Delay-dependent control for singular Markovian jump systems with time delay

This paper deals with the problem of delay-dependent H ∞ control for singular Markovian jump systems with time delay. Based on the delay subinterval decomposition approach, a new Lyapunov–Krasovskii functional is proposed to develop the new delay-dependent bounded real lemma (BRL), which ensures the considered system to be regular, impulse-free and stochastically stable with given H ∞ performance index γ . Based on this new BRL, the explicit expression of the desired controller gains is also presented by solving a set of strict LMIs. Some numerical examples are given to show the effectiveness and less conservativeness of the proposed methods.