Ha filtering for a class of singular Markovian jump systems with time-varying delay

This paper deals with the H a filtering problem for a class of singular Markovian jump systems with time-varying delay. The singular matrices E r ( t ) in the considered system are mode-dependent. We aim to design a filter ensuring that the filtering error system is mean-square exponentially admissible and satisfies a prescribed H a performance level. Using the Lyapunov functional method and the free-weighting matrix method, a delay-dependent sufficient condition for the existence of a desired filter is presented in the form of linear matrix inequalities (LMIs). Finally, some numerical examples are provided to show the effectiveness of the proposed approach.