  This paper considers the stability analysis for nonlinear sampled-data
systems with failures in the feedback loop. The failures are caused by shared
resources, and modeled by a weakly hard real-time (WHRT) dropout description.
The WHRT dropout description restricts the considered dropout sequences with a
non-probabilistic, window based constraint, that originates from schedulability
analysis. The proposed approach is based on the emulation of a controller for
the nonlinear sampled-data system from a continuous-time feedback. The
emulation technique is extended and combined with non-monotonic Lyapunov
functions and a graph description for the WHRT constraints to guarantee
asymptotic stability. The effectiveness of the proposed approach is illustrated
with a numerical example from literature. This paper is the accepted version of
Hertneck et al. (2020), containing also proofs of the main results.

Systems and Control;Networking and Internet Architecture;Systems and Control