Delay-dependent robust H∞ stability analysis for uncertain singular system with Markovian jumping parameters

The problem of robust H_∞ stability analysis for a class of uncertain singular time-delay systems with Markovian jumping parameters is addressed in this paper. The considered Markovian jump singular systems involve constant time delay and norm-bounded uncertainties. Based on linear matrix inequality (LMI) approach, a delay dependent condition is proposed, which ensures the Markovian jump singular system to be regular, impulse-free, and stochastically stable. One numerical example is given to demonstrate the applicability of the proposed method.