In　this　paper,　we　consider　an　autonomous　Lotka-Volterra　competitive　system　with　infinite　delays　and　feedback　controls.　The　extinction　and　global　stability　of　equilibriums　are　discussed　using　the　Lyapunov　functional　method.　If　the　Lotka-Volterra　competitive　system　is　globally　stable,　then　we　show　that　the　feedback　controls　only　change　the　position　of　the　unique　positive　equilibrium　and　retain　the　stable　property.　If　the　Lotka-Volterra　competitive　system　is　extinct,　by　choosing　the　suitable　values　of　feedback　control　variables,　we　can　make　extinct　species　become　globally　stable,　or　still　keep　the　property　of　extinction.　Some　examples　are　presented　to　verify　our　main　results.　(C)　2012　Elsevier　Ltd.　All　rights　reserved.