Distributed Algorithm for Constrained Social Cost Minimization Problem of Heterogeneous Linear Multiagent Systems Against DoS Attacks

In this article, we study the constrained social cost minimization problem for heterogeneous linear multiagent systems with partial information under malicious denial-of-service (DoS) attacks for the first time. Therein, the local cost function of each agent may depend on the decision variables of all participants, and the local decision variables are constrained by the coupled constraints. Based on the output regulation technique, we design a novel distributed attack-resilient algorithm that requires only local decision and cost function information. The proposed algorithm consists of the distributed coordinators to generate the desired outputs and the reference-tracking controllers to follow the desired outputs. By means of the hybrid system method and Lyapunov stability theory, we demonstrate that with the algorithm, the outputs of agents can converge to the optimal solution when the DoS attack satisfies certain conditions. Finally, the validity of the proposed algorithm is verified by simulating a numerical example.