Non-fragile H∞ state feedback control for singular Markovian jump fuzzy systems with interval time-delay

In this paper, the problem of non-fragile H∞ state feedback control for singular Markovian jump fuzzy systems with time-varying delays is investigated. Based on the mode-dependent Lyapunov–Krasovskii function and a new difference inequality, sufficient conditions are obtained which guarantee that the resulted closed-loop system is stochastically admissible with H∞ performance index γ. Then a state feedback controller under controller gain perturbations is designed by solving the linear matrix inequalities. Finally, some numerical examples are provided to show the effectiveness of the proposed approaches.