Distributed impulsive control for secure consensus of nonlinear dynamical networks with node delay under denial‐of‐service attacks

Abstract This paper investigates secure consensus problems of nonlinear dynamical networks (NDNs) with node delay under denial‐of‐service (DoS) attacks, which can cause a break in communication links. It will lead to packet loss. To ensure the secure consensus in this scenario, we propose an effective impulsive control which only based on sampled information from neighbor nodes. Based on the Lyapunov stability theory and the impulsive comparison principle, an upper bound of the average impulse interval is derived to ensure the exponential consensus of NDNs under DoS attacks, and the convergence rate can be estimated. Finally, a numerical example is provided to check the theory results.