H∞ filtering for stochastic time- delay systems

This paper presents the robust H∞ filter design for stochastic systems with time-varying delay. The aim is to design a stable linear filter assuring exponential stability in mean-square and a prescribed H∞ performance level for the filtering error system. Based on the application of the descriptor model transformation and free weighting matrices, delaydependent sufficient conditions are respectively proposed in terms of linear matrix inequalities(LMIs). Numerical example demonstrates the proposed approaches are effective and are an improvement over existing ones.