In this paper, we study networked control systems in the presence of Denial-of-Service (DoS) attacks, namely attacks that prevent transmissions over the communication network. The control objective is to maximize frequency and duration of the DoS attacks under which closed-loop stability is not destroyed. A family of impulsive controllers is proposed, which achieve the considered control objective for a general class of DoS signals. An example is given to illustrate the proposed solution approach. (C) 2017 Elsevier Ltd. All rights reserved.