This paper focuses on the stability issue of discrete-time networked control systems with random Markovian delays and uncertain transition probabilities, wherein the random time delays exist in the sensor-to-controller and controller-to-actuator. The resulting closed-loop system is modeled as a discrete-time Markovian delays system governed by two Markov chains. Using Lyapunov stability theory, a result is established on the Markovian structure and ensured that the closed-loop system is stochastically stable. A simulation example illustrates the validity and feasibility of the results.
Li Qiu. Chengxiang Liu. Fengqi Yao. Gang Xu. "Analysis and Design of Networked Control Systems with Random Markovian Delays and Uncertain Transition Probabilities." Abstr. Appl. Anal. 2014 (SI63) 1 - 8, 2014. https://doi.org/10.1155/2014/486978