This　paper　is　focused　on　designing　the　H∞　controller　for　the　linear　neutral　system　with　input　delay　in　the　limited　frequency　domain.　A　stable　controller　for　nominal　neutral　systems　is　designed　with　Lyapunov-Krasovskii　functionals.　Furthermore,　based　on　the　generalized　KYP　lemma,　a　sufficient　condition　is　established　to　guarantee　that　the　neutral　type　input　delay　system　with　the　controller　can　satisfy　H∞　performance　in　the　limited　frequency　domain.　Finally,　a　numerical　example　and　the　two-stage　dissolution　tanks　system　are　given　to　illustrate　the　effectiveness　of　the　proposed　design　procedure.　©　2020　Technical　Committee　on　Control　Theory,　Chinese　Association　of　Automation.