Asynchronous H∞ control for nonhomogeneous higher-level Markov jump systems

Abstract This paper investigates about asynchronous H∞ control for nonhomogeneous higher-level Markov jump systems, where a higher-level transition probability matrix is considered. The asynchronous H∞ controller designed is subject to an independent Markov chain. Using a linear matrix inequality approach, sufficient conditions are established such that system with controller is stochastically stable. A numerical example is presented to demonstrate the effectiveness of our method developed.