Sliding mode control for neutral stochastic systems with time-delay

This paper investigates the stabilization problem for neutral time-delay stochastic systems based on sliding mode control. A delay-dependent sufficient condition for the existence of a sliding surface, which guarantees the global mean-square stability of the sliding mode dynamics, is developed in terms of linear matrix inequalities. A sliding mode controller for the reaching motion is then designed. Finally, a numerical example is presented to illustrate the proposed method.