  The issue of security has become ever more prevalent in the analysis and
design of cyber-physical systems. In this paper, we analyze a consensus network
in the presence of Denial-of-Service (DoS) attacks, namely attacks that prevent
communication among the network agents. By introducing a notion of
Persistency-of-Communication (PoC), we provide a characterization of DoS
frequency and duration such that consensus is not destroyed. An example is
given to substantiate the analysis.
