Abstract:In this paper, the robust control problem of singular Markovian jump system with parametric uncertainties and time-varying delays is studied. By constructing the delay-dependent Lyapunov-Krasovskii function and combining with the inequality scaling lemma, the LMI condition of the stochastic tolerance is given which meanwhile satisfies the performance index of the system, and the state feedback controller satisfying the condition is designed by using the variable substitution method.