Finite-time consensus of nonlinear multi-agent systems with intermittent DoS attacks

This paper focuses on the finite-time consensus problem of nonlinear multi-agent systems (MASs) with intermittent denial-of-service (DoS) attacks. Such intermittent DoS attacks disrupt communication channels, which are launched by the attackers and repaired by sapiential defenders. Three types of topological structures induced by DoS attacks are considered: partially broken links with preserved connectivity, partially broken links, and completely broken links. To address the finite-time consensus issue in nonlinear MASs with intermittent DoS attacks, a novel finite-time stability standard for intermittent control systems is presented. By utilizing the piecewise Lyapunov function approach, sufficient criteria are derived to guarantee the finite-time consensus of the nonlinear MASs. The estimation approaches of the settling time are provided. It is demonstrated that the more valuable information is available, the smaller settling times can be achieved by using the proposed methods.