In　this　paper,　the　issues　of　stability　and　L1-gain　performance　analysis,　by　means　of　the　multiple　linear　copositive　Lyapunov　function　method,　for　switched　positive　systems　defined　on　the　nonnegative　state　space,　are　addressed.　A　vital　feature　of　the　developed　switching　strategy　lies　in　relaxing　the　restriction　that　connecting　adjacent　Lyapunov　functions　at　switching　points　is　required.　This　allows　us　to　introduce　a　gap　at　switching　points　to　prevent　chattering　behavior.　Then,　with　the　help　of　the　designed　switching　policy,　sufficient　conditions　of　guaranteeing　the　solvability　of　the　problems　are　established,　and　the　proposed　methodology　is　also　extended　to　the　case　where　all　subsystems　consist　of　interval　type　parameter　uncertainties.　Finally,　through　two　examples,　the　validity　and　feasibility　of　the　proposed　methods　are　demonstrated.　©　2022　Elsevier　Ltd