Stability and stabilization of Markovian jump singular systems with partly known transition probabilities

This paper investigates the stability and stabilization problem for a class of Markovian jump singular systems with partial information on the transition probabilities. For detail, a new necessary and sufficient stability criterion is successfully obtained for such systems. Moreover, in terms of linear matrix inequalities, the sufficient conditions on the stabilization controller design are derived for the cases of state feedback and static output feedback, respectively. Finally, some numerical examples are given to illustrate the effectiveness of the proposed method.