  This work deals with the stability analysis of nonlinear sampled-data systems
under nonuniform sampling. It establishes novel relationships between the
stability property of the exact discrete-time model for a given sequence of
(aperiodic) sampling instants and the stability property of the continuous-time
system when the maximum admissible sampling period converges to zero. These
results can be used to infer stability properties for the sampled-data system
by direct inspection of the stability of the mentioned continuous-time system,
a task which is typically easier than the analysis of the closed-loop
sampled-data system. Compared to the literature, our results allow to prove
stronger (asymptotic) sampled-data stability properties for nonlinear systems
in cases for which existing results only guarantee practical stability.
