Abstract: The problem of H-infinity robust stabilization for a class of uncertain time-delay nonlinear systems is investigated by using a hybrid state feedback method.First,when the gain matrices of controllers are all known,by using the single Lyapunov function method and convex combination technique,the sufficient conditions of closed-loop switched nonlinear systems with robust H-infinity performance are derived and the corresponding switching laws are designed.Then,when the gain matrices of controllers are unknown,by employing multi-Lyapunov function method,the controllers and the switching laws are designed,which guarantees that the closed-loop switched nonlinear system is robust H-infinity asymptotically stable.