Switching-Like Event-Triggered H ∞ Control for Dual Hidden Markov Jump Systems Under DoS Attacks

This paper addresses the asynchronous eventtriggeredH∞control problem for Markov jump systems under multiple constraints. The transition probabilities are assumed to be time-varying and nonhomogeneous. These dynamically varying transition probabilities, governed by a higher-level set of homogeneous Markov transition probabilities. To capture the mismatch phenomenon arising between the system mode and the transition probability mode, a dual hidden Markov model is introduced. By employing the acknowledgment character technique and a denial-of-Service (DoS) interval partitioning method, this paper establishes a mode-dependent switching-like event-triggered scheme to conserve communication resources, while mitigating the adverse effects induced by DoS attacks on the system. Sufficient conditions are derived to guarantee the stochastic stability andH∞performance of the system under DoS attacks. Finally, an economic model is provided to demonstrate the effectiveness of the proposed approach.