Secure Consensus Control for PDE-Based Multiagent Systems Resist Hybrid Attacks

This article investigates the secure consensus control for a class of multiagent systems (MASs). Considering the spatial dynamic behaviors of each agent, the model based on parabolic partial differential equations (PDE) is developed, which means the evolution of MASs' state with space and time is taken into account. In contrast to traditional consensus studies, this article considers the leader-following consensus control for MASs with Markovian switching topology and spatial distribution characteristic under replay and denial-of-service (DoS) attacks. The system is guaranteed to achieve asymptotical stability by the method of segmented Lyapunov functions with the requirement that all topologies have a directed spanning tree with the leader as the root. Additionally, to save communication resources in PDE-based MASs, an improved dynamic event-triggered mechanism is employed, and it can improve the dynamic performance of the system compared to the traditional ones. Finally, a numerical example and comparative analysis are provided to verify the work in this article.