This paper discusses H-infinity state feedback control for a networked control system with time-varying delays.Based on the free-weighing matrix method,a delay-dependent stability criterion satisfying a prescribed H-infinity norm bound is presented for an NCS with unknown,time-varying and bounded delays.And then,the criterion is transformed into sufficient conditions based on linear matrix inequalities for H-infinity control.The conditions thus obtained are also used to design an H-infinity state feedback controller.This design method is further extended to solve the design problem of robust H-infinity state feedback control.A numerical example demonstrates the validity of the method.