Stochastic admissibility for a class of singular Markovian jump systems with mode-dependent time delays

This paper deals with the problem of the stochastic admissibility for a class of singular Markovian jump systems with mode-dependent time delays. The singular matrices Er(t)Er(t) in the considered systems are mode-dependent. Based on the Lyapunov functional method and the free-weighting matrix method, sufficient conditions are derived in terms of strict linear matrix inequalities (LMIs) to guarantee the considered systems to be stochastically admissible. Numerical examples are provided to show the effectiveness of the proposed approaches.