H∞ controller design for singular Markov jump systems with time-delays

In this article, the H-infinity control problem of a class of singular Markov jump systems with time-varying inputs and state delays is investigated. Based on the Lyapunov stability theory, by constructing a different Lyapunov-Krasovskii functional, the sufficient conditions of being stochastic stable and having H-infinity performance index are given. Then, the design method of state feedback controller is given to ensure the closed-loop system is stochastic stable and has H-infinity performance index. Finally, simulation examples are given to verify the effectiveness of the proposed methods.