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Stability and stabilization of discrete-time Markov jump singular systems with general uncertain transition rates

This paper aims to study the stability and stabilization of a class of discrete-time Markov jump singular systems with general uncertain transition rates. Sufficient conditions are proposed for the stochastic admissibility by using linear matrix inequalities (LMIs), a sufficient condition is given to ensure the existence of a state feedback controller and an output feedback controller under the condition of general uncertain transition rates.