Delay-dependent H∞ control for singular Markovian jump time-delay systems

This note is concerned with the delay-dependent H_∞ control problem for singular Markovian jump time-delay systems. First, in terms of the Lyapunov technique and linear matrix inequalities, a delay-dependent bounded real lemma (BRL) is established. Then, based on this condition, a delay-dependent design algorithm for the desired state feedback controller is proposed in terms of a set of strict linear matrix inequalities (LMIs) to guarantee that the closed-loop system is not only regular, impulse free and stochastically stable, but also satisfies a prescribed H_∞ performance level. Finally, numerical examples illustrate that the results proposed in this paper are less conservative.