Optimal ℌ2 mode-independent filter for generalized Bernoulli jump systems?

In this paper we work with the filtering problem for a special class of discrete-time Markov Jump Linear Systems (MJLS) whose transition probability matrix has identical rows. For that class of systems we design, with the help of new necessary and sufficient LMI conditions, ℌ
2
optimal mode-independent filters with the same order of the plant. For cluster availability of the mode, we also show it is possible to design optimal filters. We complete the results with a numerical example.