This paper considers the problem of state feedback sliding mode control for a class of discrete-time Markov jump
systems. The uncertainty of the system is considered as a function of the system inputs, states and time, which satisfies the
matched condition. A sufficient condition is provided to guarantee the existence of the discrete-time sliding modes in times
of LMI. A sliding mode control law is designed to make the system states reach to the designed sliding mode and keep on
stochastically stable. A simulation example shows the effectiveness of the state-feedback controller.