This　paper　is　concerned　with　the　secure　consensus　problem　of　multiagent　systems　under　switching　topologies.　The　studied　multiagent　systems　are　affected　by　both　denial-of-service　(DoS)　attacks　and　external　disturbances.　To　solve　the　secure　H∞　consensus　problems,　some　modified　definitions　are　presented.　Some　graph-based　Lyapunov　functions,　which　are　based　on　the　solutions　of　some　Lyapunov　equations　and　the　graph　information,　are　also　designed　for　the　H∞　performance　analysis.　Moreover,　graph-based　frequency　and　durations　have　also　been　presented　for　attaining　the　expected　system　performance.　The　stabilization　controllers　are　also　developed　based　on　the　solutions　to　some　Lyapunov　equations　and　an　algebraic　Riccati　equation　(ARE),　which　are　easy　to　acquire.　Some　simulations　are　provided　to　validate　the　feasibility　of　the　proposed　scheme.　©　2021　Elsevier　Inc.