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The robust output feedback control problem is studied for a class of Markovian jump time-delay systems with uncertain switching probabilities. Sufficent conditions on the stochastic stability with prescribed Hinfin tracking performance are proposed using a slack weighting matrix method. The conditions and the optimal design of the controller are formulated as a set of direct linear matrix inequalities(LMIs). Further more, the tolerable bound of the perturbation of the mode transition rates is also presented.