On improved delay-dependent robust ∞ control for systems with interval time-varying delay

This paper considers the design problem of delay-dependent robust H ∞ control for interval time-delay systems (ITDS). Based on the Lyapunov–Krasovskii functional approach and the convexity of the matrix equations, a delay-dependent bounded real lemma (BRL) is firstly proposed, which is shown in terms of linear matrix inequalities. Then by applying the BRL, sufficient conditions can be obtained for the asymptotic stabilizability of the uncertain ITDS with a prescribed H ∞ performance index. Finally, numerical examples are provided to illustrate the less conservativeness of the proposed methods than some existing results.