  Motivated by recent security issues in cyber-physical systems, this technical
note studies the stabilization problem of networked control systems under
Denial-of-Service (DoS) attacks. In particular, we consider to stabilize a
nonlinear system with limited data rate via linearization. We employ a
deterministic DoS attack model constrained in terms of attacks' frequency and
duration, allowing us to cover a large class of potential attacks. To achieve
asymptotic stabilization, we propose a resilient dynamic quantizer in the sense
that it does not saturate in the presence of packet losses caused by DoS
attacks. A sufficient condition for stability is derived by restricting the
average DoS frequency and duration. In addition, because of the locality of
linearization, we explicitly investigate an estimate of the region of
attraction, which can be expected to be reduced depending on the strength of
DoS attacks. A simulation example is presented for demonstration of our
results.
