Prescribed-time consensus control of nonlinear time-delayed multi-agent systems under DoS attacks

This paper examines the prescribed-time consensus of multi-agent systems under time-varying communication delays and Denial-of-Service (DoS) attacks. Considering a general class of DoS attacks with limited duration, a novel control protocol accompanied by time-varying node delays communication delays and integral action is proposed to guarantee the secure prescribed-time consensus. Moreover, we propose a controller to achieve prescribed-time consensus by utilizing the Artstein’s reducing transformation, effectively addressing the challenges posed by time-varying delays. By using the comparison principle and Lyapunov stability theory, consensus convergence properties are analyzed, and sufficient criteria are obtained. Furthermore, a distributed prescribed-time observer is introduced to guarantee that all follower agents obtain the leader’s state information within the prescribed time, even if only a subset initially has access. To conclude, a numerical simulation is offered to substantiate the robustness and implementation of our theoretical insights.