Stabilization of Discontinuous Singular Systems with Markovian Switching and saturating inputs

In this paper, the problem of stochastic stability and stochastic stabilization of Markov jumping singular systems with discontinuities and saturating inputs is addressed. The design procedure via linear matrix inequality technique (LMI), the complementarity cone approach and the sequential linear programming matrix method (SLPMM), are used to determine simultaneously a state feedback control and an associated domain of safe admissible states for which the regularity, the absence of impulsive behavior and the stochastic stability of the closed-loop systems are guaranteed. A numerical example is provided to demonstrate the effectiveness of the proposed methods.