Distributed Resilient Nash Equilibrium Seeking for Heterogeneous Linear Systems Under False Data Injection Attacks

This paper considers resilient Nash equilibrium seeking for linear dynamic players under false data injection (FDI) attacks. Different from most of existing works that consider secure networks, players' actuators and communication paths are both compromised by malicious attackers in this paper. A distributed algorithm is constructed for the players based on state regulators, consensus protocols, false data observers and gradient algorithms. The proposed algorithm guarantees that players' actions can asymptotically converge to the Nash equilibrium under both actuator and communication channel attacks. At last, numerical examples are provided to demonstrate the effectiveness of the proposed resilient seeking algorithm.