The nonfragile Hinfinity control problem for a neutral system with time-varying delays is considered. Delay-dependent criteria are proposed to guarantee the stabilization and disturbance attenuation of systems. A linear matrix inequality optimization approach is used to solve the nonfragile Hinfinity control problem. Nonfragile Hinfinity control for an unperturbed neutral system is investigated first. Then, nonfragile Hinfinity control for an uncertain neutral system is derived directly from the unperturbed case. Finally, two examples are illustrated to show the improvement of this correspondence.