This　paper　studies　the　consensus　problem　of　homogeneous　multi-agent　systems　(MASs),　in　which　each　agent　is　governed　by　the　switched　linear　dynamics.　It　is　assumed　that　the　switching　between　the　subsystems　of　the　agents　is　arbitrary,　and　the　communication　topology　contains　a　directed　spanning　tree.　By　utilizing　the　incidence　matrix　of　a　directed　spanning　tree　to　construct　a　transformation　matrix,　we　make　an　equivalent　transformation　from　the　globally　uniformly　asymptotic　consensus　problem　of　the　MAS　to　the　globally　uniformly　asymptotic　stability　(GUAS)　problem　of　a　switched　linear　system.　Then　we　derive　some　linear　matrix　inequalities　(LMIs)　based　sufficient　conditions　for　ensuring　the　globally　uniformly　asymptotic　consensus　of　the　MAS,　by　employing　the　common　Lyapunov　function　method.　Furthermore,　the　agent　agreed　state　value　is　also　developed.　We　finally　give　several　numerical　examples　to　verify　the　correctness　of　the　theoretical　results.