Delay-dependent H_∞ performance analysis and filtering for Markovian jump systems with interval time-varying delays

This paper investigates the problems of H_∞ disturbance attenuation and H_∞ filtering for Markovian jump systems with interval time-varying delays. In terms of linear matrix inequalities, a less conservative delay-range-dependent H_∞ performance condition for Markovian jump systems is proposed by constructing a different Lyapunov-Krasovskii functional. The resulting criterion has advantages over some previous ones in that they involve fewer matrix variables, but has less conservatism. Based on this new condition, an improved H_∞ filtering algorithm is developed. Numerical examples are provided to demonstrate the efficiency and reduced conservatism of the results in this paper.