Stochastic Admissibility for a Class of Nonlinear Singular Markovian Jump Systems with Time-Delay

This paper is concerned with the problem of the stochastic admissibility for a class of nonlinear singular Markovian jump systems with time-delay by employing the free-weighting matrix method and the Lyapunov functional method. The singular matrices Er(t) in the discussed system are mode-dependent. A sufficient condition is presented to guarantee the considered system to be stochastically admissible. The proposed result is formulated in terms of linear matrix inequalities(LMIs). A numerical example is provided to verify the effectiveness of the obtained method.