Adaptive Event-Triggered Tracking Control for Discrete-Time Markov Jump Systems with Time-Varying Delay

This study explores the strategy of adaptive event-triggered tracking control in the discrete-time linear Markov jump systems time-varying delay parameter. Firstly, this study proposed an adaptive event-triggered strategy to improve the effectiveness of communication. Secondly, by applying the Lya-punov stability theorem and the matrix inequality approach, relevant conditions are derived to ensure the system is satis-fying stochastic stability and extended dissipativity. Thirdly, to accomplish the intended tracking performance, the controller gains are determined by the linear matrix inequality techniques. Ultimately, the proposed controller design method is validated through a numerical example, which effectively demonstrates its performance.