Asynchronous Control of Markovian Jump Cyber-Physical Systems Under Hidden Markov Deception Attacks Based on a Hybrid-Triggered Mechanism

This article delves into the problem of secure asynchronous control of Markovian jump cyber-physical systems (MJCPS) in the presence of Hidden Markov deception attacks. Firstly, Markovian random variables are introduced to characterize deception attacks, and an asynchronous controller model is subsequently designed. Secondly, a hybrid-triggered mechanism is used to reduce the frequency of controller updates to save limited network bandwidth. Thirdly, we prove the stochastic stability of the system by constructing Lyapunov functions tailored to the system's modes, which establishes a sufficient condition for the system to meet the ${\mathscr{H}}_{\infty }$ performance metric. The design of the controller is based on the obtained linear matrix inequalities. Finally, we simulate an example to illustrate the effectiveness of the proposed method.