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

This paper deals with the problem of -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)--dissipative. The criteria are established in terms of linear matrix inequalities. Finally, numerical examples are given to illustrate the effectiveness of the proposed methods. HighlightsThe integral partitioning technique is used for singular Markovian jump systems (SMJSs) with distributed delays.-Dissipativity filters are designed, which cover H filters and passive filters in a unified framework.Not only mode-dependent filtering but also mode-independent filtering is considered.

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