A Stackelberg Game Approach to the Stability of Networked Switched Systems Under DoS Attacks

Abstract

This paper investigates the stability of networked switched systems under DoS attacks by a Stackelberg game approach. Firstly, the non-cooperative competition between the attacker and the controller is characterized as a switched Stackelberg game. The delivery rate of data packets and controller gains compose the strategy sets of the attacker and the controller, respectively. Then, the switched optimal Stackelberg strategy is obtained from the corresponding Stackelberg equilibrium. Considering the open-loop and asynchronous switching cases caused by DoS attacks, sufficient conditions for the exponential mean-square stability of the system are obtained. Finally, switched RLC circuit systems are provided to verify the effectiveness of the proposed methods.