In　this　brief,　emphasis　is　placed　on　the　global　uniform　asymptotic　stability　analysis　of　a　switched　system　formulated　by　cyclic　or　periodic　switching　laws.　First,　several　concepts　and　properties　of　cyclic　or　periodically　switched　systems　are　defined.　Next,　by　using　the　cycle　dwell　time　or　cyclic　period　time　switching　method,　new　stability　criteria　for　cyclic　or　periodically　switched　systems　with　all　Hurwitz　stable　sub-systems　are　obtained　in　the　context　of　general　solutions.　Moreover,　new　stability　conditions　for　cyclic　or　periodically　switched　systems　with　partially　unstable　sub-modes　are　derived　in　the　framework　of　general　solutions.　Finally,　two　examples　are　provided　to　demonstrate　the　feasibility　of　the　developed　criteria.