New Stability Criteria for Markov Jump Systems Under DoS Attacks and Packet Loss via Dynamic Event-Triggered Control

In this paper, the exponential mean square stability of Markov jump systems under packet loss and denial-of-service (DoS) attacks is studied by the dynamic event-triggered mechanism(DETM). Different from the existing results, this paper not only considers the impacts of periodic DoS attacks on the system, but also considers random packet loss during the sleeping-period of DoS attacks. Firstly, the Bernoulli distribution is used to model the phenomenon of random packet loss, and the zero-input strategy is used to combat the impacts of DoS attacks and random packet loss on the system. Then, based on the DETM, different controllers are designed during two stages of DoS attacks, and a new switched Markov jump system model is obtained. Different from the previous piecewise Lyapunov-Krasovskii functional approach, this paper obtains the less conservative stability criteria by constructing a common Lyapunov-Krasovskii functional. Finally, the authenticity of the proposed method is illustrated through a simulation experiment.