This paper is concerned with stability analysis for continuous-time systems with additive time-varying delays in the Lyapunov-Krasovskii(L-K) framework. Firstly, in view of the relationships between the upper bounds of the two time-varying delays, a new augmented L-K functional is constructed by using the information of the two upper bounds. Secondly, the free-matrix-based integral inequality is used to estimate the derivative of the constructed L-K functional. Thirdly, a less conservative criterion is derived to assess stability. Finally, a numerical example is presented to demonstrate the effectiveness of the criterion.

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