This　paper　concerns　the　problem　of　robust　H∞　filtering　with　an　α-stability　constraint　for　uncertain　systems　with　time-varying　state　delays,　which　are　subject　to　norm-bounded　noise　and　parameter　uncertainties.　Via　the　change-of-variable　technique,　we　establish　the　sufficient　conditions　under　which　the　desired　filters　exist　in　terms　of　a　set　of　feasible　linear　matrix　inequalities　(LMIs).　And　the　explicit　expression　of　the　filter　is　derived　such　that　the　filtering　process　remains　asymptotic　testability　performance　level　for　all　admissible　parameter　uncertainties.　An　illustrative　example　is　provided　to　demonstrate　the　validity　of　the　theoretical　results.　©　2006　IEEE.