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In a recent paper [Asymptotic of the largest Floquet multiplier forcooperative matrices Annales de la Facult\'e des Sciences de Toulouse, TomeXXXI, no 4 (2022)] P. Carmona gives an asymptotic formulae for the top Lyapunovexponent of a linear T-periodic cooperative differential equation, in the limitT goes to infinity. This short note discusses and extends this result.

A note on the top Lyapunov exponent of linear cooperative systems