In　this　paper,　the　problem　of　controller　design　for　Lur＇e　systems　guaranteeing　dichotomy　is　investigated.　On　the　basis　of　Kalman-Yakubovich-Popov　(KYP)　lemma　and　two　frequency　equalities,　a　new　methodology　for　the　dichotomy　analysis　of　the　Lur＇e　systems　is　proposed.　A　linear　matrix　inequality　(LMI)　based　criterion　is　derived,　which　is　equivalent　to　the　Leonov＇s　frequency-domain　one,　while　for　the　dichotomy　analysis　and　synthesis　which　is　more　straightforward　than　the　frequency-domain　one.　In　virtue　of　this　result,　a　dynamic　output　feedback　controller　ensuring　the　dichotomy　property　for　Lur＇e　systems　is　designed.　Finally　a　numerical　example　is　included　to　demonstrate　the　validity　and　the　applicability　of　the　proposed　approach.　Crown　Copyright　(C)　2011　Published　by　Elsevier　Inc.　All　rights　reserved.