This　paper　is　concerned　with　the　exponential　stability　and　L-1-gain　analysis　problem　for　switched　positive　T-S　fuzzy　systems　under　both　time-varying　delays　and　asynchronous　switching.　By　permitting　the　increase　of　the　designed　multiple　Lyapunov　functionals　during　the　running　time　of　the　activated　sub-system,　system,　solvable　conditions　for　the　stability　and　L-1-gain　are　developed　by　adopting　the　mode-dependent　average　dwell　time　(MDADT)　technique.　The　desired　controllers　guaranteeing　the　stability　and　the　L-1-gain　performance　are　designed　based　on　the　obtained　solvable　conditions.　An　example　is　given　to　demonstrate　the　effectiveness　of　the　proposed　methods.　(C)　2018　The　Franklin　Institute.　Published　by　Elsevier　Ltd.　All　rights　reserved.