Optimization and Control;Dynamical Systems