摘要

This paper is focused on the H (a) control problem for linear systems with interval time-varying delays. By employing a reciprocally convex combination approach and a delay decomposition approach, some new delay-dependent bounded real lemmas (BRLs) are derived such that the closed-loop system is asymptotically stable with a prescribed H (a) level. The BRLs are then used to solve the H (a) controller design by incorporating with the cone complementary approach. Three numerical examples are finally given to show the validity of the proposed method.