Robust H∞ control for uncertain nonlinear stochastic neutral systems with state delays

This paper deals with the problem of robust stability and robust H_∞ control for a class of uncertain neutral systems. The nonlinearities are assumed to satisfy the global Lipschitz conditions and appear in the term of perturbation. Attention first is focused on investigating a sufficient condition for designing a state feedback controller which stabilizes the uncertain neutral system under consideration of robust stabilization dependent of delay. Then, we show that it guarantees an H_∞-norm bound constraint on the disturbance attenuation. The proposed results are given in terms of linear matrix inequalities. An example is worked out to illustrate the validness of the theoretical results.