The problem of delay-dependent H∞ control for Lurie singular systems with state-delay is investigated. Delay-
dependent sufficient condition is obtained in terms of matrix inequalities for ensuring the resultant closed-loop systems of
regularity, absence of impulses, global uniform asymptotical stability and a prescribed H∞ performance level. Further more,
the state feedback H∞ control law is given in terms of the feasible solutions of linear matrix inequalities(LMIs) under the
non-convex constraints. A numerical example shows the effectiveness of the proposed method.