Robust H∞ control for polytopic uncertain Markovian jump systems with distributed delays

This paper investigates the problem of robust H_infin control for Markovian jump systems with polytopic uncertain parameters and mode-dependent distributed delays. In terms of linear matrix inequalities, a sufficient condition for robust stochastic stability is proposed. A state feedback controller is designed such that the closed-loop system is stochastically stable and a prescribed H_infin performance level is satisfied. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed approach.