A free-weighting matrices technique for stochastic stability analysis of uncertain singular system with Markovian jumping parameters

The problem of robust stochastic stability analysis of uncertain singular time-varying delay systems with Markovian jumping parameters is investigated in this paper. Free-weighting matrices are employed to express the relationship between the terms in the Leibniz-Newton formula, and based on that relationship, a new delay-dependent stochastic admissible criterion is derived for singular system with Markovian jumping parameters and time-varying delay. Finally, a numerical example is provided to demonstrate the efficiency of the proposed methods in this paper.