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This paper addresses H ∞ control strategies for time-delay systems with input delay and its derivative varying within intervals. With the development of a new LyapunovKrasovskii functional, we propose a new performance criterion which combines state-of-the-art stability techniques with an improved piecewise analysis method. For the H ∞ control design, we state a new stabilization technique based on the use of the Simulated Annealing (SA) algorithm. We also derive traditional stabilization methods: the use of predefined scalars and a modified cone complementarity linearization algorithm, in order to compare their efficiency with the proposed control design technique. The advantages of our H ∞ performance and control criteria are also highlighted with numerical examples, and an illustrative example shows the effectiveness of the new control design technique using SA algorithm.