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This paper considers the problem of delay-dependent exponential stability in mean square for stochastic systems with polytopic-type uncertainties and time-varying delay.Applying the descriptor model transformation and introducing free weighting matrices,a new type of Lyapunov-Krasovskii functional is constructed based on linear matrix inequalities (LMIs),and some new delay-dependent criteria are obtained.These criteria include the delay-independent/ratedependent and delay-dependent/rate-independent exponential stability criteria.These new criteria are less conservative than existing ones.Numerical examples demonstrate that these new criteria are effective and are an improvement over existing ones.