Stabilisation of singular markovian jump systems with discontinuities and saturating inputs

In this study, the problems of stability and stabilisation of singular Markovian jump systems with external discontinuities and saturating inputs are addressed. A design procedure is proposed to determine simultaneously a state feedback controller and an associated domain of safe admissible states for which the regularity, the absence of impulsive behaviour and the stochastic stability in mean square sense of the closed-loop systems are guaranteed. This design procedure is based on linear matrix inequality technique (LMI) and the sequential linear programming matrix method (SLPMM). A numerical example is provided to demonstrate the effectiveness of the proposed methods.