This　paper　focuses　on　the　guaranteed　cost　control　issue　of　quadratic　stabilization　for　a　class　of　time-delayed　descriptor　systems　with　norm-bounded　uncertainties.　By　applying　the　Lyapunov　stability　theorem,　a　feedback　controller　with　multiple-loops　is　developed　to　ensure　quadratic　stability　of　the　system　and　restrict　the　cost　performance　within　a　predefined　upper　bound.　Then,　the　equivalent　conditions　of　the　system　stability　and　the　cost　function　satisfying　the　requirements　are　given　in　terms　of　linear　matrix　in-　equality　(LMI)　method.　Based　on　the　convex　optimization　techniques,　the　upper　bound　of　the　minimum　performance　index　and　the　optimal　guaranteed　cost　controller　can　be　determined.　Finally,　two　examples　are　presented　to　demonstrate　the　reasonableness　and　validness　of　the　proposed　scheme.　©　2024,　Symmetry　Integr.Geom.　Methods　Appl.　All　rights　reserved.