α-Dissipativity filtering for singular Markovian jump systems with distributed delays

This paper deals with the problem of α-dissipativity filtering for singular Markovian jump systems (SMJSs) with distributed delays. Sufficient delay-dependent conditions are developed for the stochastic admissibility and the dissipativity analysis of SMJSs with distributed delays by using an integral partitioning technique. Then, based on these conditions, both mode-dependent and mode-independent filters are designed such that the filtering error SMJSs with distributed delays are stochastically stable and strictly (Q,S,R)-α-dissipative. The criteria are established in terms of linear matrix inequalities. Finally, numerical examples are given to illustrate the effectiveness of the proposed methods.