Asynchronous Control of Networked Markov Jump Linear Systems Under DoS Attacks

This article intends to study the asynchronous H_∞ control problem for discrete-time networked Markov jump linear systems (MJLSs) subject to aperiodic denial-of-service (DoS) attacks. A more practical scenario of the simultaneous presence of imperfect mode detection and imperfectly known probability information is considered. More specifically, we usea hidden Markov model (HMM) to characterize the mismatched detected/system modes, and a general description of imperfectly known probabilities to characterize both the transition and observation probabilities (T/OPs). Then, we propose an HMM-based asynchronous control law for the concerned networked MJLS, and several sufficient conditions are established to ensure its stochastic stability and H_∞ performance, by means of an iterative method of piecewise Lyapunov functional and a nonconservative probability decoupling principle. We also show that the asynchronous control law can be designed via an LMI-based convex optimization algorithm. In the end, we use an example of a single-link robotic arm to demonstrate the effectiveness of the obtained results. © 2026 IEEE.