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The problem of delay-dependent stability analysis for uncertain stochastic Hopfield neural networks with time delays is investigated. The parametric uncertainties are norm-bounded and the delays are time-varying. On the basis of Lyapunov-Krasovskii approach, new stochastic stability conditions with delay dependence are formulated in terms of linear matrix inequalities. In the derivations, some cross terms, which are ignored in the existing methods, are considered by introducing some free-weighting matrices. Two illustrative examples are proposed to demonstrate the improvement of our results over the previous ones.