Leader-follower consistency in parabolic MASs with distributed observers under DoS attacks

This study investigates the coordinated agreement issue in parabolic-type multi-agent systems (MASs) subjected to denial-of-service (DoS) intrusions. An event-triggered output feedback control strategy is developed to mitigate the impact of malicious DoS disruptions, enabling the establishment of leader-follower synchronization across an undirected network topology. The temporal patterns of these cyber-attacks, including their recurrence rate and dwell time, are systematically examined. To ensure system stability, Lyapunov stability theory is combined with Young's inequality analysis for the parabolic partial differential dynamics. A critical theoretical contribution is the proof that the inter-event time intervals remain strictly positive, effectively ruling out Zeno behavior phenomena. Numerical simulations are conducted to confirm the practical applicability and correctness of the proposed framework.