Stabilization of hidden Markov jump singular systems with limit mode switching information

This paper studies the stability analysis and stabilization problems for a class of discrete-time hidden Markov jump singular systems with partly known transition probabilities and emission probabilities. The novel sufficient conditions with original coefficient matrices are proposed to guarantee the regularity, causality and stochastic stability of the considered systems. Based on such conditions, the linear matrix inequalities based asynchronous controller design method for the resulting control systems can be designed. An example is presented to show the effectiveness of our controller design method.