Robust H∞ filtering for a class of linear systems with uncertainties and time-varying distributed delays

In this paper, the problem of delay-dependent robust H_infin filtering for uncertain linear systems with time-varying distributed delays is considered. Based on the Lyapunov stability theory, a stable linear filter is designed to ensure that the filtering error system is asymptotically stable with a prescribed level of noise attenuation and established in term of linear matrix inequalities(LMIs). Finally, a numerical example is given to demonstrate the availability of the proposed method.