Robust filtering for jumping systems with mode-dependent delays

In this paper, the filtering problem for a class of linear uncertain systems with Markovian jump parameters and functional time delay is examined. The uncertainties are time-varying and norm-bounded parametric uncertainties and the delay factor depends on the mode of operation. We provide complete results for robust weak-dependent stochastic stability and robust linear filter design. Then we extend the theoretical development to the case when a prescribed performance measure is desired. All the results are cast into convenient linear matrix inequality (LMI) forms.