Less conservative results on H∞ control for linear systems with interval time-varying delay

This paper is focused on the problem of H_∞ control for linear systems with interval time-varying delay. A delay decomposition approach is employed to establish a new delay-dependent bounded real lemma (BRL) such that the system under study is asymptotically stable with a prescribed H_∞ disturbance attenuation level. This BRL is then used to solve the desired H_∞ controller by incorporating with the cone complementary minimization subject to a set of linear matrix inequalities (LMIs). Some numerical examples are finally given to show the effectiveness of the proposed method in this paper.