In　this　paper,　we　propose　a　Lotka-Volterra　competitive　system　with　infinite　delay　and　feedback　controls.　By　using　the　method　of　multiple　Lyapunov　functionals　and　by　developing　a　new　analysis　technique,　we　establish　the　sufficient　conditions　which　guarantee　that　some　of　the　n　species　are　driven　to　extinction.　Two　examples　together　with　their　numerical　simulations　show　the　feasibility　of　our　main　results　and　the　considerable　effects　of　feedback　controls　on　the　extinction　of　species.　(C)　2012　Elsevier　Ltd.　All　rights　reserved.