“…In each of these sections, we find expressions for increasing functions S or T and compute τ 1,2 (F) and τ 2,1 (F), as discussed already. Using ( 6), (7), (8), (9) and Remark 1.2, the switched system (1) is stable for all signals σ ∈ S[τ 1,2 (F), F] S[τ 2,1 (F), F] and asymptotically stable for all signals σ ∈ S [τ 1,2 (F), F] S [τ 2,1 (F), F]. Hence if τ (F) = min{τ 1,2 (F), τ 2,1 (F)}, then the switched system (1) is stable for each σ ∈ S[τ (F), F] and asymptotically stable for each σ ∈ S [τ (F), F].…”