This　paper　concerns　the　problem　of　robust　H-infinity　filtering　with　an　a-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　alpha-stability　performance　level　for　all　admissible　parameter　uncertainties.　An　illustrative　example　is　provided　to　demonstrate　the　validity　of　the　theoretical　results.